Some Results Concerning the Ends of Minimal Cuts of Simple Graphs
Authors: Ning Jia and Xiaofeng Jia
ABSTRACT
Let S be a cut of a simple connected graph G.If S has no proper subset
that is a cut, we say S is a minimal cut of G. To a minimal cut S, a
connected component of G-S is called a fragment. And a fragment with no
proper subset that is also a fragment is called an end. We characterized
ends in our discussions and proved that to a connected graph G=(V,E),
the number of its ends<=|V(G)|.