Gary R. W. Greaves

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20112026

most citedEquiangular lines in Euclidean spaces

96 citations · 298 across the 25 of their papers we have counts for

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Showing 2017Show all

2 papers · 1 filter

math.CO2017

Edge-regular graphs with regular cliques

Gary R. W. Greaves, Jack H. Koolen

We exhibit infinitely many examples of edge-regular graphs that have regular cliques and that are not strongly regular. This answers a question of Neumaier from 1981.

math.CO2017

On a lower bound for the Laplacian eigenvalues of a graph

Gary R. W. Greaves, Akihiro Munemasa, Anni Peng

If $μ_{m}$ and $d_{m}$ denote, respectively, the $m$ -th largest Laplacian eigenvalue and the $m$ -th largest vertex degree of a graph, then $μ_{m} ⩾ d_{m} - m + 2$ . This inequality was…