Gary R. W. Greaves

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All published works

Action	Title	Year	Authors
+	Bootstrapping cascaded random matrix models: Correlations in permutations of matrix products	2024	Niall Byrnes Gary R. W. Greaves Matthew R. Foreman
+ PDF Chat	Chromatic polynomials of signed graphs and dominating-vertex deletion formulae	2024	Gary R. W. Greaves Jeven Syatriadi Charissa I. Utomo
+ PDF Chat	The coherent rank of a graph with three eigenvalues	2024	Gary R. W. Greaves Jose Yip
+ PDF Chat	Bootstrapping cascaded random matrix models: correlations in permutations of matrix products	2024	Niall Byrnes Gary R. W. Greaves Matthew R. Foreman
+ PDF Chat	Constructions of $t$-designs from weighing matrices and walk-regular graphs	2024	Gary R. W. Greaves Sho Suda
+	Real equiangular lines in dimension 18 and the Jacobi identity for complementary subgraphs	2023	Gary R. W. Greaves Jeven Syatriadi
+ PDF Chat	Hermitian matrices of roots of unity and their characteristic polynomials	2023	Gary R. W. Greaves Chin Jian Woo
+	Equiangular lines in Euclidean spaces: Dimensions 17 and 18	2023	Gary R. W. Greaves Jeven Syatriadi Pavlo Yatsyna
+ PDF Chat	Signed (0,2)‐graphs with few eigenvalues and a symmetric spectrum	2022	Gary R. W. Greaves Zoran Stanić
+ PDF Chat	Frames over finite fields: Equiangular lines in orthogonal geometry	2022	Gary R. W. Greaves Joseph W. Iverson John Jasper Dustin G. Mixon
+	Real equiangular lines in dimension 18 and the Jacobi identity for complementary subgraphs	2022	Gary R. W. Greaves Jeven Syatriadi
+ PDF Chat	Frames over finite fields: Basic theory and equiangular lines in unitary geometry	2021	Gary R. W. Greaves Joseph W. Iverson John Jasper Dustin G. Mixon
+ PDF Chat	Equiangular Lines in Low Dimensional Euclidean Spaces	2021	Gary R. W. Greaves Jeven Syatriadi Pavlo Yatsyna
+	Signed $(0,2)$-graphs with few eigenvalues and a symmetric spectrum	2021	Gary R. W. Greaves Zoran Stanić
+	Augmenting the Delsarte bound: A forbidden interval for the order of maximal cliques in strongly regular graphs	2021	Gary R. W. Greaves Jack H. Koolen Jongyook Park
+	Hermitean matrices of roots of unity and their characteristic polynomials	2021	Gary R. W. Greaves Chin Jian Woo
+	Signed $(0,2)$-graphs with few eigenvalues and a symmetric spectrum	2021	Gary R. W. Greaves Zoran Stanić
+	Equiangular lines in Euclidean spaces: dimensions 17 and 18	2021	Gary R. W. Greaves Jeven Syatriadi Pavlo Yatsyna
+	Hermitian matrices of roots of unity and their characteristic polynomials	2021	Gary R. W. Greaves Chin Jian Woo
+	Frames over finite fields: Equiangular lines in orthogonal geometry	2020	Gary R. W. Greaves Joseph W. Iverson John Jasper Dustin G. Mixon
+	Frames over finite fields: Basic theory and equiangular lines in unitary geometry	2020	Gary R. W. Greaves Joseph W. Iverson John Jasper Dustin G. Mixon
+	Equiangular lines in low dimensional Euclidean spaces	2020	Gary R. W. Greaves Jeven Syatriadi Pavlo Yatsyna
+	Improving the Delsarte bound	2020	Gary R. W. Greaves Jack H. Koolen Jongyook Park
