Some extended results on diameter-stable graphs

A graph GG is said to be an (l,d)(l,d)-graph (with respect to edges) if d(G−E)≤d,∀E⊂E(G)d(G−E)≤d,∀E⊂E(G) such that |E|≤l−1|E|≤l−1. The ll-diameter-stable graphs are (l,d)(l,d)-graphs with diameter dd. In this paper some results given by Hartman and Rubin in [1] and a theorem obtained in [6] are extended.