S. Goryainov

activity

20182023

k

-trees, perfect matchings and spectral radius of graphs

45 citations · 110 across the 16 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.CO2022★ 2 cited

Equitable 2-partitions of the Johnson graphs $J (n, 3)$

Rhys J. Evans, Alexander L. Gavrilyuk, Sergey Goryainov +1

We finish the classification of equitable 2-partitions of the Johnson graphs of diameter 3, $J (n, 3)$ , for $n > 10$ .

math.CO2022★ 8 cited

On eigenfunctions and maximal cliques of generalised Paley graphs of square order

Sergey Goryainov, Leonid Shalaginov, Chi Hoi Yip

Let GP $(q^{2}, m)$ be the $m$ -Paley graph defined on the finite field with order $q^{2}$ . We study eigenfunctions and maximal cliques in generalised Paley graphs GP $(q^{2}, m)$ , where $m \…

math.CO2022★ 7 cited

The EKR-module property of pseudo-Paley graphs of square order

Shamil Asgarli, Sergey Goryainov, Huiqiu Lin +1

We prove that a family of pseudo-Paley graphs of square order obtained from unions of cyclotomic classes satisfies the Erdős-Ko-Rado (EKR) module property, in a sense that the char…

Equitable 2-partitions of the Johnson graphs J(n,3)

On eigenfunctions and maximal cliques of generalised Paley graphs of square order

The EKR-module property of pseudo-Paley graphs of square order

Equitable 2-partitions of the Johnson graphs $J (n, 3)$