Perfect matchings and derangements on graphs

Matija Bucic; Pat Devlin; Mo Hendon; Dru Horne; Ben Lund

doi:10.1002/jgt.22658

Perfect matchings and derangements on graphs

Matija Bucic, Pat Devlin, Mo Hendon, Dru Horne, Ben Lund

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

2 Scopus citations

Abstract

We show that each perfect matching in a bipartite graph (Formula presented.) intersects at least half of the perfect matchings in (Formula presented.). This result has equivalent formulations in terms of the permanent of the adjacency matrix of a graph, and in terms of derangements and permutations on graphs. We give several related results and open questions.

Original language	English (US)
Pages (from-to)	340-354
Number of pages	15
Journal	Journal of Graph Theory
Volume	97
Issue number	2
DOIs	https://doi.org/10.1002/jgt.22658
State	Published - Jun 2021
Externally published	Yes

All Science Journal Classification (ASJC) codes

Geometry and Topology
Discrete Mathematics and Combinatorics

Keywords

perfect matchings
permanent
permutations

Access to Document

10.1002/jgt.22658

Cite this

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title = "Perfect matchings and derangements on graphs",

abstract = "We show that each perfect matching in a bipartite graph (Formula presented.) intersects at least half of the perfect matchings in (Formula presented.). This result has equivalent formulations in terms of the permanent of the adjacency matrix of a graph, and in terms of derangements and permutations on graphs. We give several related results and open questions.",

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year = "2021",

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AU - Bucic, Matija

AU - Devlin, Pat

AU - Hendon, Mo

AU - Horne, Dru

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PY - 2021/6

Y1 - 2021/6

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AB - We show that each perfect matching in a bipartite graph (Formula presented.) intersects at least half of the perfect matchings in (Formula presented.). This result has equivalent formulations in terms of the permanent of the adjacency matrix of a graph, and in terms of derangements and permutations on graphs. We give several related results and open questions.

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KW - permanent

KW - permutations

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M3 - Article

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JO - Journal of Graph Theory

JF - Journal of Graph Theory

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ER -

Perfect matchings and derangements on graphs

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

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