Citation of A T

 

 

 

 

Jorge Almeida,  Angela Cardoso

A Sequence of Weakly Monotonic Automata with Increasing Level

Int. J. Algebra, 7 ( 2),  91 – 100,  2013

 

300  Kouji Yano

Random Walk in a Finite Directed Graph Subject to a Road Coloring

J. Theoret.. Probability, 26( 1) ,  2013, 259-283

 

Norman R. Reilly

Regular principal factors in free objects in Rees-Sushkevich varieties

Semigroup  Forum 86( 1), 162-182, 2013

 

M.V.  Sapir

Non-commutative combinatorial algebra

math.vanderbilt.edu, 2013

 

Carpi, Arturo ; D'ʼAlessandro,  Flavio

Independent sets of words and the synchronization problem

Advances in Applied Mathematics, V 50( 3), 339-355, 2013

 

Ed Dubinsky , Robin T. Wilson

High school students’ understanding of the function concept

J. of Mathematical Behavior . 32 ( 1), 2013, 83–101

 

Dmitry S. Ananichev, Vladimir V. Gusev, Mikhail V. Volkov

 Primitive  digraphs with large exponents and slowly synchronizing automata

(Примитивные орграфы с большими экспонентами и медленно синхроизируемые автоматы)

Zapiski Nauchnyh Seminarov POMI [Komb.  Teorija Grafov. IV], 402, 9-39 (2012).

 

 

Krieger,  Wolfgang ; Weiss, Benjamin

 Sofic  random  processes

J. REINE UND ANGEW. MATH  671,   31-47,  2012

 

Igor Podolak

Klasyfikator  Hierarchiczny

 Wyd. Uniw. Jagiellońskiego,  Krakow,  2012

 

Edmond W. H. Lee,  Jian Rong  Li, Wen Ting Zhang

Minimal non-finitely based semigroups

Sem. Forum, 3(85),  577-580, 2012

 

Lee Edmond W. H

A sufficient condition for the non-finite basis property of semigroups

 Monatshefte Math. V.168, I. 3-4, 2012, 461-472

 

 

290. Dolinka, Igor

ON FREE SPECTRA OF VARIETIES OF LOCALLY THRESHOLD TESTABLE SEMIGROUPS

INTERNATIONAL  ALG.  COMPUT. 22 (6) , 2012

 

Reviewer:Peter R. Jones ZBL 1234*20064, 2012

Dolinka, Igor

On free spectra of locally testable semigroup varieties.

Glasg. Math. J. 53, No. 3, 623-629 (2011).

 

 

 Lee Edmond W. H

A sufficient condition for the non-finite basis property of semigroups

 Monatshefte Math. V.168, I. 3-4, 2012, 461-472

 

Lee, Edmond W. H.

VARIETIES GENERATED BY 2-TESTABLE MONOIDS

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 49( 3),: 366-389   

 

Jane Chandlee, Jie Fu, Konstantinos Karydis, Cesar Koirala, Jeffrey Heinz, Herbert Tanner

Integrating Grammatical Inference into Robotic Planning

The 11th ICGI JMLR, Conf. Proc. 21(2012)  69–83.

 

Vladimir V. Gusev

Synchronizing Automata of Bounded Rank

CIAA 2012, LNCS, 7381(2012), Impl. Appl. of Automata, 171-179

 

Fedor Fominykh, Mikhail Volkov

Playing for Synchronization

CIAA 2012, LNCS, 7381(2012), Impl. Appl. of Automata, 159-170

 

Pavel V. Martyugin

Synchronization of Automata with One Undefined or Ambiguous Transition

CIAA 2012, LNCS, 7381(2012), Impl. Appl. of Automata, 278-288.

 

Mikhail V. Berlinkov

Synchronizing Automata on Quasi-Eulerian Digraph

CIAA 2012, LNCS, 7381(2012), Impl. Appl. of Automata, 90-100

 

Galina Jirásková , Tomáš Masopust

On the State and Computational Complexity of the

Reverse of Acyclic Minimal DFAs

CIAA 2012, LNCS, 7381(2012), Impl. Appl. of Automata,. 229–239.

 

280.  Trahtman  A.N.

 An algorithm for road coloring.

J. Disc. Alg. 213–223, 16 (2012) 

 

Reviewer: Alfredo Donno,  MR2884814 (2012)

 Kouji Yano, Kenji Yasutomi

Realization of an ergodic Markov chain as a random walk

subject to a synchronizing road coloring.

J. Appl. Probab. 48(2011), 3, 766–777.

Edmond W. H. Lee

Finite Basis Problem for Semigroups of Order Five or Less:

Generalization and Revisitation

Studia Logica, 2012

 

Kudłacik, R. Roman, A. Wagner, H.,

Effective Synchronizing Algorithms

Expert Syst. Appl., 39 (14), 11746-11757, 2012

 

V.Yu. Protasov,  A.S. Voynov

Sets of nonnegative matrices without positive products

Linear Alg. & Appl.,  437 (3), 749-765, 2012

 

Igor T. Podolak, Adam Roman, Dariusz Jędrzejczyk

Application of Hierarchical Classifier to Minimal Synchronizing Word Problem

AISC, LNCS 7267(2012), 421-429

 

Trahtman A.N.

Some new Features and Algorithms for the Study of DFA

Open J. Discr. Math., 2(2), 2012, 45-50

 

Jean Berstel, Clelia De Felice, Dominique Perrin,

Christophe Reutenauer, Giuseppina Rindone

Recent results on syntactic groups of prefix codes

Europ. J. Comb., 33(7), 1386-1401,  2012

 

Raphaël M. Jungers

The Synchronizing Probability Function of an Automaton

SIAM J. Discrete Math. 26/1, 2012, 177-192

 

Adam Roman

P–NP Threshold for Synchronizing Road Coloring

Language and Automata Theory and Applications, LNCS 7183(2012), 480-489

 

270. G. Mashevitzky

Bases of identities for semigroups of bounded rank transformations of a set.

