THE number of disjoint perfect matchings in semi-regular graphs

Hongliang Lu; David G.L. Wang

doi:10.2298/AADM161109030L

THE number of disjoint perfect matchings in semi-regular graphs

Hongliang Lu
, David G.L. Wang^*

^*Corresponding author for this work

School of Mathematics and Statistics

Xi'an Jiaotong University

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

1 Citation (Scopus)

Abstract

We obtain a sharp result that for any even n ≥ 34, every (D_n; D_n+1)-regular graph of order n contains (n/4- disjoint perfect matchings, where D_n = 2(n/4)-1. As a consequence, for any integer D ≥ D_n, every (D; D + 1)- regular graph of order n contains (D-(n/4)+1) disjoint perfect matchings.

Original language	English
Pages (from-to)	11-38
Number of pages	28
Journal	Applicable Analysis and Discrete Mathematics
Volume	11
Issue number	1
DOIs	https://doi.org/10.2298/AADM161109030L
Publication status	Published - 1 Apr 2017

Keywords

Factorization
Hamiltonian Graph
Perfect Matching
Regular Graph
Semiregular Graph

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abstract = "We obtain a sharp result that for any even n ≥ 34, every (Dn; Dn+1)-regular graph of order n contains (n/4- disjoint perfect matchings, where Dn = 2(n/4)-1. As a consequence, for any integer D ≥ Dn, every (D; D + 1)- regular graph of order n contains (D-(n/4)+1) disjoint perfect matchings.",

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AB - We obtain a sharp result that for any even n ≥ 34, every (Dn; Dn+1)-regular graph of order n contains (n/4- disjoint perfect matchings, where Dn = 2(n/4)-1. As a consequence, for any integer D ≥ Dn, every (D; D + 1)- regular graph of order n contains (D-(n/4)+1) disjoint perfect matchings.

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KW - Hamiltonian Graph

KW - Perfect Matching

KW - Regular Graph

KW - Semiregular Graph

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THE number of disjoint perfect matchings in semi-regular graphs

Abstract

Keywords

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