On the number of maximum independent sets of graphs
نویسندگان
1 Islamic Azad University of Marvdasht
2 University of Isfahan
doi
10.22108/toc.2014.4060چکیده
Let $G$ be a simple graph. An independent set is a set of pairwise non-adjacent vertices. The number of vertices in a maximum independent set of $G$ is denoted by $\alpha(G)$. In this paper, we characterize graphs $G$ with $n$ vertices and with maximum number of maximum independent sets provided that $\alpha(G)\leq 2$ or $\alpha(G)\geq n-3$.