Volume 12, Issue 1 (4-2017)
IJMSI 2017, 12(1): 69-80 |
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Alikhani S, Jahari S. Some Families of Graphs whose Domination Polynomials are Unimodal. IJMSI 2017; 12 (1) :69-80
URL: http://ijmsi.ir/article-1-617-en.html
URL: http://ijmsi.ir/article-1-617-en.html
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 |
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