Dominating Sets and Domination Polynomial of Complete Graphs with Missing Edges | ||
| Journal of Kufa for Mathematics and Computer | ||
| Article 1, Volume 2, Issue 1, April 2015, Pages 64-68 | ||
| Authors | ||
| Abdul Jalil M. Khalaf; Sahib Shayyal Kahat | ||
| Abstract | ||
| 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 complete graph with order n. Let be the family of dominating sets of a complete 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 complete graphs and obtain some properties of this polynomial. | ||
| Keywords | ||
| simple graph Dominating Sets Complete Graphs Missing Edges | ||
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