Volume 12, Issue 1 (4-2017)                   IJMSI 2017, 12(1): 69-80 | Back to browse issues page


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Abstract:  

Let $G$ be a simple graph of order $n$. The domination polynomial of $G$ is the polynomial $D(G, x)=sum_{i=gamma(G)}^{n} d(G,i) x^{i}$, where $d(G,i)$ is the number of dominating sets of $G$ of size $i$ and $gamma(G)$ is the domination number of $G$. In this paper we present some families of graphs whose domination polynomials are unimodal.

Type of Study: Research paper | Subject: General

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