Matching Extendabilities of G = Cm V Pn

Zhi hao Hui; Yu Yang; Hua Wang; Xiao jun Sun

doi:10.3390/math7100941

Matching Extendabilities of G = C_m V P_n

Zhi hao Hui, Yu Yang, Hua Wang, Xiao jun Sun

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

A graph is considered to be induced-matching extendable (bipartite matching extendable) if every induced matching (bipartite matching) of G is included in a perfect matching of G. The induced-matching extendability and bipartite-matching extendability of graphs have been of interest. By letting G = C_m V P_n (m ≥ 3 and n ≥ 1) be the graph join of C_m (the cycle with m vertices) and P_n (the path with n vertices) contains a perfect matching, we find necessary and sufficient conditions for G to be induced-matching extendable and bipartite-matching extendable.

Original language	English
Article number	941
Journal	Mathematics
Volume	7
Issue number	10
DOIs	https://doi.org/10.3390/math7100941
State	Published - Oct 1 2019

Scopus Subject Areas

General Mathematics

Keywords

Bipartite matching extendable graph
Induced matching extendable
Perfect matching
k-extendable

Access to Document

10.3390/math7100941

Cite this

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