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arXiv · 1501.05856

Domination polynomial of generalized friendship and generalized book graphs

Somayeh Jahari·Saeid Alikhani
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Abstract

Let G be a simple graph of order n. The domination polynomial of a graph is the generating function of its dominating sets. We study the domination polynomials of generalized friendship graphs. We also consider book graphs formed by joining n copies of the cycle graph of order 4 with a common edge and study the domination polynomials of some generalized book graphs. In particular we examine the domination roots of these families and find the limiting curve for the roots.

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Somayeh Jahari, Saeid Alikhani. 2015-01-23. Domination polynomial of generalized friendship and generalized book graphs. https://arxiv.org/abs/1501.05856

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