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.

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View A new lower bound on the independence number of a graph

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.

View A new lower bound on the independence number of a graph