William J. Martin

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All published works

Action	Title	Year	Authors
+ PDF Chat	Continuous time quantum walks on graphs: Group state transfer	2023	Luke C. Brown William J. Martin Duncan Wright
+ PDF Chat	Triple intersection numbers for the Paley graphs	2022	Andries E. Brouwer William J. Martin
+ PDF Chat	Scaffolds: A graph-theoretic tool for tensor computations related to Bose-Mesner algebras	2021	William J. Martin
+	Continuous Time Quantum Walks on Graphs: Group State Transfer	2021	Luke C. Brown William J. Martin Duncan Wright
+ PDF Chat	Some bounds arising from a polynomial ideal associated to any $t$-design	2020	William J. Martin Douglas R. Stinson
+	Scaffolds: a graph-based system for computations in Bose-Mesner algebras	2020	William J. Martin
+	Maestro: A Python library for multi-carrier energy district optimal control design	2019	Tomasz T. Gorecki William J. Martin
+	A polynomial ideal associated to any $t$-$(v,k,\lambda)$ design	2018	William J. Martin Douglas R. Stinson
+	On the Connectivity of Graphs in Association Schemes	2017	Brian G. Kodalen William J. Martin
+	On the connectivity of graphs in association schemes	2017	Brian G. Kodalen William J. Martin
+	On an early paper of Maryam Mirzakhani	2017	William J. Martin
+ PDF Chat	Arithmetic completely regular codes	2016	Jack H. Koolen Woo Sun Lee William J. Martin Hajime Tanaka
+	Some Nonexistence Results for Strong External Difference Families Using Character Theory	2016	William J. Martin Douglas R. Stinson
+ PDF Chat	On the ideal of the shortest vectors in the Leech lattice and other lattices	2014	William J. Martin Corre L. Steele
+	Linking systems in nonelementary abelian groups	2013	James A. Davis William J. Martin John Polhill
+	On the ideal of the shortest vectors in the Leech lattice and other lattices	2013	William J. Martin Corre L. Steele
+	Uniformity in association schemes and coherent configurations: Cometric Q-antipodal schemes and linked systems	2013	Edwin van Dam William J. Martin Mikhail Muzychuk
+ PDF Chat	On the equivalence between real mutually unbiased bases and a certain class of association schemes	2010	Nicholas LeCompte William J. Martin William A. Owens
+	Characterizing completely regular codes from an algebraic viewpoint	2010	Jack H. Koolen W. S. Lee William J. Martin
+ PDF Chat	Uniformity in Association Schemes and Coherent Configurations: Cometric Q-Antipodal Schemes and Linked Systems	2010	Edwin van Dam William J. Martin Mikhail Muzychuk
+	Uniformity in association schemes and coherent configurations: Cometric Q-antipodal schemes and linked systems	2010	Edwin van Dam William J. Martin Mikhail Muzychuk
+	Arithmetic completely regular codes	2009	Jack H. Koolen W. S. Lee William J. Martin Hajime Tanaka
+ PDF Chat	Commutative association schemes	2009	William J. Martin Hajime Tanaka
+	Characterizing completely regular codes from an algebraic viewpoint	2009	Jack H. Koolen W. S. Lee William J. Martin
+ PDF Chat	There are finitely many <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>Q</mml:mi></mml:math>-polynomial association schemes with given first multiplicity at least three	2008	William J. Martin Jason Williford
+ PDF Chat	Imprimitive cometric association schemes: Constructions and analysis	2007	William J. Martin Mikhail Muzychuk Jason Williford
+	A Dual Plotkin Bound for -Nets	2007	William J. Martin Terry I. Visentin
+	Representations of directed strongly regular graphs	2006	Chris Godsil Sylvia A. Hobart William J. Martin
+ PDF Chat	A NEW NOTION OF TRANSITIVITY FOR GROUPS AND SETS OF PERMUTATIONS	2006	William J. Martin Bruce E. Sagan
+	Width and dual width of subsets in polynomial association schemes	2003	A.E. Brouwer Chris Godsil Jack H. Koolen William J. Martin
+	A new notion of transitivity for groups and sets of permutations	2002	William J. Martin Bruce E. Sagan
+	None	2000	William J. Martin
+	Linear Programming Bounds for Ordered Orthogonal Arrays and (T, M, S)-nets	2000	William J. Martin
+ PDF Chat	Association Schemes for Ordered Orthogonal Arrays and (<i>T, M, S</i>)-Nets	1999	William J. Martin Douglas R. Stinson
+	None	1999	William J. Martin
+	Completely regular designs	1998	William J. Martin
+	Anticodes for the Grassman and bilinear forms graphs	1995	William J. Martin Xiaojun Zhu
+	Quotients of association schemes	1995	Chris Godsil William J. Martin
+ PDF Chat	None	1994	William J. Martin

