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Clark, W. Edwin

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Author ID: clark.w-edwin Recent zbMATH articles by "Clark, W. Edwin"
Published as: Clark, W. Edwin; Clark, William; Clark, W. E.; Clark, William E.
Homepage: http://shell.cas.usf.edu/~wclark/
External Links: MGP
Documents Indexed: 70 Publications since 1965, including 1 Book
all top 5

Serials

5 Journal of Knot Theory and its Ramifications
4 Discrete Mathematics
4 IEEE Transactions on Information Theory
4 Congressus Numerantium
4 The Electronic Journal of Combinatorics
3 Ars Combinatoria
3 Bulletin of the Institute of Combinatorics and its Applications
2 Communications in Algebra
2 Linear and Multilinear Algebra
2 Canadian Journal of Mathematics
2 Duke Mathematical Journal
2 International Journal of Mathematics and Mathematical Sciences
2 Journal of Algebra
2 Journal of Combinatorial Theory. Series A
2 Pacific Journal of Mathematics
2 Proceedings of the American Mathematical Society
2 Semigroup Forum
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Czechoslovak Mathematical Journal
1 Journal of Combinatorics, Information & System Sciences
1 Journal of Graph Theory
1 Journal of the London Mathematical Society. Second Series
1 Journal of Number Theory
1 Osaka Journal of Mathematics
1 Publicationes Mathematicae
1 Real Analysis Exchange
1 Scientific Papers of the College of General Education
1 Studia Scientiarum Mathematicarum Hungarica
1 MCSS. Mathematics of Control, Signals, and Systems
1 Journal of Parallel and Distributed Computing
1 Finite Fields and their Applications
1 The Journal of Fourier Analysis and Applications
1 Analysis and Applications (Singapore)
1 Proceedings of the Glasgow Mathematical Association
1 Discrete and Continuous Dynamical Systems. Series S
1 Journal of Commutative Algebra
1 Mathematical Control and Related Fields

