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arXiv · 1710.07426

More on the sixth coefficient of the matching polynomial in regular graphs

Neda Soltani·Saeid Alikhani
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Abstract

A matching set $M$ in a graph $G$ is a collection of edges of $G$ such that no two edges from $M$ share a vertex. In this paper we consider some parameters related to the matching of regular graphs. We find the sixth coefficient of the matching polynomial of regular graphs. As a consequence, every cubic graph of order $10$ is matching unique.

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Neda Soltani, Saeid Alikhani. 2017-10-20. More on the sixth coefficient of the matching polynomial in regular graphs. https://arxiv.org/abs/1710.07426

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