Israel J. Math., 2012,  1(191), 451-481

 

Khoury, Raphaël / Tawbi, Nadia

Which security policies are enforceable by runtime monitors? A survey

Comput. Sci. Review, 6 (1), 27-45, 2012

 

Reviewer: Marcel G. Jackson,  MR2851972(2012)

Zhang, Wen Ting(PRC-LAN); Luo, Yan Feng(PRC-LAN)

A new example of a minimal nonfinitely based semigroup.

Bull. Aust. Math. Soc. 84 (2011), no. 3, 484–491.

 

Kouji Yano

Random Walk in a Finite Directed Graph Subject to a Road Coloring

J. Theor. Probability, 2012

Science.gov, v.5.0,  2011

 

Wen Ting Zhang and Yan Feng Luo

 The Variety Generated by All Non-Permutative and Non-Idempotent

Semigroups of Order Four.

Proc. The Int. Conf. Algebra 2010: Indonezia, World Sci. (2011), 721-735.

 

Brian Marcus.

Symbolic Dynamics.  Math. of Complexity and Dynamical

Systems. 2011, 1689-1710.

 

E. W. H. Lee, Jlan Rong Li

Minimal non-finitely based monoids

Diss.  Math. ( ROZPRAWY MATEMATYCZNE)

475, Warshawa, 2011, 65

 

Wen Ting Zhang, Yan Feng Luo

A new example of a minimal nonfinitely based semigroup

 Bull. of the Austr. Math. Soc., 3(84), Cambr. Univ Press, 2011, 484-491

 

MV Volkov, SV Goldberg, and SI Kublanovsky

A MINIMAL NONFINITELY BASED SEMIGROUP WHOSE VARIETY

IS POLYNOMIALLY RECOGNIZABLE
J. of Mathematical Sciences,. 6(177), 2011, 847-859

 

I. Dolinka

On free Spectra  of Locally Testable Semigroup Varieties

Glasgow Math. J., 53 (2011), 623–629.

 

 260 V  Kouji Yano and Kenji Yasutomi

Realization of an ergodic Markov chain as a random walk subject

 to a synchronizing road coloring.

J. Appl. Probab. V. 48, 3 (2011), 766-777.

 

ladimir V. Gusev

Lower Bounds for the Length of Reset Words in Eulerian Automata

Lect. Notes in Comput, Sci., 6945(2011), Reachability Problems, 180-190

 

E. W. H. Lee

A sufficient condition for the non-finite basis property of semigroups

Monatshefte für Mathematik, 2(83),  2011 250-280

 

Trahtman A.N.

An Algorithm for Road Coloring.

Lect. Notes in Comp. Sci, Springer, 7056 (2011), Springer, 349--360

 

Ishanu Chattopadhyay, Yicheng Wen, Asok Ray, Shashi Phoha

Unsupervised Inductive Learning In Symbolic Sequences via Recursive

Identification of Self-Similar Semantics.  

American Control Conference, CA, USA, 2011, 125-130

 

М. В. Берлинков

О погрешности полиномиального вычисления оптимальной

раскраски графа в синхронизируемый автомат

(On the error of polynomial computations of optimal

 graph coloring in a synchronized automaton)

Прикл. дискр мат. (Appl. disc. math.)

2011, № 2, 49–72

 

Benjamin Steinberg

The Černý conjecture for one-cluster automata with prime length cycle.

Theoret. Comput., Sci., 412(39), 5487-5491, 2011

 

B. A. Davey, M. G. Jackson, J. G. Pitkethly and C. Szabó

Finite degree: algebras in general and semigroups in particular

Semigroup Forum, V. 83, 1(2011), 89-110

 

Simon M. Goberstein

Lattice isomorphisms of bisimple monogenic orthodox semigroups

Semigroup Forum, 2011, 2(83), 250-280

 

Trahtman A.N.

Modifying the upper bound on the length of minimal synchronizing word.

 Lect. Notes in Comp. Sci, Springer, 6914(2011), 173-180

 

250. Lee EWH, Volkov MV

 Limit Varieties generated by completely 0-simple Semigrouos

Int. J. of Alg. and Comput.,  21(1-2),   257-294,   2011

 

Luo, Yanfeng / Zhang, Wenting,

On the variety generated by all semigroups of order three

 J. of Algebra, 334(1), 1-30, 2011

 

Beal MP, Berlinkov MV, Perrin D

 A QUADRATIC UPPER BOUND ON THE SIZE OF A SYNCHRONIZING WORD

IN ONE-CLUSTER AUTOMATA

Int. J Found. Comput. Sci. 22(2), 277-288, 2011

 

Berwick, Robert C. , Okanoya, Kazuo , Beckers, Gabriel J.L, Bolhuis, Johan J.

  Songs to syntax: the linguistics of birdsong.

Trends in Cognitive Sciences, V 15, I 3, 113-121, 2011

 

K.Chmiel, A.Roman

COMPAS - A Computing Package for Synchronization

LNCSImpl. and Appl. of Automata, , 6482(2011), 79-86 2011

 

G. Budzban and Ph. Feinsilver

The generalized road coloring problem and periodic digraphs

Applicable Algebra in Engineering, Communication and Computing, 2011

 V 22, N 1,  2011, 21-35

 

E.W.H. Lee

Finite basis problem for 2-testable monoids

Centr. Eur. J. of Math,. Vol. 9, N 1, 2011, 1-22

 

Goran Hognas, Arunava Mukherjea

Probability Measures on Semigroups

Convolution Products, Random Walks and Random Matrices

Probability and Its Applications, Springer, 2011, 1-62

 

 Roman, Adam

The NP-completeness of the Road Coloring Problem

 Information Processing Letters, 111 (7), .342,  2011

 

 Kudryavtseva G.

Ordered semigroups, upper-triangular reflexive relations and semigroups of languages.

 IJAC 6, 20(2010), 823–832.

