## Clark, W. Edwin

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 Author ID: clark.w-edwin Published as: Clark, W. Edwin; Clark, W. E.; Clark, William E. more...less Homepage: http://shell.cas.usf.edu/~wclark/ External Links: MGP
 Documents Indexed: 69 Publications since 1965 1 Contribution as Editor Co-Authors: 29 Co-Authors with 47 Joint Publications 544 Co-Co-Authors
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### Co-Authors

 18 single-authored 8 Saito, Masahico 8 Shekhtman, Boris 6 Liang, Joseph J. 5 Dunning, Larry A. 5 Suen, Stephen 3 Bloch, Anthony Michael 3 Hou, Xiang-Dong 3 Ismail, Mourad El-Houssieny 2 Chang, Tony Yu 2 Colombo, Leonardo Jesus 2 Elhamdadi, Mohamed 2 McColm, Gregory L. 2 Mukherjea, Arunava 2 Rogers, Douglas G. 2 Yeatman, Timothy 1 Ahn, Andrew 1 Bergman, George M. 1 Brooks, Burrow P. jun. 1 Dial, Gur 1 Drake, David A. 1 Fisher, David C. 1 Golinski, Jan 1 Hare, Eleanor O’M. 1 Holland, Wilbur Charles jun. 1 Lewin, Jacques 1 Lewis, Larry W. 1 McKinley, Tom 1 Mihailovs, Alec 1 Nitzan, Shahaf 1 Pedersen, John 1 Rooney, Patrick 1 Schaffer, Simon 1 Stark, William Richard 1 Székely, Gábor J. 1 Tserpes, Nicolas A. 1 Vendramin, Leandro
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### 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
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### Fields

 20 Combinatorics (05-XX) 14 Information and communication theory, circuits (94-XX) 9 Manifolds and cell complexes (57-XX) 6 Number theory (11-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Group theory and generalizations (20-XX) 5 Geometry (51-XX) 4 Associative rings and algebras (16-XX) 2 Commutative algebra (13-XX) 2 Topological groups, Lie groups (22-XX) 2 Ordinary differential equations (34-XX) 2 Approximations and expansions (41-XX) 2 Differential geometry (53-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX)

### Citations contained in zbMATH Open

52 Publications have been cited 432 times in 362 Documents Cited by Year
Twisted matrix units semigroup algebras. Zbl 0204.04502
Clark, W. Edwin
1967
The domination numbers of the 5$${\times} n$$ and 6$${\times} n$$ grid graphs. Zbl 0780.05030
Chang, Tony Yu; Clark, W. Edwin
1993
An inequality related to Vizing’s conjecture. Zbl 0947.05056
Clark, W. Edwin; Suen, Stephen
2000
Quandle colorings of knots and applications. Zbl 1302.57016
Clark, W. Edwin; Elhamdadi, Mohamed; Saito, Masahico; Yeatman, Timothy
2014
Enumeration of finite commutative chain rings. Zbl 0285.12016
Clark, W. Edwin; Liang, Joseph J.
1973
Finite chain rings. Zbl 0231.16007
Clark, W. Edwin; Drake, David A.
1972
Sum-free sets in vector spaces over $$GF(2)$$. Zbl 0762.05018
Clark, W. Edwin; Pedersen, John
1992
Inequalities involving gamma and psi functions. Zbl 1042.33002
Clark, W. Edwin; Ismail, Mourad E. H.
2003
Remarks on the kernel of a matrix semigroup. Zbl 0135.03803
Clark, W. Edwin
1965
Domination numbers of complete grid graphs. I. Zbl 0818.05038
Chang, Tony Yu; Clark, W. Edwin; Hare, Eleanor O.
