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arXiv · 2211.04179

Critical ($P_5$,bull)-free graphs

Shenwei Huang·Jiawei Li·Wen Xia
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Abstract

Given two graphs $H_1$ and $H_2$, a graph is $(H_1,H_2)$-free if it contains no induced subgraph isomorphic to $H_1$ or $H_2$. Let $P_t$ and $C_t$ be the path and the cycle on $t$ vertices, respectively. A bull is the graph obtained from a triangle with two disjoint pendant edges. In this paper, we show that there are finitely many 5-vertex-critical ($P_5$,bull)-free graphs.

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Shenwei Huang, Jiawei Li, Wen Xia. 2022-11-08. Critical ($P_5$,bull)-free graphs. https://arxiv.org/abs/2211.04179

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