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arXiv · 2009.04831

Super connectivity of lexicographic product graphs

Khalid Kamyab·Mohsen Ghasemi·Rezvan Varmazyar
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Abstract

For a graph $G$, $k(G)$ denotes its connectivity. A graph is super connected if every minimum vertex-cut isolates a vertex. Also $k_{1}$-connectivity of a connected graph is the minimum number of vertices whose deletion gives a disconnected graph without isolated vertices. This paper provides bounds for the super connectivity and $k_{1}$-connectivity of the lexicographic product of two graphs.

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Khalid Kamyab, Mohsen Ghasemi, Rezvan Varmazyar. 2020-09-10. Super connectivity of lexicographic product graphs. https://arxiv.org/abs/2009.04831

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