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Strongly regular graphs decomposable into a divisible design graph and a Hoffman coclique
Alexander L. Gavrilyuk, Vladislav V. Kabanov
In 2022, the second author found a prolific construction of strongly regular graphs, which is based on joining a coclique and a divisible design graph with certain parameters. The…
Generalised dual Seidel switching and Deza graphs with strongly regular children
Vladislav V. Kabanov, Elena V. Konstantinova, Leonid Shalaginov
A Deza graph G with parameters (n,k,b,a) is a k-regular graph with n vertices such that any two distinct vertices have b or a common neighbours, where b >= a. The children G_A and…
Minimum supports of eigenfunctions with the second largest eigenvalue of the Star graph
Vladislav Kabanov, Elena V. Konstantinova, Leonid Shalaginov +1
The Star graph , , is the Cayley graph on the symmetric group generated by the set of transpositions . In this work we study eigenfu…
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…