A. Valyuzhenich

activity

20092025

most citedMinimum supports of functions on the Hamming graphs with spectral constraints

14 citations · 34 across the 14 of their papers we have counts for

collaborators

Showing 2023Show all

2 papers · 1 filter

math.CO2023

On reduction for eigenfunctions of graphs

Alexandr Valyuzhenich

In this work, we prove a general version of the reduction lemmas for eigenfunctions of graphs admitting involutive automorphisms of a special type.

math.CO2023

Optimal functions with spectral constraints in hypercubes

Alexandr Valyuzhenich

The $n$ -dimensional hypercube has $n + 1$ distinct eigenvalues $n - 2 i$ , $0 \leq i \leq n$ , with corresponding eigenspaces $U_{i} (n)$ . In 2021 it was proved by the author that if a functio…