Olha Silina

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20202026

most citedGraph covers with two new eigenvalues

4 citations · 4 across the 5 of their papers we have counts for

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math.CO2025

A Polyhedral Perspective on the Perfect Matching Lattice

Olha Silina

We study the perfect matching lattice of a matching covered graph $G$ , generated by the incidence vectors of its perfect matchings. Building on results of Lovász and de Carvalho, L…

math.CO2025

Integral bases, perfect matchings, and the Petersen graph

Ahmad Abdi, Olha Silina

Let $G = (V, E)$ be a matching-covered graph, denote by $P$ its perfect matching polytope, and by $L$ the integer lattice generated by the integral points in $P$ . In this paper, we gi…