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arXiv · 1403.1999

On the domination polynomials of cactus chains

Saeid Alikhani·Somayeh Jahari·Mohammad Mehryar
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Abstract

Let $G$ be a simple graph of order $n$. The domination polynomial of $G$ is the polynomial $D(G, x)=\sum_{i=γ(G)}^{n} d(G,i) x^{i}$, where $d(G,i)$ is the number of dominating sets of $G$ of size $i$ and $γ(G)$ is the domination number of $G$. In this paper we consider cactus chains with triangular and square blocks and study their domination polynomials.

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Saeid Alikhani, Somayeh Jahari, Mohammad Mehryar. 2014-04-02. On the domination polynomials of cactus chains. https://arxiv.org/abs/1403.1999

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