典型文献
PM-compact Graphs and Vertex-deleted Subgraphs
文献摘要:
The perfect matching polytope of a graph G is the convex hull of the incidence vectors of all perfect matchings of G.A graph G is PM-compact if the 1-skeleton graph of the prefect matching polytope of G is complete.Equivalently,a matchable graph G is PM-compact if and only if for each even cycle C of G,G-V(C)has at most one perfect matching.This paper considers the class of graphs from which deleting any two adjacent vertices or nonadjacent vertices,respectively,the resulting graph has a unique perfect matching.The PM-compact graphs in this class of graphs are presented.
文献关键词:
中图分类号:
作者姓名:
Yi-pei ZHANG;Xiu-mei WANG;Jin-jiang YUAN
作者机构:
School of Mathematics and Statistics,Zhengzhou University,Zhengzhou 450001,China
文献出处:
引用格式:
[1]Yi-pei ZHANG;Xiu-mei WANG;Jin-jiang YUAN-.PM-compact Graphs and Vertex-deleted Subgraphs)[J].应用数学学报(英文版),2022(04):955-965
A类:
Subgraphs,prefect,Equivalently,matchable,nonadjacent
B类:
PM,compact,Graphs,Vertex,deleted,perfect,polytope,convex,hull,incidence,vectors,all,matchings,if,skeleton,complete,only,each,even,cycle,has,most,one,This,paper,considers,class,from,which,deleting,any,two,vertices,respectively,resulting,unique,this,are,presented
AB值:
0.436731
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