Publications by Year

Citations contained in zbMATH Open

52 Publications have been cited 407 times in 340 Documents Cited by Year
Twisted matrix units semigroup algebras. Zbl 0204.04502
Clark, W. Edwin
108
1967
The domination numbers of the 5\({\times} n\) and 6\({\times} n\) grid graphs. Zbl 0780.05030
Chang, Tony Yu; Clark, W. Edwin
29
1993
Quandle colorings of knots and applications. Zbl 1302.57016
Clark, W. Edwin; Elhamdadi, Mohamed; Saito, Masahico; Yeatman, Timothy
22
2014
An inequality related to Vizing’s conjecture. Zbl 0947.05056
Clark, W. Edwin; Suen, Stephen
20
2000
Enumeration of finite commutative chain rings. Zbl 0285.12016
Clark, W. Edwin; Liang, Joseph J.
19
1973
Finite chain rings. Zbl 0231.16007
Clark, W. Edwin; Drake, David A.
16
1972
Inequalities involving gamma and psi functions. Zbl 1042.33002
Clark, W. Edwin; Ismail, Mourad E. H.
14
2003
Remarks on the kernel of a matrix semigroup. Zbl 0135.03803
Clark, W. Edwin
13
1965
Sum-free sets in vector spaces over \(GF(2)\). Zbl 0762.05018
Clark, W. Edwin; Pedersen, John
13
1992
Domination numbers of complete grid graphs. I. Zbl 0818.05038
Chang, Tony Yu; Clark, W. Edwin; Hare, Eleanor O.
12
1994
Tight upper bounds for the domination numbers of graphs with given order and minimum degree. Zbl 0884.05057
Clark, W. Edwin; Dunning, Larry A.
9
1997
\(q\)-analogue of a binomial coefficient congruence. Zbl 0816.05009
Clark, W. Edwin
8
1995
Quandle coloring and cocycle invariants of composite knots and abelian extensions. Zbl 1359.57005
Clark, W. Edwin; Saito, Masahico; Vendramin, Leandro
8
2016
Algebraic properties of quandle extensions and values of cocycle knot invariants. Zbl 1361.57005
Clark, W. Edwin; Saito, Masahico
8
2016
Partial partitions of vector spaces arising from the construction of byte error control codes. Zbl 0766.51016
Clark, W. Edwin; Dunning, Larry A.
7
1992
Connected quandles associated with pointed abelian groups. Zbl 1279.57009
Clark, W. Edwin; Elhamdadi, Mohamed; Hou, Xiang-Dong; Saito, Masahico; Yeatman, Timothy
7
2013
Affine semigroups over an arbitrary field. Zbl 0148.01404
Clark, W. Edwin
6
1965
Cohomology of semigroups via topology - with an application to semigroup algebras. Zbl 0342.20037
Clark, W. Edwin
6
1976
Binomial and \(q\)-binomial coefficient inequalities related to the hamiltonicity of the Kneser graphs and their \(q\)-analogues. Zbl 0857.05066
Clark, W. Edwin; Ismail, Mourad E. H.
6
1996
Upper bounds for the domination number of a graph. Zbl 0951.05077
Clark, W. Edwin; Shekhtman, Boris; Suen, Stephen; Fisher, David C.
6
1998
The automorphism class group of the category of rings. Zbl 0223.18011
Clark, W. Edwin; Bergman, George M.
6
1973
A coefficient ring for finite noncommutative rings. Zbl 0232.16018
Clark, W. Edwin
6
1972
Binary set functions and parity check matrices. Zbl 0701.94011
Clark, W. E.; Dunning, L. A.; Rogers, D. G.
4
1990
Generalized radical rings. Zbl 0172.04602
Clark, W. Edwin
4
1968
Application of upper and lower bounds for the domination number to Vizing’s conjecture. Zbl 1072.05537
Clark, W. Edwin; Ismail, Mourad E. H.; Suen, Stephen
4
2003
Galkin quandles, pointed abelian groups, and sequence A000712. Zbl 1267.05030
Clark, William E.; Hou, Xiang-Dong
4
2013
Baer rings which arise from certain transitive graphs. Zbl 0173.03104
Clark, W. Edwin
3
1966
On modular weight and cyclic nonadjacent forms for arithmetic codes. Zbl 0292.94006
Clark, W. Edwin; Liang, J. J.
3
1974
Decompositions in discrete semigroups. Zbl 0930.20049
Clark, W. E.; Holland, W. C.; Székely, G. J.
3
1998
Algebras of global dimension one with a finite ideal lattice. Zbl 0173.03302
Clark, W. Edwin
2
1967
On minimal ideals in the circle composition semigroup of a ring. Zbl 0183.03803
Clark, W. Edwin; Lewin, Jacques
2
1967
On arithmetic weight for a general radix representation of integers. Zbl 0274.94019
Clark, W. Edwin; Liang, J. J.
2
1973
Equidistant cyclic codes over GF(q). Zbl 0356.94010
Clark, W. Edwin
2
1977
Matching subspaces with complements in finite vector spaces. Zbl 0829.05046
