Dominating Sets and Domination Polynomial of Wheels
Let be a simple graph. set is a dominating set of , if every vertex in is adjacent to at least one vertex in . Let be wheelÂ with order n. Let be the family of dominating sets of a wheels with cardinality , and let . In this paper, we construct , and obtain a recursive formula for . Using this recursive formula, we consider the polynomial , which we call domination polynomial of wheels and obtain some properties of this polynomial.
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