图G的毁度定义为r(G)=max{w(G—X)-|X|-m(G—X)X∪→V(G),w(G—X)〉1},其中w(G—X)表示G—X的连通分支数,m(G—X)表示G—X的最大连通分支的阶。对于一般图G,其毁度的计算为NPC问题。将单圈图的毁度计算问题转化为树或圈的计算问题,从而提供了一个单圈图毁度的计算方法。
The rupture degree of a noncomplete connected graph G is defined as r(G)=max{w(G-X)-|X|-m(G-X)X∪→V(G),where w(G-X)〉1} is the number of components of G-X and re(G-X) is the order of a largest component of G-X.As to the complete graph,its rupture degree is defined as n.An algorithm for computing the rupture degree of unicycle graphs is presented.