孟吉翔. 几类亚随意匹配图[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 1984, (1).DOI:
几类亚随意匹配图
摘要
David P.Sumner在[1]中引入了随意匹配图的概念;如果图G的任意匹配都能扩充为G的完备匹配
则称G为随意匹配图.他证明了当且仅当G为
Abstract
A graph is defined to be hypomatchable if every matching of G can be extended to a maximum matching of G. The matching ratio of G
denoted by m(G)
isa'(G)/{v/2}
where a'(G)denotes the number of edges in a maximum matching of G. In this Paper We give some classes of hypomatch- able graphs and show that for any rational numberγ