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

Eli Shamir; Benny Sudakov

doi:10.4169/amer.math.monthly.124.1.79

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

Eli Shamir
, Benny Sudakov

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	79-80
Number of pages	2
Journal	American Mathematical Monthly
Volume	124
Issue number	1
DOIs	https://doi.org/10.4169/amer.math.monthly.124.1.79
State	Published - 1 Jan 2017

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© The Mathematical Association of America.

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10.4169/amer.math.monthly.124.1.79

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

Abstract

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