Gary R. W. Greaves

activity

20162026

most citedReal equiangular lines in dimension 18 and the Jacobi identity for complementary subgraphs

3 citations · 5 across the 7 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.CO2021

Signed $(0, 2)$ -graphs with few eigenvalues and a symmetric spectrum

Gary R. W. Greaves, Zoran Stanić

We investigate properties of signed graphs that have few distinct eigenvalues together with a symmetric spectrum. Our main contribution is to determine all signed $(0, 2)$ -graphs wi…

math.CO2021

Hermitian matrices of roots of unity and their characteristic polynomials

Gary R. W. Greaves, Chin Jian Woo

We investigate spectral conditions on Hermitian matrices of roots of unity. Our main results are conjecturally sharp upper bounds on the number of residue classes of the characteri…

math.CO2021

Equiangular lines in Euclidean spaces: dimensions 17 and 18

Gary R. W. Greaves, Jeven Syatriadi, Pavlo Yatsyna

We show that the maximum cardinality of an equiangular line system in 17 dimensions is 48, thereby solving a longstanding open problem. Furthermore, by giving an explicit construct…

Signed (0,2)-graphs with few eigenvalues and a symmetric spectrum

Hermitian matrices of roots of unity and their characteristic polynomials

Equiangular lines in Euclidean spaces: dimensions 17 and 18

Signed $(0, 2)$ -graphs with few eigenvalues and a symmetric spectrum