+	Frames over finite fields: Equiangular lines in orthogonal geometry	2020	Gary R. W. Greaves Joseph W. Iverson John Jasper Dustin G. Mixon
+	Frames over finite fields: Basic theory and equiangular lines in unitary geometry	2020	Gary R. W. Greaves Joseph W. Iverson John Jasper Dustin G. Mixon
+	Equiangular lines in low dimensional Euclidean spaces	2020	Gary R. W. Greaves Jeven Syatriadi Pavlo Yatsyna
+	On equiangular lines in $17$ dimensions and the characteristic polynomial of a Seidel matrix	2019	Gary R. W. Greaves Pavlo Yatsyna
+ PDF Chat	Reed–Solomon Codes Over Small Fields With Constrained Generator Matrices	2019	Gary R. W. Greaves Jeven Syatriadi
+	Interlacing families and the Hermitian spectral norm of digraphs	2018	Gary R. W. Greaves Bojan Mohar O Suil
+	Another construction of edge-regular graphs with regular cliques	2018	Gary R. W. Greaves Jack H. Koolen
+ PDF Chat	On the Clique Number of a Strongly Regular Graph	2018	Gary R. W. Greaves Leonard H. Soicher
+	Reed-Solomon codes over small fields with constrained generator matrices	2018	Gary R. W. Greaves Jeven Syatriadi
+ PDF Chat	Edge-regular graphs with regular cliques	2018	Gary R. W. Greaves Jack H. Koolen
+	On the Smith normal form of a skew-symmetric D-optimal design of order $n\equiv 2\pmod{4}$	2018	Gary R. W. Greaves Sho Suda
+	Another construction of edge-regular graphs with regular cliques	2018	Gary R. W. Greaves Jack H. Koolen
+	Reed-Solomon codes over small fields with constrained generator matrices	2018	Gary R. W. Greaves Jeven Syatriadi
+	Graphs with three eigenvalues and second largest eigenvalue at most 1	2017	Xi-Ming Cheng Gary R. W. Greaves Jack H. Koolen
+	Equiangular line systems and switching classes containing regular graphs	2017	Gary R. W. Greaves
+	Edge-regular graphs with regular cliques	2017	Gary R. W. Greaves Jack H. Koolen
+ PDF Chat	On a Lower Bound for the Laplacian Eigenvalues of a Graph	2017	Gary R. W. Greaves Akihiro Munemasa Anni Peng
+ PDF Chat	Symmetric and Skew-Symmetric {0,±1}-Matrices with Large Determinants	2017	Gary R. W. Greaves Sho Suda
+	Edge-regular graphs with regular cliques	2017	Gary R. W. Greaves Jack H. Koolen
+	Biregular graphs with three eigenvalues	2016	Xi-Ming Cheng Alexander L. Gavrilyuk Gary R. W. Greaves Jack H. Koolen
+	On the clique number of a strongly regular graph	2016	Gary R. W. Greaves Leonard H. Soicher
+	On the clique number of a strongly regular graph	2016	Gary R. W. Greaves Leonard H. Soicher
+	Equiangular lines in Euclidean spaces	2015	Gary R. W. Greaves Jack H. Koolen Akihiro Munemasa Ferenc Szöllősi
+	Edge-signed graphs with smallest eigenvalue greater than −2	2014	Gary R. W. Greaves Jack H. Koolen Akihiro Munemasa Yoshio Sano Tetsuji Taniguchi
+ PDF Chat	Small-span Hermitian matrices over quadratic integer rings	2014	Gary R. W. Greaves
+ PDF Chat	Lehmer's Conjecture for Hermitian Matrices over the Eisenstein and Gaussian Integers	2013	Graeme Taylor Gary R. W. Greaves
+	Cyclotomic matrices over the Eisenstein and Gaussian integers	2012	Gary R. W. Greaves
+	Cyclotomic matrices over real quadratic integer rings	2012	Gary R. W. Greaves
+	Lehmer's conjecture for Hermitian matrices over the Eisenstein and Gaussian integers	2012	Gary R. W. Greaves Graeme Taylor
