Alexander L. Gavrilyuk

activity

20202025

most citedSigned analogue of line graphs and their smallest eigenvalues

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.CO2025

Roux schemes which carry association schemes locally

Alexander L. Gavrilyuk, Jesse Lansdown, Akihiro Munemasa +1

A roux scheme is an association scheme formed from a special "roux" matrix and the regular permutation representation of an associated group. They were introduced by Iverson and Mi…

math.CO2021

Maximal digraphs whose Hermitian spectral radius is at most $2$

Alexander L. Gavrilyuk, Akihiro Munemasa

We classify maximal digraphs whose Hermitian spectral radius is at most $2$ .

math.CO2020★ 1 cited

Signed analogue of line graphs and their smallest eigenvalues

Alexander L. Gavrilyuk, Akihiro Munemasa, Yoshio Sano +1

In this paper, we show that every connected signed graph with smallest eigenvalue strictly greater than $- 2$ and large enough minimum degree is switching equivalent to a complete g…

Roux schemes which carry association schemes locally

Maximal digraphs whose Hermitian spectral radius is at most 2

Signed analogue of line graphs and their smallest eigenvalues

Maximal digraphs whose Hermitian spectral radius is at most $2$