some families of graphs whose domination polynomials are unimodal
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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.
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Journal title:
iranian journal of mathematical sciences and informaticsجلد ۱۲، شماره ۱، صفحات ۶۹-۸۰
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