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- Gary R. W. Greaves, Jacobus H. Koolen, Akihiro Munemasa, Ferenc Szöllösi
- J. Comb. Theory, Ser. A
- 2016

We obtain several new results contributing to the theory of real equiangular line systems. Among other things, we present a new general lower bound on the maximum number of equiangular lines in d dimensional Eu-clidean space; we describe the two-graphs on 12 vertices; and we investigate Seidel matrices with exactly three distinct eigenvalues. As a result,… (More)

- Gary R. W. Greaves, Jacobus H. Koolen, Akihiro Munemasa, Yoshio Sano, Tetsuji Taniguchi
- J. Comb. Theory, Ser. B
- 2015

- Gary R. W. Greaves
- Math. Comput.
- 2015

A totally real polynomial in Z[x] with zeros α 1 α 2 · · · αn has span αn − α 1. Building on the classification of all characteristic poly-nomials of integer symmetric matrices having span less than 4, we obtain a classification of polynomials having span less than 4 that are the characteristic polynomial of a Hermitian matrix over some quadratic integer… (More)

- Xi-Ming Cheng, Alexander L. Gavrilyuk, Gary R. W. Greaves, Jacobus H. Koolen
- Eur. J. Comb.
- 2016

- Graeme Taylor, Gary R. W. Greaves
- Electr. J. Comb.
- 2013

We solve Lehmer's problem for a class of polynomials arising from Hermitian matrices over the Eisenstein and Gaussian integers, that is, we show that all such polynomials have Mahler measure at least Lehmer's number τ 0 = 1.17628. .. .

- Etsuo SEGAWA, Kenji TOYONAGA, +4 authors Gary Greaves
- 2013

Spectral mapping theorem and asymptotic behavior of quantum walks on infinite graphs Etsuo SEGAWA (Tohoku Univ., JAPAN) 10:10 Tea Break 10:20 Seidel matrices with precisely three distinct eigenvalues Gary GREAVES (Tohoku Univ., JAPAN) 11:00 Tea Break 11:10 On the characteristic of a multiple eigenvalue of an Hermi-tian matrix whose graph is a tree

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