 

240. Roman A.

Experiments on Synchronizing Automata

Schedae Informaticae, Versita, Warsaw, V. 19, 35-51, 2010

 

MV Volkov, SV Goldberg S. I. Kublanovsky

A minimal nonfinitely based semigroup whose variety is polynomially recognizable

 (М. В. ВОЛКОВ, С. В. ГОЛЬДБЕРГ,  С. И. КУБЛАНОВСКИЙ

Минимальная бесконечно базируемая полугруппа

с полиномиально распознаваемым многообразием)

Фунд. и приклат., 16, 3(2010), 105—122.

 

RM Jungers

The synchronizing probability function of an automaton
JM2010 . LNCS, 6072:37–47, 2010.

 

M. Jackson and M. Volkov

The Algebra of  Adjacency Patterns: Rees Matrix Semigroups with Reversion

Fields of Logic and Computation

LNCS  Volume 6300( 2010), 414-443,

 

  Benjamin Steinberg

A Theory of Transformation Monoids:

Combinatorics and Representation Theory

The Electronic Journal of Combinatorics,  v.17,  i. 1,   2010, 3-56

 

Arturo Carpi, Flavio D'Alessandro

Locally strongly transitive automata and the Hybrid Cerny-Road coloring problem

12-th ICTCS, Camerino, Italy, 2010

 

James Rogers, Jeffrey Heinz, Gil Bailey, Matt Edlefsen and Molly Visscher, et al.

On Languages Piecewise Testable in the Strict Sense

LNCS, 6149(2010),  MOL, 255-265

 

Dmitry Ananichev, Vladimir Gusev, Mikhail Volkov

Slowly Synchronizing Automata and Digraphs

LNCS 6281(2010), MFCS 2010, 55-65

 

Graph Coloring: Four Color Theorem, Acyclic Coloring, List Coloring, Chromatic Polynomial,  Equitable Coloring, Hadwiger Conjecture

Life Journey 2010, 170

 

Israeli Mathematicians: Adi Shamir, Giulio Racah, Saharon Shelah, Zlil Sela, Robert Aumann,

Michael O. Rabin, Oded Schramm, Avraham Trahtman

Books LLC, 176, 2010

 

230 Yuri. Gulak,

On Elementary and Algebraic Cellular Automata

Unifying Themes in Complex Systems, Proc.of the Sixth Int. Conf., P.1, Ch. 7, 2010, 50-57

 

.Combinatorics,

 Factorial, Binomial Coefficient, Combinatorics, Permutation,

Combination, Pigeonhole Principle, Catalan's Constant

Books LLC, Barnes & Noble, 612, 2010

I. Woungang, S. Misra and S. Chandra Misra

Selected Topics in Information and Coding Theory

Series on Coding Theory and Cryptology, v. 7, World Scientific, Singapore, 2010

Automata Theory: Finite- State Machine, Regular Expression, Pushdown Automaton,

Star Height Problem, Tree Automaton, Sequential Logic,  Books LlC,  290,  2010

Mathematics and Culture: Leonardo Da Vinci, Arcadia, Magic Square,

 Mathematical Folklore, Danica Mckellar, Proof, Mathematics and Art, Numbers

Books LlC,  846,  2010

S. Shin, J. Yoo 

A note on the rank of semigroups

Semigroup Forum V 81, N 2, 335-343, 2010

 JEAN BERSTEL, DOMINIQUE PERRIN, CHRISTOPHE REUTENAUER

Codes and Automata,

Cambridge University Press, 2010, 620

Lambert M Surhone, Miriam T. Timpledon, Susan F Marseken 

Road Coloring Problem .

VDM Verlag Dr. Mller AG & Co. Kg,  2010, 76

 

M. Berlinkov

On a Conjecture by Carpi and D'Alessandro

 Developments in Language Theory, Springer, NY, 

 LNCS 6224, 2010,  66-75

 

B. Steinberg

The Averaging Trick and the Cerny Conjecture

- Developments in Language Theory, Springer, NY, 

 LNCS 6224, 2010, 423-431

 

220. A Carpi, FD'Alessandro

On the Hybrid Cerny-Road Coloring Problem and Hamiltonian Paths

- Developments in Language Theory, Springer, NY, 

 LNCS 6224, 2010, 124-135

 

George G. Szpiro

A Mathematical Medley: Fifty Easy Pieces on Mathematics

AMS Bookstore, 2010, 236

Trahtman A. N.

A Partially Synchronizing Coloring

CSR-2010,  Lecture Notes in Computer Science 6072, Springer, 2010, 362-370

Trahtman A.N., Bauer T., Cohen N.

Linear visualization of a Road Coloring.

9th Twente workshop on graphs and Comb. Optim., Cologne 2010, 13-16

 

N Karimi

Synchronizing Coloring Of A Directed Graph
 Proc. of the IMECS 2010, Hong Kong,, Vol III, 1-5

 

Gary Chartrand, Linda Lesniak, Ping Zhang

Graphs & Digraphs, Fifth Edition

 Taylor@Francis

 group, Chapman & Hall , 2010, 480p.
 

 A Cerna, J Cerny
Position Identification of Moving Agents in Networks
. Acta Polytechnica Hungarica Vol. 7, No. 2, 2010. 5 -23.


Charles C. Edmunds, Edmond W. H. Lee and Ken W. K. Lee
Small Semigroups Generating Varieties with Continuum Many Subvarieties
 Order, V.27, N1 . Springer, 2010, 83-100 

 

  Budzban G., Feinsilver P.

An approach to road coloring problem based on vector spaces.

(Подход к задаче раскраски дорог, основанный на векторных пространствах

ZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII  Math., 2010, N 1, 10–15
 

D.S. Ananichev 

The threshold of avoidance of partially monotonic automata

(Порог аннуляции для частично монотонных автоматов)

IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII Math
2010, N 1,  1–9

 210. Steinberg B.
Cerny’s conjecture and group representation theory
 Journal of Algebraic Combinatorics, v. 31,  1 ( 2010 ), 83-109

Steinberg B

A Theory of Transformation Monoids: Combinatorics and Representation Theory

ELECTRON. J. COMB.   V 17(1), 2010, 3-56

  Meena Mahajan,  B. V. Raghavendra Rao 

Small-space analogues of Valiant's classes

FCT'09, Proceedings of the 17th int. conf, on Fund.. comput. theory 

Springer-Verlag Berlin, Heidelberg , 2009

Riccardo Dondi

The longest haplotype reconstruction problem revisited

FCT09, 109-120, 2009

B. Marcus

Symbolic Dynamics. Encyclopedia of Complexity and Systems Science

Springer, New York, 2009, 8888-8910

 

P.Martyugin

Complexity of problems concerning reset words for some partial cases of automata

Acta Cybernetica , V 19,  Issue 2,  2009 , 517-536  

Arturo Carpi, Flavio D’Alessandro

Strongly transitive automata and the Cerny conjecture

Acta Informatica, V 46, 8(2009), 591-607.

