45 citations · 110 across the 16 of their papers we have counts for
5 papers · 1 filter
The smallest strictly Neumaier graph and its generalisations
Rhys J. Evans, Sergey Goryainov, Dmitry Panasenko
A regular clique in a regular graph is a clique such that every vertex outside of the clique is adjacent to the same positive number of vertices inside the clique. We continue the…
Deza graphs with parameters and
Sergey Goryainov, Willem H. Haemers, Vladislav V. Kabanov +1
A Deza graph with parameters is a -regular graph with vertices in which any two vertices have or () common neighbours. A Deza graph is strictly…
-eigenfunctions of the Star graphs
Sergey Goryainov, Vladislav Kabanov, Elena Konstantinova +2
We consider the symmetric group , generated by the set of transpositions , and the Cayley graph $S_n=Cay(\math…
Equitable partitions of Latin-square graphs
R. A. Bailey, Peter J. Cameron, Alexander L. Gavrilyuk +1
We study equitable partitions of Latin-square graphs, and give a complete classification of those whose quotient matrix does not have an eigenvalue .
On eigenfunctions and maximal cliques of Paley graphs of square order
Sergey Goryainov, Vladislav V. Kabanov, Leonid Shalaginov +1
In this paper we find new maximal cliques of size or , accordingly as or , in Paley graphs of order , where is…