一种构造紧图族的方法

A Method of Constructing the Compact Graph

双随机矩阵有许多重要的应用,紧图族可以看作是组合矩阵论中关于双随机矩阵的著名的Birkhoff定理的拓广,有重要的研究价值.确定一个图是否紧的是个困难的问题,目前已知的紧图族尚不多,本文介绍从某些已知的紧图出发构造紧图族的加边法,从而构造很多紧图族.

Doubly stochastic matrix has many important applications,the family of compact graph can be seen as the generalization of the famous Birkhoff theorem which is about doubly stochastic matrix,has important research value.Determine whether a graph is a compact graph is an difficult problem,at present there are only few compact graphs known.In this paper,we introduced the method of constructing compact graphs continuously by adding pendant edges to some already known compact graphs.Using this method we can construct a lot of compact graphs.