 

B Steinberg

The averaging trick and the Cerny conjecture
Trans. Amer. Math. Soc. 361 (2009), 1429–1461.

 

A. Bogomolny, The Lighter Side of Mathematics,

R.K Guy and R.E.Woodrow, eds. 2009


Biskup, M.T.  Plandowski, W. ,

Shortest synchronizing strings for Huffman codes

Theoretical Computer Science, 410 (38),  3925-3941,  2009

 

  A Carpi, FD'Alessandro

The Synchronization Problem for Locally Strongly Transitive Automata
34th International Symposium, MFCS 2009, LNCS 5734 (2009) - Springer. 211–222

 

200. EWH LEE

COMBINATORIAL REES–SUSHKEVICH VARIETIES THAT ARE CROSS,

FINITELY BASED, OR SMALL
 - Bulletin of the Australian Mathematical Society, 2009

 

 James Rogers, Jeffrey Heinz, Gil Bailey, Molly Visscher, David Wellcome,

Matt Edlefsen, and Sean Wibel.

On Languages Piecewise Testable in the Strict Sense.

Proceedings of the 11th Meeting of the Association of Math.of Language. 2009

 

Rauff, James V

WAY BACK FROM ANYWHERE: EXPLORING THE ROAD COLORING CONJECTURE, 

Mathematics and Computer Education. 01, 2009.

 

 J Almeida, B Steinberg

Matrix Mortality and the Cerny-Pin Conjecture
 Germany,  DLT 2009,  LNCS 5583( 2009), 
Springer Monographs in Mathematics. Springer,  67-80

 

MP Beal, D Perrin

A Quadratic Upper Bound on the Size of a Synchronizing Word in One-Cluster Automata
 Germany, DLT,  Springer Monographs in Mathematics. Springer,  81-90, LNCS 5583( 2009)


Trahtman A.N.

The road coloring problem.

 Israel Journal of Math. , 172(1), 51-60, 2009

 

Jurgen Bang-Jensen, Gregory Gutin
Digraphs: Theory, Algorithms and Applications.

Springer Monographs in Mathematics, 2-nd edition, 2009
 

M.V. Volkov

Synchronizing automata preserving a chain of partial orders
TheoreticalComputerScience  410 (37),  3513-3519, (2009)

 

Roman A.

Decision Version of the Road Coloring Problem is NP-complete,

LNCS 5699 (2009) 287-297

 

  Peter M Neumann

Primitive permutation groups and their section-regular partitions
Michigan Math. J. ,V.58, Issue 1, 309-322. 2009

 

 190.   Shevrin L.N., Vernikov B.M., Volkov M.V.

Lattices of semigroup varieties

IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII, MAT.

53, N 3, 3–36, (Russian) 2009

 

 J. Berstel, D. Perrin, C. Reutenauer

Codes and automata

Version 14,  2009

 

Roman A

Genetic Algorithm for Synchronization
LNCS 5457, 684-695, 2009

 

Dolinka I.

A class of inherently nonfinitely based semirings
 Algebra Univ., 60(1), 19-35, 2009


Roman A

Synchronizing finite automata with short reset words
(ICCMSE 2005), , 2005 Corinth, GREECE
APPLIED MATHEMATICS AND COMPUTATION, Is. 1, 125-136, 209(2009 )


Reilly NR

Shades of orthodoxy in Rees-Sushkevich varieties

 SEMIGROUP FORUM   V 78 1, 157-182,    2009

 M Boyle 

Geometric and probabilistic structures in dynamics:

Contemporary Mathematics V. 469, 2008, 70-96

Edward P. Stabler

Computational Linguistics: Language Learning

2008

Gulak Yu.

On Elementary and Algebraic Cellular Automata

 Unifying themes in Compl. syst., Proc of 6-th conf, NECS,

v. 6, Springer, 50-57, 2008

M V. Volkov

Synchronizing automata and the Černý conjecture

 Language and automata theory and applications, 2008 - Springer

 LNCS 2008 5196/2008, 11-27,

 180.  Volkov M.V.

Synchronizing Automata and the Road Coloring Theorem

Russian-Indian Workshop on Algebra, Combinatorics and Complexity

(a satellite workshop of the 3rd International Computer Science Symposium in Russia),

Moscow, Russia, 2008

 

Volkov M.V.

Synchronizing Strongly Connected Digraphs

AutoMathA Brainstorming and Cooperation Days, Wroclaw, Poland, 2008

 

Reilly NR

Varieties generated by completely 0-simple semigroups.

J. Aust. Math. Soc. 84 (2008), no. 3, 375--403.

 

 Trahtman A.N.

Road Coloring Problem. Implementation and Visualization of the Algorithm.

Proc. of  AMS-SMS joint meeting, Shanghai, 2008, 109-110.

 

Reilly NR
The interval [B-2, NB2] in the lattice of Rees-Sushkevich varieties
ALGEBRA UNIVERSALIS, v. 59:(3-4), 345-363, 2008
 

  Reviewer: Marcel G. Jackson MR2337869 (2008h:20080)
   Kamilla Katai-Urban, Csaba Szabo
On the free spectrum of the variety generated by the combinatorial

completely 0-simple semigroups.

