A new lower bound on the independence number of a graph Published: 2009/12/04 Omar KettaniCategories Graphs and Matroids Tags connected graph, independence number, min algorithm Short URL: https://optimization-online.org/?p=11006 For a given connected graph G on n vertices and m edges, we prove that its independence number α(G) is at least ((2m+n+2) -sqrt(sqr(2m+n+2)-16sqr(n)))/8. ArticleDownload View PDF