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arXiv · 1704.04150

The distinguishing number and the distinguishing index of Cayley graphs

Saeid Alikhani·Samaneh Soltani
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Abstract

The distinguishing number (index) $D(G)$ ($D'(G)$) of a graph $G$ is the least integer $d$ such that $G$ has an vertex labeling (edge labeling) with $d$ labels that is preserved only by a trivial automorphism. In this paper, we investigate the distinguishing number and the distinguishing index of Cayley graphs.

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Saeid Alikhani, Samaneh Soltani. 2017-04-13. The distinguishing number and the distinguishing index of Cayley graphs. https://arxiv.org/abs/1704.04150

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