Glasgow Math. J., 49, 1:, 93-98, 2007, 20M07(08B20)

 

G Chartrand, P Zhang 

Chromatic Graph Theory
series DISCR. MATH. & ITS APPL., CRC Press, 2008

 

Volkov MV

Synchronizing Automata and the Cerny Conjecture.
 Lang.& Aut. Theory & Appl. 2-d Int.Conf., Lata, Spain,  2008,

Springer,  LNCS 5196, 11-27, 2008
  

Boyle M

Open Problems in Symbolic Dynamics

Geom. & prob. struct. In dynamics: CONT. MATH. SER. v. 469, 69-118, 2008

 

A. Carpi, FD'Alessandro

The Synchronization Problem for Strongly Transitive Automata.
12th Int. Conf. DLT, Kyoto, LNCS 5257, 240-251, 2008 

 

170.  Reilly NR

Varieties generated by completely 0-simple semigroups

 J. of the Australian Math. Soc., Cambridge Univ Press - 84,  375-403, 2008

 

Lee EWH
Combinatorial Rees-Sushkevich varieties are finitely based.
Int. J. ALG. AND COMPUT.  V. 18   Issue: 5   957-978,  2008

 

Lee EWH,  Reilly NR
Centrality in Rees-Sushkevich varieties

 Algebra Universalis, 2(58), 2008

 

  Hermiller S, Holt DF, Rees S

Groups whose geodesics are locally testable.
J. ALG. AND COMPUT.  V. 18   Issue: 5   911-923,  2008
 

M.P.Beal, J.Berstel, B Marcus, D Perrin, Christophe Reutenauer, Paul H. Siegel

Length Codes and Finite Automata

World Sci. 2008

 

 Martyugin, P.V.

Series of slowly synchronizing automata with a zero state over a small alphabet 
Information and Computation. v. 206, Iss. 9-10, 1197-1203, 2008.

Jurgensen Helmut,

Synchronization

Information and Computation. v. 206, Iss. 9-10.1033-1044, 2008.

 

  Trahtman A.N.
The Road Coloring and Cerny Conjecture.
 Proc. of Prague Stringology Conference. 1-12,  2008.

Trahtman A.N.

Synchronizing Road Coloring.

5-th IFIP WCC-TCS, Springer, , 43-53, 273(2008).
 Milano, ITALY, INT. FED. FOR INF. PROCESSING   

 

 Marek Tomasz Biskup 

Shortest Synchronizing Strings for Huffman Codes.

LECT. NOTES IN COMPUT. SCI. 120--131, MFCS 2008, 5162(2008)
 

160. Ezek Jaroslav.

Universal Algebra. 2008

  

 Talhi, C. / Tawbi, N. / Debbabi, M.

Execution monitoring enforcement under memory-limitation constraints ,
  Information and Computation, 206 (2),  158-184, 2008
 

Kublanovsky S. I., Lee Edmond W. H., Reilly  Norman R.
Some conditions related to the exactness of Rees-Sushkevich varieties

Semigroup Forum,  76(1), 87-94, 2008

 Sharan, G.; Beysens, D.; Milimouk-Melnytchouk, I.

A study of dew water yields on Galvanized iron roofs in Kothara (North-West India)

Journal of Arid Environments, V. 69, I. 2, 259-269, 2007

 Jacobs, A.F.G.; Heusinkveld, B.G.; Berkowicz, S.M.

Passive dew collection in a grassland area

Atmospheric Research 87 (2007), 3-4. 377 - 385.

 

  EWH LEE,  MV VOLKOV

The structure of the lattice of combinatorial Rees-Sushkevich varieties

Proc of Conf. Semigroups & Formal Lang. Portugal, World Sci.   164-187, 2007

 

Mashevitzky G.

A new method in the finite basis problem with applications to rank 2

transformation semigroups

INT.J. OF ALG. AND COMPUT. 17 (7): 1431-1463, 2007

 

 Lee Edmond. W. H.

MINIMAL SEMIGROUPS GENERATING VARIETIES WITH

COMPLEX SUBVARIETY LATTICES

 Internat. J. Algebra Comput., 17(8), 1553 - 1572, 2007  

Reilly N.R.
Complete congruences on the lattice of Rees-Sushkevich varieties
COMMUNICATIONS IN ALGEBRA 35 (11): 3624-3659, 2007
 

Volkov MV.
Synchronizing automata preserving a chain of partial orders

CIAA 2007, Prague,  LECT. NOTES IN COMPUT. SCI. 4783, 27-37, 2007


150.  Lee Edmond W. H.

On a Simpler Basis for the Pseudovariety EDS 

 Semigroup Forum,  75 (2):  477-479, 2007

 

  Kamilla Katai-Urban, Csaba Szabo

ON THE FREE SPECTRUM OF THE VARIETY GENERATED BY
THE COMBINATORIAL COMPLETELY 0-SIMPLE SEMIGROUPS

Glasgow Math.  J., 49, 1:,  93-98, 2007

 

   Ananichev DS, Volkov MV, Zaks YI.
Synchronizing automata with a letter of deficiency 2. 

THEORETICAL COMPUTER SCIENCE, 376, 1-2, 30-41, 2007
 

  Trahtman A. N.

Synchronization of some DFA,

 LECTURE NOTES IN COMPUTER SCIENCE 4484, 234-243, 2007

 

 Lee E.W.H. ,

On the complete join of permutative combinatorial Rees-Sushkevich varieties, 
Int. Journal of Algebra 1, 1-9. 2007

 

 Adam Roman
Two simple methods for obtaining new classes of automata
fulfilling Cerny Conjecture

Schedae Informaticae, 16 (2007), 35-46.

