Title
Second kind maximum matching graph.
Abstract
The second kind maximum matching graphM"2(G) of a graph G is the graph whose vertices are the maximum matchings of G such that two vertices M"1 and M"2 of M"2(G) are adjacent if and only if the symmetric difference of M"1 and M"2 induces either a cycle or a path of length 2. In this paper, we prove that the class of second kind maximum matching graphs has no forbidden induced subgraphs, and we characterize the graphs whose second kind maximum matching graphs are trees, or cycles, or complete graphs.
Year
DOI
Venue
2014
10.1016/j.disc.2014.01.011
Discrete Mathematics
Keywords
Field
DocType
vertices m,kind maximum,graph g,induced subgraphs,symmetric difference,complete graph,maximum matchings,maximum matching
Discrete mathematics,Combinatorics,Indifference graph,Chordal graph,Bipartite graph,Cograph,Factor-critical graph,Pathwidth,1-planar graph,Mathematics,Split graph
Journal
Volume
ISSN
Citations 
323
0012-365X
0
PageRank 
References 
Authors
0.34
4
2
Name
Order
Citations
PageRank
Yan Liu119730.85
Zhengbiao Liu200.34