+	Lehmer's conjecture for Hermitian matrices over the Eisenstein and Gaussian integers	2012	Gary R. W. Greaves Graeme Taylor
+	An Application of a Theorem of Barban, Davenport and Halberstam	1974	Gary R. W. Greaves

Common Coauthors

Coauthor	Papers Together
Jeven Syatriadi	11
Jack H. Koolen	11
Pavlo Yatsyna	6
Joseph W. Iverson	6
Dustin G. Mixon	6
John Jasper	5
Zoran Stanić	3
Akihiro Munemasa	3
Sho Suda	3
Chin Jian Woo	3
Leonard H. Soicher	3
Graeme Taylor	2
Matthew R. Foreman	2
Niall Byrnes	2
Xi-Ming Cheng	2
Jongyook Park	2
Yoshio Sano	1
Ferenc Szöllősi	1
Jose Yip	1
Charissa I. Utomo	1
Graeme Taylor	1
Tetsuji Taniguchi	1
Anni Peng	1
John Jasper	1
Bojan Mohar	1
Alexander L. Gavrilyuk	1
O Suil	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A very short proof of Cauchy's interlace theorem for eigenvalues of Hermitian matrices	2005	Steve Fisk	12
+	Spectra of Graphs	2011	Andries E. Brouwer Willem H. Haemers	11
+	Equiangular lines in Euclidean spaces	2015	Gary R. W. Greaves Jack H. Koolen Akihiro Munemasa Ferenc Szöllősi	10
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	9
+	Equiangular line systems and switching classes containing regular graphs	2017	Gary R. W. Greaves	8
+	On equiangular lines in $17$ dimensions and the characteristic polynomial of a Seidel matrix	2019	Gary R. W. Greaves Pavlo Yatsyna	7
+ PDF Chat	There is no (95, 40, 12, 20) strongly regular graph	2019	Jernej Azarija Tilen Marc	7
+	Grassmannian frames with applications to coding and communication	2003	Thomas Strohmer Robert W. Heath	7
+	Cauchy's Interlace Theorem for Eigenvalues of Hermitian Matrices	2004	Suk-Geun Hwang	7
+ PDF Chat	Integer symmetric matrices having all their eigenvalues in the interval <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mo stretchy="false">[</mml:mo><mml:mo>−</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy="false">]</mml:mo></mml:math>	2007	James McKee Chris Smyth	6
+	Algebraic Graph Theory	2009	Chris Godsil Gordon Royle	6
+	There is no (75,32,10,16) strongly regular graph	2018	Jernej Azarija Tilen Marc	6
+ PDF Chat	Upper bounds for s-distance sets and equiangular lines	2018	Alexey Glazyrin Wei-Hsuan Yu	6
+	Steiner equiangular tight frames	2011	Matthew Fickus Dustin G. Mixon Janet C. Tremain	6
+	Saturated configuration and new large construction of equiangular lines	2019	Yen-chi Roger Lin Wei-Hsuan Yu	6
+	A new relative bound for equiangular lines and nonexistence of tight spherical designs of harmonic index <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si13.gif" display="inline" overflow="scroll"><mml:mn>4</mml:mn></mml:math>	2015	Takayuki Okuda Wei-Hsuan Yu	5
+ PDF Chat	Bounds on Equiangular Lines and on Related Spherical Codes	2016	Boris Bukh	5
+ PDF Chat	New Bounds for Equiangular Lines and Spherical Two-Distance Sets	2017	Wei-Hsuan Yu	5
+ PDF Chat	A Remark on a Construction of D.S. Asche	2017	Ferenc Szöllősi	5
+ PDF Chat	New Upper Bounds for Equiangular Lines by Pillar Decomposition	2019	Emily J. King Xiaoxian Tang	5
