Two-sided, unbiased version of Hall's marriage theorem

Eli Shamir, Benny Sudakov

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

The standard conditions in Hall's perfect matching theorem for a bipartite graph G require that all subsets from one side of G are expanding. The unbiased extension identifies mixtures of subsets from both sides such that their expansions imply the standard conditions - hence a perfect matching.

Original languageEnglish
Pages (from-to)79-80
Number of pages2
JournalAmerican Mathematical Monthly
Volume124
Issue number1
DOIs
StatePublished - 1 Jan 2017

Bibliographical note

Publisher Copyright:
© The Mathematical Association of America.

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