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arXiv · 1711.08890

Forbidden pairs for equality of edge-connectivity and minimum degree

Junfeng Du·Ziwen Huang·Liming Xiong
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Abstract

Let $\mathcal{H}$ be a class of given graphs. A graph $G$ is said to be $\mathcal{H}$-free if $G$ contains no induced copies of $H$ for any $H \in \mathcal{H}$. In this article, we characterize all pairs $\{R,S\}$ of graphs such that every connected $\{R,S\}$-free graph has the same edge-connectivity and minimum degree.

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Junfeng Du, Ziwen Huang, Liming Xiong. 2017-11-24. Forbidden pairs for equality of edge-connectivity and minimum degree. https://arxiv.org/abs/1711.08890

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