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arXiv · 2503.22951

Spectral condition for $k$-factor-criticality in $t$-connected graphs

Tingyan Ma·Edwin R. van Dam·Ligong Wang
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Abstract

A graph $G$ is called $k$-factor-critical if $G-S$ has a perfect matching for every $S\subseteq G$ with $|S|=k$. A connected graph $G$ is called $t$-connected if it has more than $t$ vertices and remains connected whenever fewer than $t$ vertices are removed. We give a condition on the number of edges and a condition on the spectral radius for $k$-factor-criticality in $t$-connected graphs.

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Tingyan Ma, Edwin R. van Dam, Ligong Wang. 2025-08-31. Spectral condition for $k$-factor-criticality in $t$-connected graphs. https://arxiv.org/abs/2503.22951

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