V. Kabanov

activity

20172023

most citedOn strictly Deza graphs with parameters (n,k,k-1,a)

11 citations · 39 across the 12 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.CO2019★ 1 cited

Minimum supports of eigenfunctions with the second largest eigenvalue of the Star graph

Vladislav Kabanov, Elena V. Konstantinova, Leonid Shalaginov +1

The Star graph $S_{n}$ , $n \geq 3$ , is the Cayley graph on the symmetric group $S y m_{n}$ generated by the set of transpositions ${(12), (13), \dots, (1 n)}$ . In this work we study eigenfu…

math.CO2019★ 4 cited

On divisible design Cayley graphs

Vladislav V. Kabanov, Leonid Shalaginov

We present a construction that gives an infinite series of divisible design graphs which are Cayley graphs.

math.CO2019★ 2 cited

Deza graphs with parameters (v,k,k-2,a)

Vladislav Kabanov, Leonid Shalaginov

A Deza graph with parameters $(v, k, b, a)$ is a $k$ -regular graph on $v$ vertices in which the number of common neighbors of two distinct vertices takes two values $a$ or $b$ ($a\leq…