设E是图G的一个边子集,若G-E中既不包含孤立点,也没有完美匹配和几乎完美匹配,则称E为G的一个条件匹配排除集.边数最少的条件匹配排除集,称为最优条件匹配排除集.文章给出了k元n方体的最优条件匹配排除集.
A set E of edges in graph G is called a conditional matchin g preclusion set if G-E has neither isolated vertices nor perfect matching or almost perfect matching.The optimal conditional matching preclusion set is the conditional matching preclusion set with the least cardinality.In this paper,we give all optimal conditional matching preclusion sets for k-ary n-cubes.