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arXiv · 2401.01030

Spectral conditions for factor-criticality of graphs

Jin Cai·Bo Zhou
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Abstract

A graph $G$ is $k$-factor-critical if $G-S$ has a perfect matching for any $k$-subset $S$ of the vertex set of $G$. In this paper, we investigate the factor-criticality of graphs with fixed minimum degree and provide sufficient conditions for such graphs to be $k$-factor-critical in terms of spectral radius and signless Laplacian spectral radius.

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Jin Cai, Bo Zhou. 2024-01-02. Spectral conditions for factor-criticality of graphs. https://arxiv.org/abs/2401.01030

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