Strengthening the Closure Concept in Claw-Free Graphs.

摘要

We give a strengthening of the closure concept for claw-free graphs introduced by the second author in 1997. The new closure of a claw-free graph G defined here is uniquely determined and preserves the value of the circumference of G. We present an infinite family of graphs with n vertices and 3/2n-1 edges for which the new closure is the complete graph Kn.