I. Yu. Simonenko

On border relations on finite automata (Ia ioiioaiee a?aieo ia eiia?iuo aaoiiaoao)

Proceedings of  Int. Conf. Intellect Systems and Comp. Sci. MGU, 2006

Tzivion S. , Eppelbaum L
Water Production Using Air Cooling Under Conditions of Some World Coastal Regions
Proc. of First Int. Conf. IDP, Sede Boker, 2006, 139
 

 L Kontorovich, C Cortes, M Mohri

Learning linearly separable languages
 Lecture Notes in Computer Science,  4264(2006), 288-303

 

C Talhi, N Tawbi, M Debbabi

Execution monitoring enforcement for limited memory systems

Proc. of the 2006 Int. Conf. on Privacy, Security and Trust,

ACM Int.Conf.Proc. Series; V 380, 2006

 

140   Mazurov V.D., Khukhro E.I.

Unsolved problems in the theory of groups

Kourovka notes, Novosibirsk, 2006 (Russian)

 

Adam Roman
Merging states and synchronization problem
Schedae Informaticae 15 (2006), 95-108
 

 Reviewer: Marcel G. Jackson, MR2228521 (2007c:20130)
Lee, Edmond W. H.

Subvarieties of the variety generated by the five-element Brandt  semigroup.

Int. J. Algebra Comput. 16 (2006), no. 2, 417--441.  20M07

 

 Reviewer: I. Kozhukhov, Ref J Mat. (2006 .12-13-A06.152)

12 63, no. 2, 171--173 , 2006

Popov V. Yu.  

On the property of having an independent basis in semigroup varieties.
(Russian) Algebra Logika 44 (2005), 1, 81--96

 

  Gulak Yu.
Algebraic Properties of Elementary Cellular Automata
 Wolfram science conf. NKS 2006, Washington, 2006
 

Ananichev DS, Volkov MV, Zaks YI.
Synchronizing automata with a letter of deficiency 2 
LECTURE NOTES IN COMPUTER SCIENCE 4036: 433-442 2006

Lee, E.W.H.
Subvarieties of the variety generated by the five-element Brandt semigroup
 International Journal of Algebra and Computation 16 (2), 417-441. 2006
  
 del Campo, A.D., Navarro, R.M., Aguilella, A., Gonza?lez, E.
Effect of tree shelter design on water condensation and run-off and
its potential benefit for reforestation establishment in semiarid climates 

Forest Ecology and Management 235 (1-3), 107-115, 2006

Trahtman A.N.
An efficient algorithm finds noticeable trends and examples concerning the Cerny conjecture
LECTURE NOTES IN COMPUTER SCIENCE, MFCS2006, 4162, 789-800, 2006

130. Trahtman A. N.
Notable trends concerning the synchronization of graphs and automata.
El. Notes in Discrete Math., CTW06, Vol. 25, 173-175, 2006  

  Wang RH, Zhang HZ, Huang Q
Characteristics and laws of MODS coupling relation in and zone
 under global change 

CHINESE SCIENCE BULLETIN 51: 75-81 Suppl. 2006  
  
D. Beysens, I. Milimouk, V.S. Nikolayev, S. Berkowicz, M. Muselli,
    B. Heusinkveld and A.F.G. Jacobs
Comment on - "The moisture from the air as water resource in arid region:
 Hopes, doubt and facts" - by Kogan and Trahtman 

JOURNAL OF ARID ENVIRONMENTS 67 (2): 343-352 OCT 2006

 Kogan B., Trahtman A.N.
Response - Comment on - "The moisture from the air as water resource in
arid region: Hopes, doubt and facts" - by Beysens et al

JOURNAL OF ARID ENVIRONMENTS 67 (2): 353-356 OCT 2006

Vazquez A, Arias J, Sanchez RM
Calcite and hematite minerals: a promising application as dew water collectors 
EUROPEAN JOURNAL OF PHYSICS 27 (3): 667-673 MAY 2006

Seif S, Szabo C
Computational complexity of checking identities in 0-simple semigroups
 and matrix semigroups over finite fields 

SEMIGROUP FORUM 72 (2): 207-222 MAR-APR 2006  

   Muselli M, Beysens D, Millmouk I
A comparative study of two large radiative dew water condensers

JOURNAL OF ARID ENVIRONMENTS 64 (1): 54-76 JAN 2006

 

M Broy

 Model-based testing of reactive systems: advanced lectures
 LNCS, NY, Springer, 3472, 2005

 

S. D. Bruda

Preorder relations.

LECT. NOTES IN COMPUT. SCI.,Springer, 3472, 117-149, 2005

 

 Sven Sandberg 

 Homing and Synchronizing Sequences

LECT. NOTES IN COMPUT. SCI.,Springer, 3472, 5-33, 2005

 

Reviewer: Shelly L. Wismath  MR2190950 (2006i:20065)

Volkov, M. V.

On a question by Edmond W. H. Lee.

Izv. Ural. Gos. Univ. Mat. Mekh. No. 7(36) (2005), 167--178, 193.

 

120. Reviewer: Heinz Mitsch  MR2050901 (2005d:20102)
Lee, Edmond W. H.

Identity bases for some non-exact varieties.
Semigroup Forum 68 (2004), no. 3, 445--457., 2005

 

 Adam Roman

Synchronizing finite automata with short reset words

Int.Conf.on Comp.Methods in Sci. & Eng (ICCMSE 2005),  2005 GREECE
Advances in Computational Methods in Sciences and Engineering 2005, Vol. 4 A & 4 B  :

 LECTURE SERIES ON COMPUTER AND COMPUTATIONAL SCIENCES   

V: 4A-4B    492-495    2005
 

 Adam Roman
New Algorithms for Finding Short Reset Sequences in Synchronizing Automata
TRANSACTIONS ON ENGINEERING, COMPUTING AND TECHNOLOGY
ISSN 1305-5313, EC 05,  ENFORMATIKA V 7  13-17 2005

 

 Gulak Y
Algebraic properties of some quadratic dynamical systems
ADVANCES IN APPLIED MATHEMATICS 35 (4): 407-432 OCT 2005

Volkov, M. V.
 On a question by Edmond W. H. Lee.    
Izv. Ural Gos. Univ. Mat. Mech., No 7(36) (2005), 167--178, 193.  