Clark, W. Edwin
2
1992
Covering by complements of subspaces. Zbl 0843.15004
Clark, W. Edwin; Shekhtman, Boris
2
1995
On the categoricity of semigroup-theoretical properties. Zbl 0239.20079
Brooks, Burrow P. jun.; Clark, W. Edwin
2
1971
Computations of quandle 2-cocycle knot invariants without explicit 2-cocycles. Zbl 1377.57007
Clark, W. Edwin; Dunning, Larry A.; Saito, Masahico
2
2017
Quandle identities and homology. Zbl 1387.57023
Clark, W. Edwin; Saito, Masahico
2
2017
Density of Gabor systems via the short time Fourier transform. Zbl 1398.42019
Ahn, Andrew; Clark, William; Nitzan, Shahaf; Sullivan, Joseph
2
2018
Equidistant binary arithmetic codes. Zbl 0591.94024
Clark, W. Edwin; Liang, Joseph J.
1
1986
Tight upper bounds for the domination numbers of graphs with given order and minimum degree. II. Zbl 0959.05086
Clark, W. Edwin; Suen, Stephen
1
2000
Weakly semi-simple finite-dimensional algebras. Zbl 0148.01803
Clark, W. Edwin
1
1966
Murase’s quasi-matrix rings and generalizations. Zbl 0169.05005
Clark, W. Edwin
1
1968
Domination numbers of \(q\)-analogues of Kneser graphs. Zbl 0870.05032
Clark, W. Edwin; Shekhtman, Boris
1
1997
Blocking sets in finite projective spaces and uneven binary codes. Zbl 0753.51005
Clark, W. Edwin
1
1991
Is topologically simple simple? Zbl 0308.22004
Clark, W. E.; Mukherjea, A.; Tserpes, N. A.
1
1975
Weak radix representation and cyclic codes over Euclidean domains. Zbl 0345.94021
Clark, W. Edwin; Liang, J. J.
1
1976
Covering by complements of subspaces. II. Zbl 0861.15001
Clark, W. Edwin; Shekhtman, Boris
1
1997
An application of spanning trees to \(k\)-point separating families of functions. Zbl 0922.05020
Clark, W. Edwin; McColm, Gregory L.; Shekhtman, Boris
1
1998
Longitudinal mapping knot invariant for SU(2). Zbl 1401.57009
Clark, W. Edwin; Saito, Masahico
1
2018
A Poincaré-Bendixson theorem for hybrid dynamical systems on directed graphs. Zbl 1436.37054
Clark, William; Bloch, Anthony
1
2020
A Poincaré-Bendixson theorem for hybrid systems. Zbl 1442.34072
Clark, William; Bloch, Anthony; Colombo, Leonardo
1
2020
A Poincaré-Bendixson theorem for hybrid dynamical systems on directed graphs. Zbl 1436.37054
Clark, William; Bloch, Anthony
1
2020
A Poincaré-Bendixson theorem for hybrid systems. Zbl 1442.34072
Clark, William; Bloch, Anthony; Colombo, Leonardo
1
2020
Density of Gabor systems via the short time Fourier transform. Zbl 1398.42019
Ahn, Andrew; Clark, William; Nitzan, Shahaf; Sullivan, Joseph
2
2018
Longitudinal mapping knot invariant for SU(2). Zbl 1401.57009
Clark, W. Edwin; Saito, Masahico
1
2018
Computations of quandle 2-cocycle knot invariants without explicit 2-cocycles. Zbl 1377.57007
Clark, W. Edwin; Dunning, Larry A.; Saito, Masahico
2
2017
Quandle identities and homology. Zbl 1387.57023
Clark, W. Edwin; Saito, Masahico
2
2017
Quandle coloring and cocycle invariants of composite knots and abelian extensions. Zbl 1359.57005
Clark, W. Edwin; Saito, Masahico; Vendramin, Leandro
8
2016
Algebraic properties of quandle extensions and values of cocycle knot invariants. Zbl 1361.57005
Clark, W. Edwin; Saito, Masahico
8
2016
Quandle colorings of knots and applications. Zbl 1302.57016
Clark, W. Edwin; Elhamdadi, Mohamed; Saito, Masahico; Yeatman, Timothy
22
2014
Connected quandles associated with pointed abelian groups. Zbl 1279.57009
Clark, W. Edwin; Elhamdadi, Mohamed; Hou, Xiang-Dong; Saito, Masahico; Yeatman, Timothy
7
2013
Galkin quandles, pointed abelian groups, and sequence A000712. Zbl 1267.05030
Clark, William E.; Hou, Xiang-Dong
4
2013
Inequalities involving gamma and psi functions. Zbl 1042.33002
Clark, W. Edwin; Ismail, Mourad E. H.
14
2003
Application of upper and lower bounds for the domination number to Vizing’s conjecture. Zbl 1072.05537
Clark, W. Edwin; Ismail, Mourad E. H.; Suen, Stephen
4
2003
An inequality related to Vizing’s conjecture. Zbl 0947.05056
Clark, W. Edwin; Suen, Stephen
20
2000
Tight upper bounds for the domination numbers of graphs with given order and minimum degree. II. Zbl 0959.05086