1994
Algebraic properties of quandle extensions and values of cocycle knot invariants. Zbl 1361.57005
Clark, W. Edwin; Saito, Masahico
2016
$$q$$-analogue of a binomial coefficient congruence. Zbl 0816.05009
Clark, W. Edwin
1995
Connected quandles associated with pointed abelian groups. Zbl 1279.57009
Clark, W. Edwin; Elhamdadi, Mohamed; Hou, Xiang-Dong; Saito, Masahico; Yeatman, Timothy
2013
Tight upper bounds for the domination numbers of graphs with given order and minimum degree. Zbl 0884.05057
Clark, W. Edwin; Dunning, Larry A.
1997
Quandle coloring and cocycle invariants of composite knots and abelian extensions. Zbl 1359.57005
Clark, W. Edwin; Saito, Masahico; Vendramin, Leandro
2016
Partial partitions of vector spaces arising from the construction of byte error control codes. Zbl 0766.51016
Clark, W. Edwin; Dunning, Larry A.
1992
Upper bounds for the domination number of a graph. Zbl 0951.05077
Clark, W. Edwin; Shekhtman, Boris; Suen, Stephen; Fisher, David C.
1998
Affine semigroups over an arbitrary field. Zbl 0148.01404
Clark, W. Edwin
1965
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.
1996
Cohomology of semigroups via topology - with an application to semigroup algebras. Zbl 0342.20037
Clark, W. Edwin
1976
The automorphism class group of the category of rings. Zbl 0223.18011
Clark, W. Edwin; Bergman, George M.
1973
A coefficient ring for finite noncommutative rings. Zbl 0232.16018
Clark, W. Edwin
1972
Galkin quandles, pointed abelian groups, and sequence A000712. Zbl 1267.05030
Clark, William E.; Hou, Xiang-Dong
2013
Binary set functions and parity check matrices. Zbl 0701.94011
Clark, W. E.; Dunning, L. A.; Rogers, D. G.
1990
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
2003
Baer rings which arise from certain transitive graphs. Zbl 0173.03104
Clark, W. Edwin
1966
Clark, W. Edwin
1968
Decompositions in discrete semigroups. Zbl 0930.20049
Clark, W. E.; Holland, W. C.; Székely, G. J.
1998
Matching subspaces with complements in finite vector spaces. Zbl 0829.05046
Clark, W. Edwin
1992
Equidistant cyclic codes over GF(q). Zbl 0356.94010
Clark, W. Edwin
1977
On modular weight and cyclic nonadjacent forms for arithmetic codes. Zbl 0292.94006
Clark, W. Edwin; Liang, J. J.
1974
Covering by complements of subspaces. Zbl 0843.15004
Clark, W. Edwin; Shekhtman, Boris
1995
On the categoricity of semigroup-theoretical properties. Zbl 0239.20079
Brooks, Burrow P. jun.; Clark, W. Edwin
1971
On arithmetic weight for a general radix representation of integers. Zbl 0274.94019
Clark, W. Edwin; Liang, J. J.
1973
Computations of quandle 2-cocycle knot invariants without explicit 2-cocycles. Zbl 1377.57007
Clark, W. Edwin; Dunning, Larry A.; Saito, Masahico
2017
Algebras of global dimension one with a finite ideal lattice. Zbl 0173.03302
Clark, W. Edwin
1967
On minimal ideals in the circle composition semigroup of a ring. Zbl 0183.03803
Clark, W. Edwin; Lewin, Jacques
1967
Density of Gabor systems via the short time Fourier transform. Zbl 1398.42019
Ahn, Andrew; Clark, William; Nitzan, Shahaf; Sullivan, Joseph
2018
Quandle identities and homology. Zbl 1387.57023
Clark, W. Edwin; Saito, Masahico
2017
Weakly semi-simple finite-dimensional algebras. Zbl 0148.01803
Clark, W. Edwin
1966
Blocking sets in finite projective spaces and uneven binary codes. Zbl 0753.51005
Clark, W. Edwin
1991
Covering by complements of subspaces. II. Zbl 0861.15001
Clark, W. Edwin; Shekhtman, Boris
1997
Equidistant binary arithmetic codes. Zbl 0591.94024
Clark, W. Edwin; Liang, Joseph J.