Common Coauthors

Coauthor	Papers Together
Jack H. Koolen	5
Mikhail Muzychuk	4
Douglas R. Stinson	4
W. S. Lee	3
Chris Godsil	3
Hajime Tanaka	3
Edwin van Dam	3
Bruce E. Sagan	2
Corre L. Steele	2
Jason Williford	2
Brian G. Kodalen	2
Duncan Wright	2
Luke C. Brown	2
William A. Owens	1
Terry I. Visentin	1
Nicholas LeCompte	1
Tomasz T. Gorecki	1
John Polhill	1
Xiaojun Zhu	1
James A. Davis	1
Woo Sun Lee	1
Andries E. Brouwer	1
A.E. Brouwer	1
Sylvia A. Hobart	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Distance-Regular Graphs	2011	Andries E. Brouwer Willem H. Haemers	21
+	Distance-Regular Graphs	1989	Andries E. Brouwer Arjeh M. Cohen Arnold Neumaier	15
+ PDF Chat	None	1998	Hiroshi Suzuki	9
+	The Krein condition, spherical designs, Norton algebras and permutation groups	1978	Peter J‎. Cameron J.-M. Goethals J.J. Seidel	8
+ PDF Chat	None	1992	Paul Terwilliger	8
+ PDF Chat	None	1998	Hiroshi Suzuki	7
+ PDF Chat	Imprimitive cometric association schemes: Constructions and analysis	2007	William J. Martin Mikhail Muzychuk Jason Williford	7
+	Spherical codes and designs	1977	P. Delsarte J.-M. Goethals J.J. Seidel	6
+	Quadratic forms over GF(2)	1973	Peter J‎. Cameron J.J. Seidel	6
+ PDF Chat	On the equivalence between real mutually unbiased bases and a certain class of association schemes	2010	Nicholas LeCompte William J. Martin William A. Owens	6
+	Width and dual width of subsets in polynomial association schemes	2003	A.E. Brouwer Chris Godsil Jack H. Koolen William J. Martin	5
+ PDF Chat	Commutative association schemes	2009	William J. Martin Hajime Tanaka	5
+	The Symmetric Group as a Polynomial Space	1993	Marston Conder Chris Godsil	5
+ PDF Chat	None	1999	Edwin van Dam	5
+	Completely regular codes	1992	Arnold Neumaier	5
+	Non-existence of imprimitive <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>Q</mml:mi></mml:math>-polynomial schemes of exceptional type with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" display="inline" overflow="scroll"><mml:mi>d</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:math>	2008	Diana R. Cerzo Hiroshi Suzuki	5
+	Two linear transformations each tridiagonal with respect to an eigenbasis of the other	2001	Paul Terwilliger	4
+	Hahn Polynomials, Discrete Harmonics, and<i>t</i>-Designs	1978	P. Delsarte	4
+	Point sets and sequences with small discrepancy	1987	Harald Niederreiter	4
+ PDF Chat	None	1994	William J. Martin	4
+	A characterization of P- and Q-polynomial association schemes	1987	Paul Terwilliger	4
+	Association schemes related to universally optimal configurations, Kerdock codes and extremal Euclidean line-sets	2008	Kanat Abdukhalikov Eiichi Bannaĭ Sho Suda	4
+	On groups with several doubly-transitive permutation representations	1972	Peter J‎. Cameron	4
+	Orthogonal Polynomials, Duality and Association Schemes	1982	Douglas A. Leonard	4
+ PDF Chat	Using equality in the Krein conditions to prove nonexistence of certain distance-regular graphs	2008	Kris Coolsaet Aleksandar Jurišić	3
+ PDF Chat	Two Linear Transformations each Tridiagonal with Respect to an Eigenbasis of the other; Comments on the Parameter Array	2005	Paul Terwilliger	3
+	None	2000	William J. Martin	3
+	Strongly regular designs of the second kind	1995	D. G. Higman	3
+	Algebraic Curves: An Introduction to Algebraic Geometry	1969	William Fulton Richard M. Weiss	3
+ PDF Chat	Association Schemes for Ordered Orthogonal Arrays and (<i>T, M, S</i>)-Nets	1999	William J. Martin Douglas R. Stinson	3
+ PDF Chat	Coherent algebras	1987	D. G. Higman	3
+	On the Construction of Cubature Formulae with Few Nodes Using Groebner Bases	1987	H. Michael Möller	3
+ PDF Chat	There are finitely many <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>Q</mml:mi></mml:math>-polynomial association schemes with given first multiplicity at least three	2008	William J. Martin Jason Williford	3
+	Abstract Algebra, 3rd ed	1996	I. N. Herstein	3
+	A survey on spherical designs and algebraic combinatorics on spheres	2009	Eiichi Bannaĭ Etsuko Bannai	3
+	Characterizing completely regular codes from an algebraic viewpoint	2010	Jack H. Koolen W. S. Lee William J. Martin	2
+	Monotonicity and unimodality of the pattern inventory	1980	Dennis E. White	2
+	On primitive symmetric association schemes with m_1=3	2006	Eiichi Bannaĭ Etsuko Bannai	2
+	Strongly regular graphs having strongly regular subconstituents	1978	Peter J‎. Cameron J.-M. Goethals J.J. Seidel	2
+	Partitioning strongly regular graphs	1985	Ryuzaburo Noda	2
+	Finite projective spaces of three dimensions	1986	J. W. P. Hirschfeld	2
+	Characterization of H(n, q) by the parameters	1981	Yoshimi Egawa	2
+	Three New Distance-regular Graphs	1993	Leonard H. Soicher	2
+	Generosity and Characters of Multiply Transitive Permutation Groups	1975	Peter Neumann	2
+ PDF Chat	The Terwilliger Algebra Associated with a Set of Vertices in a Distance-Regular Graph	2005	Hiroshi Suzuki	2
+	Tight 2-designs and perfect 1-codes in Doob graphs	2000	Jack H. Koolen Akihiro Munemasa	2
+	Two theorems concerning the Bannai–Ito conjecture	2006	Sejeong Bang Jack H. Koolen Vincent Moulton	2
+	CRC Handbook of Combinatorial Designs	1996	Charles J. Colbourn Jeffrey H. Dinitz	2
+	Tight distance-regular graphs with respect to subsets	2005	Rie Hosoya Hiroshi Suzuki	2
+	Distance-regular graphs	2014	Edwin van Dam Jack H. Koolen Hajime Tanaka	2