Clark, W. Edwin; Suen, Stephen
1
2000
Upper bounds for the domination number of a graph. Zbl 0951.05077
Clark, W. Edwin; Shekhtman, Boris; Suen, Stephen; Fisher, David C.
6
1998
Decompositions in discrete semigroups. Zbl 0930.20049
Clark, W. E.; Holland, W. C.; Székely, G. J.
3
1998
An application of spanning trees to \(k\)-point separating families of functions. Zbl 0922.05020
Clark, W. Edwin; McColm, Gregory L.; Shekhtman, Boris
1
1998
Tight upper bounds for the domination numbers of graphs with given order and minimum degree. Zbl 0884.05057
Clark, W. Edwin; Dunning, Larry A.
9
1997
Domination numbers of \(q\)-analogues of Kneser graphs. Zbl 0870.05032
Clark, W. Edwin; Shekhtman, Boris
1
1997
Covering by complements of subspaces. II. Zbl 0861.15001
Clark, W. Edwin; Shekhtman, Boris
1
1997
Binomial and \(q\)-binomial coefficient inequalities related to the hamiltonicity of the Kneser graphs and their \(q\)-analogues. Zbl 0857.05066
Clark, W. Edwin; Ismail, Mourad E. H.
6
1996
\(q\)-analogue of a binomial coefficient congruence. Zbl 0816.05009
Clark, W. Edwin
8
1995
Covering by complements of subspaces. Zbl 0843.15004
Clark, W. Edwin; Shekhtman, Boris
2
1995
Domination numbers of complete grid graphs. I. Zbl 0818.05038
Chang, Tony Yu; Clark, W. Edwin; Hare, Eleanor O.
12
1994
The domination numbers of the 5\({\times} n\) and 6\({\times} n\) grid graphs. Zbl 0780.05030
Chang, Tony Yu; Clark, W. Edwin
29
1993
Sum-free sets in vector spaces over \(GF(2)\). Zbl 0762.05018
Clark, W. Edwin; Pedersen, John
13
1992
Partial partitions of vector spaces arising from the construction of byte error control codes. Zbl 0766.51016
Clark, W. Edwin; Dunning, Larry A.
7
1992
Matching subspaces with complements in finite vector spaces. Zbl 0829.05046
Clark, W. Edwin
2
1992
Blocking sets in finite projective spaces and uneven binary codes. Zbl 0753.51005
Clark, W. Edwin
1
1991
Binary set functions and parity check matrices. Zbl 0701.94011
Clark, W. E.; Dunning, L. A.; Rogers, D. G.
4
1990
Equidistant binary arithmetic codes. Zbl 0591.94024
Clark, W. Edwin; Liang, Joseph J.
1
1986
Equidistant cyclic codes over GF(q). Zbl 0356.94010
Clark, W. Edwin
2
1977
Cohomology of semigroups via topology - with an application to semigroup algebras. Zbl 0342.20037
Clark, W. Edwin
6
1976
Weak radix representation and cyclic codes over Euclidean domains. Zbl 0345.94021
Clark, W. Edwin; Liang, J. J.
1
1976
Is topologically simple simple? Zbl 0308.22004
Clark, W. E.; Mukherjea, A.; Tserpes, N. A.
1
1975
On modular weight and cyclic nonadjacent forms for arithmetic codes. Zbl 0292.94006
Clark, W. Edwin; Liang, J. J.
3
1974
Enumeration of finite commutative chain rings. Zbl 0285.12016
Clark, W. Edwin; Liang, Joseph J.
19
1973
The automorphism class group of the category of rings. Zbl 0223.18011
Clark, W. Edwin; Bergman, George M.
6
1973
On arithmetic weight for a general radix representation of integers. Zbl 0274.94019
Clark, W. Edwin; Liang, J. J.
2
1973
Finite chain rings. Zbl 0231.16007
Clark, W. Edwin; Drake, David A.
16
1972
A coefficient ring for finite noncommutative rings. Zbl 0232.16018
Clark, W. Edwin
6
1972
On the categoricity of semigroup-theoretical properties. Zbl 0239.20079
Brooks, Burrow P. jun.; Clark, W. Edwin
2
1971
Generalized radical rings. Zbl 0172.04602
Clark, W. Edwin
4
1968
Murase’s quasi-matrix rings and generalizations. Zbl 0169.05005
Clark, W. Edwin
1
1968
Twisted matrix units semigroup algebras. Zbl 0204.04502
Clark, W. Edwin
108
1967
Algebras of global dimension one with a finite ideal lattice. Zbl 0173.03302
Clark, W. Edwin
2
1967
On minimal ideals in the circle composition semigroup of a ring. Zbl 0183.03803
Clark, W. Edwin; Lewin, Jacques
2
1967
Baer rings which arise from certain transitive graphs. Zbl 0173.03104
Clark, W. Edwin
3
1966
Weakly semi-simple finite-dimensional algebras. Zbl 0148.01803
Clark, W. Edwin
1
1966
Remarks on the kernel of a matrix semigroup. Zbl 0135.03803
Clark, W. Edwin
13
1965
Affine semigroups over an arbitrary field. Zbl 0148.01404
Clark, W. Edwin
6
1965
all top 5

