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 2018Show all

3 papers · 1 filter

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★ 6 cited

$P I$ -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…

math.CO2018★ 10 cited

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 $\frac{q + 1}{2}$ or $\frac{q + 3}{2}$ , accordingly as $q \equiv 1 (4)$ or $q \equiv 3 (4)$ , in Paley graphs of order $q^{2}$ , where $q$ is…

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

PI-eigenfunctions of the Star graphs

On eigenfunctions and maximal cliques of Paley graphs of square order

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

$P I$ -eigenfunctions of the Star graphs