+	Equiangular lines in Euclidean spaces: Dimensions 17 and 18	2023	Gary R. W. Greaves Jeven Syatriadi Pavlo Yatsyna	5
+ PDF Chat	Equiangular lines and spherical codes in Euclidean space	2017	Igor Balla Felix Dräxler Peter Keevash Benny Sudakov	4
+ PDF Chat	Salem Numbers of Trace -2 and Traces of Totally Positive Algebraic Integers	2004	James McKee Chris Smyth	4
+ PDF Chat	Equiangular Tight Frames From Hyperovals	2016	Matthew Fickus Dustin G. Mixon John Jasper	4
+	Eigenspaces of graphs	1997	Dragoš Cvetković Peter Rowlinson Slobodan Simić	4
+	Tremain equiangular tight frames	2017	Matthew Fickus John Jasper Dustin G. Mixon Jesse Peterson	4
+ PDF Chat	The Road to Deterministic Matrices with the Restricted Isometry Property	2013	Afonso S. Bandeira Matthew Fickus Dustin G. Mixon Percy Wong	4
+ PDF Chat	Cyclotomic matrices and graphs over the ring of integers of some imaginary quadratic fields	2011	Graeme Taylor	4
+	Enumeration of Seidel matrices	2017	Ferenc Szöllősi Patric R. J. Östergård	4
+	On cliques in edge-regular graphs	2014	Leonard H. Soicher	4
+ PDF Chat	Fingerprinting With Equiangular Tight Frames	2013	Dustin G. Mixon Christopher J. Quinn Negar Kiyavash Matthew Fickus	4
+	Spectral conditions for the reconstructibility of a graph	1981	Chris Godsil Brendan D. McKay	4
+ PDF Chat	Symmetric informationally complete quantum measurements	2004	Joseph M. Renes Robin Blume-Kohout A.J. Scott Carlton M. Caves	4
+ PDF Chat	Equiangular Lines in Low Dimensional Euclidean Spaces	2021	Gary R. W. Greaves Jeven Syatriadi Pavlo Yatsyna	4
+ PDF Chat	Doubly transitive lines I: Higman pairs and roux	2021	Joseph W. Iverson Dustin G. Mixon	4
+	Cyclotomic matrices over the Eisenstein and Gaussian integers	2012	Gary R. W. Greaves	4
+ PDF Chat	Integer Symmetric Matrices of Small Spectral Radius and Small Mahler Measure	2011	James McKee Chris Smyth	3
+ PDF Chat	The Mahler measure of algebraic numbers: a survey	2008	Chris Smyth	3
+ PDF Chat	Zwei Sätze über Gleichungen mit ganzzahligen Coefficienten.	1857	Léopold Kronecker	3
+	Equiangular lines with a fixed angle	2019	Zilin Jiang Jonathan Tidor Yuan Yao Shengtong Zhang Yufei Zhao	3
+	Cyclotomic matrices over real quadratic integer rings	2012	Gary R. W. Greaves	3
+	On Some Inequalities for Polynomials in Several Variables	1962	K. Mahler	3
+	Equiangular lines, mutually unbiased bases, and spin models	2008	Chris Godsil Aidan Roy	3
+	Strongly regular graphs with smallest eigenvalue ?m	1979	Arnold Neumaier	3
+	Principal submatrices V: some results concerning principal submatrices of arbitrary matrices	1968	R.C. Thompson	3
+	On the existence of equiangular tight frames	2007	Mátyás A. Sustik Joel A. Tropp Inderjit S. Dhillon Robert W. Heath	3
+	Small regular graphs with four eigenvalues	1998	Edwin van Dam Edward Spence	3
+	Classical Groups and Geometric Algebra	2001	L. C. Grove	3
+	A (49, 16, 3, 6) Strongly Regular Graph Does Not Exist	1989	F.C. Bussemaker Willem H. Haemers R. Matron H.A. Wilbrink	3
+	Graphs with three distinct eigenvalues and largest eigenvalue less than <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mrow><mml:mn>8</mml:mn></mml:mrow></mml:math>	2009	Henry Y. H. Chuang G.R. Omidi	3