Cited by 405 Authors

29 Moussavi, Ahmad
24 Birkenmeier, Gary Francis
19 Park, Jae Keol
16 Rizvi, Syed Tariq
15 Clark, W. Edwin
9 Paykan, Kamal
7 Kim, Jin Yong
7 Lee, Gangyong
7 Mukherjea, Arunava
7 Sissokho, Papa Amar
6 Brešar, Boštjan
6 Habibi, Mohammad Hassan
6 Henning, Michael Anthony
6 Kwak, Tai Keun
6 Nasr-Isfahani, Alireza R.
6 Saito, Masahico
5 Bardakov, Valeriĭ Georgievich
5 Chu, Yuming
5 Hou, Xiang-Dong
5 Klavžar, Sandi
5 Lee, Yang
5 Majidinya, Ali
5 Rall, Douglas F.
4 Alkhamees, Yousef
4 Alzer, Horst
4 Bonatto, Marco
4 El-Zanati, Saad I. El-Zanati
4 Elhamdadi, Mohamed
4 Hashemi, Ebrahim
4 Landzhev, Ivan Nikolov
4 Lev, Vsevolod F.
4 Liu, Zhong-kui
4 Nasybullov, Timur Rinatovich
4 Putcha, Mohan S.
4 Roman, Cosmin S.
4 Seelinger, George F.
4 Spence, Lawrence E.
4 Stanovský, David
3 Alhevaz, Abdollah
3 D’Ambrosia, Barbara K.
3 Dana, P. Amirzadeh
3 Gravier, Sylvain
3 Harris, Pamela E.
3 Hirano, Yasuyuki
3 Liu, Juan
3 Meng, Jixiang
3 Singh, Mahender
3 Vanden Eynden, Charles L.
3 Zhang, Xindong
3 Zhao, Tiehong
2 Adhikari, Avishek
2 Ahmadi, Morteza
2 Anabanti, Chimere Stanley
2 Anderson, Frank W.
2 Berg, Christian
2 Bermudo, Sergio
2 Bujtás, Csilla
2 Chen, Xing
2 Chen, Ya-Chen
2 Cheng, Zhiyun
2 Churchill, Indu R. U.
2 De Salvo, Mario
2 Dorbec, Paul
2 Dougherty, Steven T.
2 Freni, Domenico
2 Georgieva, Nevyana
2 Guo, Victor J. W.
2 Han, Juncheol
2 Hartnell, Bert L.
2 Heden, Olof
2 Hognas, Goran
2 Hong, Chan Yong
2 Honold, Thomas
2 Hou, Xinmin
2 Hu, Fu-Tao
2 Insko, Erik
2 Johnson, Katie
2 Kara, Yeliz
2 Khalilnezhad, Khadijeh
2 Khatirinejad, Mahdad
2 Kim, Nam Kyun
2 Korbelář, Miroslav
2 Lebed, Victoria
2 Lisoněk, Petr
2 Lo Faro, Giovanni
2 Mollard, Michel
2 Nandi, Mrinal
2 Năstase, Esmeralda L.
2 Parui, Subrata
2 Reyes, Armando
2 Škrekovski, Riste
2 Tercan, Adnan
2 van Wyk, Leon
2 Vojtěchovský, Petr
2 Xing, Huaming
2 Yang, Zhenhang
2 Žerovnik, Janez
2 Zmazek, Blaž
1 Addis, Gezahagne Mulat
1 Aharoni, Ron
...and 305 more Authors
all top 5

