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arXiv · 1102.5180

Connectivity of Direct Products of Graphs

Wei Wang·Ni-Ni Xue
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Abstract

Let $κ(G)$ be the connectivity of $G$ and $G\times H$ the direct product of $G$ and $H$. We prove that for any graphs $G$ and $K_n$ with $n\ge 3$, $κ(G\times K_n)=min\{nκ(G),(n-1)δ(G)\}$, which was conjectured by Guji and Vumar.

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Wei Wang, Ni-Ni Xue. 2011-02-25. Connectivity of Direct Products of Graphs. https://arxiv.org/abs/1102.5180

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