V. Kabanov

activity

20182020

most citedMinimum supports of eigenfunctions with the second largest eigenvalue of the Star graph

1 citations · 1 across the 1 of their papers we have counts for

collaborators

4 papers

math.CO2020

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…

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.CO2018

Deza graphs with parameters $(n, k, k - 1, a)$ and $β = 1$

Sergey Goryainov, Willem H. Haemers, Vladislav V. Kabanov +1

A Deza graph with parameters $(n, k, b, a)$ is a $k$ -regular graph with $n$ vertices in which any two vertices have $a$ or $b$ ( $a \leq b$ ) common neighbours. A Deza graph is strictly…

math.CO2018

$P I$ -eigenfunctions of the Star graphs

Sergey Goryainov, Vladislav Kabanov, Elena Konstantinova +2

We consider the symmetric group $Sym_{n}, n ⩾ 2$ , generated by the set $S$ of transpositions $(1 i), 2 ⩽ i ⩽ n$ , and the Cayley graph $S_n=Cay(\math…

Generalised dual Seidel switching and Deza graphs with strongly regular children

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

Deza graphs with parameters (n,k,k−1,a) and β=1

PI-eigenfunctions of the Star graphs

Deza graphs with parameters $(n, k, k - 1, a)$ and $β = 1$

$P I$ -eigenfunctions of the Star graphs