 Ananichev DS
The mortality threshold for partially monotonic automata
LECTURE NOTES IN COMPUTER SCIENCE 3572: 112-121 2005
 
 Jackson M
Finite semigroups with infinite irredundant identity bases
INT. J. OF ALGEBRA AND COMPUT. 15 (3): 405-422 JUN 2005

Pearce F
Pyramids of dew
NEW SCIENTIST 186 (2495): 52-53 APR 16 2005

 Ananichev DS, Volkov M
Synchronizing generalized monotonic automata
THEORETICAL COMPUTER SCIENCE 330 (1): 3-13 JAN 31 2005

Popov V. Yu.  
On the property of having an independent basis in semigroup varieties.
(Russian) Algebra Logika 44 (2005), 1, 81--96, 128; transl. in Algebra Logic

44 (2005), 1 46--54  

 

110.  Mark V. Lawson

Finite Automata

 Chapman&Hall/CRC, 2004

 

 Vernitski  Alexei

Finite quasivarieties and self-referential conditions. 

Studia Logika, v. 78 (1-2), 337-348, 2004


Trahtman A N
Reducing the time complexity of testing for local threshold testability
THEORETICAL COMPUTER SCIENCE 328 (1-2): 151-160 29 2004
 
 Lee EWH
Identity bases for some non-exact varieties
SEMIGROUP FORUM 68 (3): 2004, 445-457  

 Popov, V. Yu.
On independently partitionable sets of semigroup identities

[Translation of Mat. Tr. 6 (2003), no. 1, 98--154;].  

Siberian Adv. Math. 14 (2004) 2, 27--78. 

 

Reviewer Volkov, M. V. :Zbl 1069.08007 

Denecke, Klaus; Pibaljommee, Bundit
Locally finite $M$-solid varieties of semigroups.
Discuss. Math., Gen. Algebra Appl. 23, No. 2, 139-148 2003 .
 

Reviewer: Volkov, M. V. , Zbl 1069.08007
Denecke, Klaus; Pibaljommee, Bundit
Locally finite $M$-solid varieties of semigroups.
[J] Discuss. Math., Gen. Algebra Appl. 23, No. 2, 139-148, 2003.

Flavio d'Alessandro,  Jacques Sakarovitch

The finite power property in free groups 

Theoret. comput.. sci., 1(293), Elsevier, 2003, 55-82 


 Trahtman A N
Reducing the time complexity of testing for local threshold testability
LECTURE NOTES IN COMPUTER SCIENCE  2759 141-149 2003   
 
Trahtman A N
A polynomial time algorithm for left [right] local testability
LECTURE NOTES IN COMPUTER SCIENCE 2608 203-212 2003  

100.   Trahtman A N
A package TESTAS for checking some kinds of testability
LECTURE NOTES IN COMPUTER SCIENCE 2608 228-232, 2003

 

Popov VY
On independent partition of systems of semigroup identities
Math. works, iss. 1, 6(2003), 98-154 (Russian)

Popov VY
About independently based varieties of  monoids

Fundem. and appl. math. iss. 3, 8(2002), 829-876 (Russian)
 

Shevrin L.N.

Semigroups

in "The Concise Handbook of Algebra"(eds. A.V. Mikhalev,

G.F. Pilz). Boston: Kluwer Ac. Publ., 1-70, 2002

 

  Almeida J.

 Finite semigroups.  An introduction to a unified theory of pseudovarieties

in Sem., Alg. ,Aut. and Languages, eds Gomes, Pin.Silva. World Sci., , 2002

 

Campeanu C, Salomaa K, Vagvolgyi S
Shuffle quotient and decompositions
LECTURE NOTES IN COMPUTER SCIENCE 2295: 186-196 2002

   C Campeanu, K Salomaa, S Vagvolgyi -

SHUFFLE DECOMPOSITIONS OF REGULAR LANGUAGES

Int. J. of Foundations of Computer Science, 799-816, Vol. 13 No. 6 (2002)

 

 Jackson M
Small inherently nonfinitely based finite semigroups
SEMIGROUP FORUM 64 (2): 297-324 MAR-APR 2002 

 Volkov, M. V.
 Gyorgy Pollak's work on the theory of semigroup varieties:
its significance and its influence so far.

Acta Sci. Math. (Szeged)}, 68 (2002), no. 3-4 875--894.

 Volkov, M. V.
 Gyorgy Pollak's work on the theory of semigroup varieties:
 its significance and its influence so far.  

Acta Sci. Math. (Szeged)} 68 (2002), 1-2 9--28.  

 

90. Christian Glazer , Heinz Schmitz

The Boolean Structure of Dot-Depth One

Journal of Automata, Languages and Combinatorics v.6, N4,  437-452, 2001

 

V.L. Selivanov.

A logical approach to decidability of hierarchies of regular star-free languages
STACS-2001, LECT. NOTES IN COMPUT. SCI., 2010: 539-550, 2001


Popov VY
Decidability of equational theories of coverings of semigroup varieties
SIBERIAN MATHEMATICAL JOURNAL 42 (6): 1132-1141 NOV-DEC 2001

Petrich M
Bases for existence varieties of strict regular semigroups
BULL. OF THE BELGIAN MATH. SOC - SIMON STEVIN 8 (3):

411-450 JUL-SEP 2001
 
 Costa JC
Free profinite locally idempotent and locally commutative semigroups
JOURNAL OF PURE AND APPLIED ALGEBRA 163 (1): 19-47 SEP 7 2001

Popov VY
A ring variety without an independent basis
MATHEMATICAL NOTES 69 (5-6): 657-673 MAY-JUN 2001

  Teixeira ML
On semidirectly closed pseudovarieties of aperiodic semigroups
J. OF PURE AND APPLIED ALG. 160 (2-3): 229-248 JUN 25 2001
 
Texeira ML
The semidirectly closed pseudovariety generated by aperiodic Brandt semigroups
INT. J. OF ALGEBRA AND COMPUT. 11 (2): 247-267 APR 2001

Trahtman A N

Piecewise and local threshold testability of DFA. Lect. Notes in Comp. Sci, 2138(2001),

347-358, 13 Int. Symp. on Fund. of Comput. Theory., Riga, Latvia, Aug. 2001.


Volkov MV
The finite basis problem for semigroup varieties.
Sci. math. Japonicae 53, no. 1 (2001), 171--199.