1986
Domination numbers of $$q$$-analogues of Kneser graphs. Zbl 0870.05032
Clark, W. Edwin; Shekhtman, Boris
1997
An application of spanning trees to $$k$$-point separating families of functions. Zbl 0922.05020
Clark, W. Edwin; McColm, Gregory L.; Shekhtman, Boris
1998
Tight upper bounds for the domination numbers of graphs with given order and minimum degree. II. Zbl 0959.05086
Clark, W. Edwin; Suen, Stephen
2000
Is topologically simple simple? Zbl 0308.22004
Clark, W. E.; Mukherjea, A.; Tserpes, N. A.
1975
Weak radix representation and cyclic codes over Euclidean domains. Zbl 0345.94021
Clark, W. Edwin; Liang, J. J.
1976
A Poincaré-Bendixson theorem for hybrid dynamical systems on directed graphs. Zbl 1436.37054
Clark, William; Bloch, Anthony
2020
Murase’s quasi-matrix rings and generalizations. Zbl 0169.05005
Clark, W. Edwin
1968
A Poincaré-Bendixson theorem for hybrid systems. Zbl 1442.34072
Clark, William; Bloch, Anthony; Colombo, Leonardo
2020
Longitudinal mapping knot invariant for SU(2). Zbl 1401.57009
Clark, W. Edwin; Saito, Masahico
2018
A Poincaré-Bendixson theorem for hybrid dynamical systems on directed graphs. Zbl 1436.37054
Clark, William; Bloch, Anthony
2020
A Poincaré-Bendixson theorem for hybrid systems. Zbl 1442.34072
Clark, William; Bloch, Anthony; Colombo, Leonardo
2020
Density of Gabor systems via the short time Fourier transform. Zbl 1398.42019
Ahn, Andrew; Clark, William; Nitzan, Shahaf; Sullivan, Joseph
2018
Longitudinal mapping knot invariant for SU(2). Zbl 1401.57009
Clark, W. Edwin; Saito, Masahico
2018
Computations of quandle 2-cocycle knot invariants without explicit 2-cocycles. Zbl 1377.57007
Clark, W. Edwin; Dunning, Larry A.; Saito, Masahico
2017
Quandle identities and homology. Zbl 1387.57023
Clark, W. Edwin; Saito, Masahico
2017
Algebraic properties of quandle extensions and values of cocycle knot invariants. Zbl 1361.57005
Clark, W. Edwin; Saito, Masahico
2016
Quandle coloring and cocycle invariants of composite knots and abelian extensions. Zbl 1359.57005
Clark, W. Edwin; Saito, Masahico; Vendramin, Leandro
2016
Quandle colorings of knots and applications. Zbl 1302.57016
Clark, W. Edwin; Elhamdadi, Mohamed; Saito, Masahico; Yeatman, Timothy
2014
Connected quandles associated with pointed abelian groups. Zbl 1279.57009
Clark, W. Edwin; Elhamdadi, Mohamed; Hou, Xiang-Dong; Saito, Masahico; Yeatman, Timothy
2013
Galkin quandles, pointed abelian groups, and sequence A000712. Zbl 1267.05030
Clark, William E.; Hou, Xiang-Dong
2013
Inequalities involving gamma and psi functions. Zbl 1042.33002
Clark, W. Edwin; Ismail, Mourad E. H.
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
2003
An inequality related to Vizing’s conjecture. Zbl 0947.05056
Clark, W. Edwin; Suen, Stephen
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
2000
Upper bounds for the domination number of a graph. Zbl 0951.05077
Clark, W. Edwin; Shekhtman, Boris; Suen, Stephen; Fisher, David C.
1998
Decompositions in discrete semigroups. Zbl 0930.20049
Clark, W. E.; Holland, W. C.; Székely, G. J.
1998
An application of spanning trees to $$k$$-point separating families of functions. Zbl 0922.05020
Clark, W. Edwin; McColm, Gregory L.; Shekhtman, Boris
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.
