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arXiv · 1510.03605

Relative Cayley graphs of finite groups

Mohammad Farrokhi Derakhshandeh Ghouchan·Mehdi Rajabian·Ahmad Erfanian
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Abstract

The relative Cayley graph of a group $G$ with respect to its proper subgroup $H$, is a graph whose vertices are elements of $G$ and two vertices $h\in H$ and $g\in G$ are adjacent if $g=hc$ for some $c\in C$, where $C$ is an inversed-closed subset of $G$. We study the relative Cayley graphs and, among other results, we discuss on their connectivity and forbidden structures, and compute some of their important numerical invariants.

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Mohammad Farrokhi Derakhshandeh Ghouchan, Mehdi Rajabian, Ahmad Erfanian. 2015-10-13. Relative Cayley graphs of finite groups. https://arxiv.org/abs/1510.03605

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