 

 80. Volkov MV
The finite basis problem for finite emigroups. The survey.
Proc. of Int Conf. In Semigroups, World Sci. Braga, , 244--290, 2000.

 

Reviewer: Volkov MV.,  Zbl 0959.20052

Jackson, Marcel
Finite semigroups whose varieties have uncountably many subvarieties.
J. Algebra 228, No.2, 512-535, 2000.

Crvenkovic S., I.Dolinka,

Varieties of involution semigroups and involution semirings: a survey,

Proc. of the Int. Conf. "Contemp. Develop. in Math." (Banja Luka, 2000),

 special issue of Bulletin of Society of Mathematicians of Banja Luka 9 (2002), 7-47

Crvenkovic S, Dolinka I, Vincic M
Equational bases for some 0-direct unions of semigroups
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA

 36 (3-4): 423-431 2000

 

Jackson M

Small semigroup related structures with infinite properties
Bulletin of the Australian Math. Soc. (2000), 61:525-527


 Jackson M
Finite semigroups whose varieties have uncountably many subvarieties
JOURNAL OF ALGEBRA 228 (2): 512-535 JUN 15 2000

 Higgins PM, Margolis SW
Finite aperiodic semigroups with commuting idempotents
 and generalizations

ISRAEL JOURNAL OF MATHEMATICS 116: 367-380 2000

Trahtman A N
Algorithms finding the order of local testability of deterministic

finite automaton and estimations of the order
THEORETICAL COMPUTER SCIENCE 235, 183-204, 2000

Almeida J, Azevedo A, Teixeira L
On finitely based pseudovarieties of the forms V*D and V*D-n 
J. OF PURE AND APPLIED ALGEBRA 146 (1): 1-15 FEB 7 2000 

 Christian Glaser, Heinz Schmitz
The Boolean Structure of Dot-Depth One
Proceedings of DCAGRS, London, Ontario, 2000

 70. Trahtman AN
Optimal estimation on the order of local testability of finite automata 
THEORET. COMPUT. SCI. 231 (1): 59-74 JAN 17 2000
 

J Almeida

Power semigroups. Results and problems.

Algebraic Engineering, M. Ito and C. Nehaniv (eds.), World Sci, 1999

Trahtman AN
Identities of locally testable semigroups 
COMMUNICATIONS IN ALGEBRA 27 (11): 5405-5412 1999

Mashevitzky G
On the finite basis problem for completely 0-simple semigroup identities 
SEMIGROUP FORUM 59 (2): 197-219 SEP-OCT 1999

 Trahtman AN
A polynomial time algorithm for local testability and its level 
INT. J. OF ALGEBRA AND COMPUT. 9 (1): 31-39 FEB 1999
 

Gorbunov V.A.
Algebraic Theory of Quasivarieties,
Springer, 1998
 

Trahtman AN
Precise estimation of the order of local testability of
a deterministic finite automaton 

LECTURE NOTES IN COMPUTER SCIENCE 1436: 198-212 1998
 

 Reviewer: Sheila Oates-Williams. MR1477738 (98j:20087)
Volkov, M. V.

Covers in the lattices of semigroup varieties and pseudovarieties.
Semigroups, automata and languages (Porto, 1994), 263--280, World Sci. Publ.,

River Edge, NJ, 1996. 20M07 (08B15)

 Hall, T.E. / Kublanovskii, S.I. / Margolis, S. / Sapir, M.V. / Trotter, P.G.,
Algorithmic problems for finite groups and finite 0-simple semigroups s 
Journal of Pure and Applied Algebra, 119 (1), p.75-96, Jun 1997
 

  Mashevitzky G.

On a finite basis problem for universal positive formulas

AlgebraUniversalis, 1(35), 1996

 

 60. FitzGerald, D.G.

Normal bands and their inverse semigroups of bicongruences

J. of Algebra, 185(2), 502-526, 1996

 

Volkov, M. V.

Semigroups, automata and languages

(Porto, 1994), 263-280, WorldSci. Pub. NJ, 1996

 

Jezek J, McNulty GF
The existence of finitely based lower covers for finitely
based equational theories 

JOURNAL OF SYMBOLIC LOGIC 60 (4): 1242-1250 DEC 1995

 

PIN JE

A NEGATIVE ANSWER TO A QUESTION OF WILKE ON

VARIETIES OF OMEGA-LANGUAGES

INF. PROCESSING LETTERS 56 (4): 197-200, 1995

 

R.Poschel, M. V. Sapir, N. W. Sauer, M. G. Stone and M. V. Volkov

Identities in full transformation semigroups

Algebra Universalis, 4(31), 1994

 

 Almeida J.
FINITE SEMIGROUP AND UNIVERSAL ALGEBRA

World Sci., Singapore-London-Hong Kong, 1994

 

 Trahtman AN
IDENTITIES OF A 5-ELEMENT O-SIMPLE SEMIGROUP 
SEMIGROUP FORUM 48 (3): 385-387 MAY-JUN 1994

 

  ALSHANSKII L, KUSHKULEY A

IDENTITIES OF THE NATURAL REPRESENTATION OF

THE INFINITELY  BASED SEMIGROUP

PROC. OF THE AMER. MATH. SOC. 118 (3): 931-937 JUL 1993

 

AUINGER K

The word problem for the bifree combinatorial strict regular semigroup.

Math. Proc. Of Cambridge Phil. Soc. 113, no 3, 519—533, 1993

 

Reilly Norman R
Large varieties generated by small inverse semigroups

Acta Sci. Math. (Szeged), 58(1993), 25-41


50.  MAZUROV VD
SOLVED PROBLEMS IN THE KOUROVKA NOTEBOOK 
RUSSIAN MATHEMATICAL SURVEYS 46 (5): 137-182 SEP-OCT 1991

 

SAPIR MV
ON CROSS SEMIGROUP VARIETIES AND RELATED QUESTIONS 

SEMIGROUP FORUM  42(3),  345-361,1991 

 

Mikhalev V N Salii and L A Skornyakov