1997
Covering by complements of subspaces. II. Zbl 0861.15001
Clark, W. Edwin; Shekhtman, Boris
1997
Domination numbers of $$q$$-analogues of Kneser graphs. Zbl 0870.05032
Clark, W. Edwin; Shekhtman, Boris
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.
1996
$$q$$-analogue of a binomial coefficient congruence. Zbl 0816.05009
Clark, W. Edwin
1995
Covering by complements of subspaces. Zbl 0843.15004
Clark, W. Edwin; Shekhtman, Boris
1995
Domination numbers of complete grid graphs. I. Zbl 0818.05038
Chang, Tony Yu; Clark, W. Edwin; Hare, Eleanor O.
1994
The domination numbers of the 5$${\times} n$$ and 6$${\times} n$$ grid graphs. Zbl 0780.05030
Chang, Tony Yu; Clark, W. Edwin
1993
Sum-free sets in vector spaces over $$GF(2)$$. Zbl 0762.05018
Clark, W. Edwin; Pedersen, John
1992
Partial partitions of vector spaces arising from the construction of byte error control codes. Zbl 0766.51016
Clark, W. Edwin; Dunning, Larry A.
1992
Matching subspaces with complements in finite vector spaces. Zbl 0829.05046
Clark, W. Edwin
1992
Blocking sets in finite projective spaces and uneven binary codes. Zbl 0753.51005
Clark, W. Edwin
1991
Binary set functions and parity check matrices. Zbl 0701.94011
Clark, W. E.; Dunning, L. A.; Rogers, D. G.
1990
Equidistant binary arithmetic codes. Zbl 0591.94024
Clark, W. Edwin; Liang, Joseph J.
1986
Equidistant cyclic codes over GF(q). Zbl 0356.94010
Clark, W. Edwin
1977
Cohomology of semigroups via topology - with an application to semigroup algebras. Zbl 0342.20037
Clark, W. Edwin
1976
Weak radix representation and cyclic codes over Euclidean domains. Zbl 0345.94021
Clark, W. Edwin; Liang, J. J.
1976
Is topologically simple simple? Zbl 0308.22004
Clark, W. E.; Mukherjea, A.; Tserpes, N. A.
1975
On modular weight and cyclic nonadjacent forms for arithmetic codes. Zbl 0292.94006
Clark, W. Edwin; Liang, J. J.
1974
Enumeration of finite commutative chain rings. Zbl 0285.12016
Clark, W. Edwin; Liang, Joseph J.
1973
The automorphism class group of the category of rings. Zbl 0223.18011
Clark, W. Edwin; Bergman, George M.
1973
On arithmetic weight for a general radix representation of integers. Zbl 0274.94019
Clark, W. Edwin; Liang, J. J.
1973
Finite chain rings. Zbl 0231.16007
Clark, W. Edwin; Drake, David A.
1972
A coefficient ring for finite noncommutative rings. Zbl 0232.16018
Clark, W. Edwin
1972
On the categoricity of semigroup-theoretical properties. Zbl 0239.20079
Brooks, Burrow P. jun.; Clark, W. Edwin
1971
Clark, W. Edwin
1968
Murase’s quasi-matrix rings and generalizations. Zbl 0169.05005
Clark, W. Edwin
1968
Twisted matrix units semigroup algebras. Zbl 0204.04502
Clark, W. Edwin
1967
Algebras of global dimension one with a finite ideal lattice. Zbl 0173.03302
Clark, W. Edwin
1967
On minimal ideals in the circle composition semigroup of a ring. Zbl 0183.03803
Clark, W. Edwin; Lewin, Jacques
1967
Baer rings which arise from certain transitive graphs. Zbl 0173.03104
Clark, W. Edwin
1966
Weakly semi-simple finite-dimensional algebras. Zbl 0148.01803
Clark, W. Edwin
1966
Remarks on the kernel of a matrix semigroup. Zbl 0135.03803
Clark, W. Edwin
1965
Affine semigroups over an arbitrary field. Zbl 0148.01404
Clark, W. Edwin
1965
all top 5