A. Zalesski

activity

20072026

most citedOn characters of Chevalley groups vanishing at the non-semisimple elements

3 citations · 6 across the 24 of their papers we have counts for

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math.CO2020

On the second largest eigenvalue of some Cayley graphs of the Symmetric Group

Johannes Siemons, Alexandre Zalesski

Let $S_{n}$ and $A_{n}$ denote the symmetric and alternating group on the set ${1, .., n},$ respectively. In this paper we are interested in the second largest eigenvalue $λ_{2} (Γ)$ …

math.CO2018

Remarks on singular Cayley graphs and vanishing elements of simple groups

Johannes Siemons, Alexandre Zalesski

Let $Γ$ be a finite graph and let $A (Γ)$ be its adjacency matrix. Then $Γ$ is {\it singular} if $A (Γ)$ is singular. The singularity of graphs is of certain interest in graph theory…