图的一因子分解

A Note on One-factorization of a Graph

本文介绍了有关一因子分解的主要概念和主要结构,并举例说明这些定理条件的必要性,最后讨论一因分子解的一个猜想,给出了对这个猜想至今为止的所有结果并举例说明这猜想不是充分必要的。

The paper introduces the main concepts and results of one-factorization of graphs, and explains its necessity of illustrating some graphs. And finallf it discusses a conjuncture and presents all the main results which are known up to now on the conjecture, and points out this conjecture is not necessary rily sufficient by some examples.