Cited in 104 Serials

48 Communications in Algebra
19 Discrete Mathematics
17 Journal of Algebra
16 Discrete Applied Mathematics
16 Journal of Algebra and its Applications
11 Journal of Knot Theory and its Ramifications
10 Designs, Codes and Cryptography
8 Journal of Pure and Applied Algebra
8 Semigroup Forum
7 Graphs and Combinatorics
6 Linear Algebra and its Applications
6 Applicable Algebra in Engineering, Communication and Computing
5 Journal of Mathematical Analysis and Applications
5 Algebra Colloquium
5 Journal of Combinatorial Optimization
4 Journal of Number Theory
4 Monatshefte für Mathematik
4 Transactions of the American Mathematical Society
4 Finite Fields and their Applications
3 Information Processing Letters
3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3 Glasgow Mathematical Journal
3 Journal of Combinatorial Theory. Series A
3 Journal of Soviet Mathematics
3 Proceedings of the American Mathematical Society
3 Discussiones Mathematicae. Graph Theory
3 The Ramanujan Journal
3 Journal of Inequalities and Applications
3 Asian-European Journal of Mathematics
3 Journal of Algebraic Systems
2 Linear and Multilinear Algebra
2 Applied Mathematics and Computation
2 Archiv der Mathematik
2 International Journal of Mathematics and Mathematical Sciences
2 Journal of Combinatorial Theory. Series B
2 Journal of Graph Theory
2 Journal of the Mathematical Society of Japan
2 Kyungpook Mathematical Journal
2 Mathematische Zeitschrift
2 Quaestiones Mathematicae
2 Topology and its Applications
2 European Journal of Combinatorics
2 Probability Theory and Related Fields
2 Taiwanese Journal of Mathematics
2 Acta Mathematica Sinica. English Series
2 Analysis and Applications (Singapore)
2 International Journal of Number Theory
1 Acta Mathematica Academiae Scientiarum Hungaricae
1 Bulletin of the Australian Mathematical Society
1 Israel Journal of Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Periodica Mathematica Hungarica
1 Problems of Information Transmission
1 Ukrainian Mathematical Journal
1 Acta Mathematica Vietnamica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Canadian Journal of Mathematics
1 Compositio Mathematica
1 Czechoslovak Mathematical Journal
1 Journal of Approximation Theory
1 Mathematica Slovaca
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Advances in Applied Mathematics
1 Bulletin of the Korean Mathematical Society
1 Statistics & Probability Letters
1 Acta Mathematica Hungarica
1 Discrete & Computational Geometry
1 Applied Mathematics Letters
1 Godishnik na Sofiĭskiya Universitet “Sv. Kliment Okhridski”. Fakultet po Matematika i Informatika
1 Expositiones Mathematicae
1 Indagationes Mathematicae. New Series
1 Computational and Applied Mathematics
1 Advances in Applied Clifford Algebras
1 The Electronic Journal of Combinatorics
1 Journal of Combinatorial Designs
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Abstract and Applied Analysis
1 Mathematical Physics, Analysis and Geometry
1 Algebras and Representation Theory
1 LMS Journal of Computation and Mathematics
1 Algebraic & Geometric Topology
1 Journal of the Australian Mathematical Society
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Journal of Applied Mathematics and Computing
1 Journal of Multiple-Valued Logic and Soft Computing
1 Mediterranean Journal of Mathematics
1 Discrete Optimization
1 Proceedings of the Japan Academy
1 Chebyshevskiĭ Sbornik
1 Frontiers of Mathematics in China
1 Optimization Letters
1 São Paulo Journal of Mathematical Sciences
1 Acta Universitatis Sapientiae. Mathematica
1 International Journal of Combinatorics
1 Science China. Mathematics
1 Afrika Matematika
1 Chamchuri Journal of Mathematics
1 Transactions on Combinatorics
1 Journal of Mathematics
1 Journal of Applied Mathematics, Statistics and Informatics
...and 4 more Serials

Citations by Year