摘要：The isolated toughness and binding number, asthe parameters for measuring stability and vulnerable ofnetworks, have been widely used in computer communi-cation networks. The concept of fractional critical deletedgraph is used to measure whether there exists a feasibledata packet transmission scheme from site to site whencertain intermediate channels and sites are damaged. Inthis paper, we study the relationship between fractionalcritical deleted graph and vulnerability parameters. It ishighlighted that a graph G is a fractional critical deletedgraph if its isolated toughness or binding number meetscertain conditions. Furthermore, some conditions we give inthe article is sharp in some sense.
