A simpler proof and a generalization of the zero-trees theorem

A. Schrijver; P. D. Seymour

doi:10.1016/0097-3165(91)90063-M

A simpler proof and a generalization of the zero-trees theorem

A. Schrijver
, P. D. Seymour

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

27 Scopus citations

Abstract

Z. Füredi and D. J. Kleitman proved that if an integer weight is assigned to each edge of a complete graph on p + 1 vertices, then some spanning tree has total weight divisible by p. We obtain a simpler proof by generalizing the result to hypergraphs.

Original language	English (US)
Pages (from-to)	301-305
Number of pages	5
Journal	Journal of Combinatorial Theory, Series A
Volume	58
Issue number	2
DOIs	https://doi.org/10.1016/0097-3165(91)90063-M
State	Published - Nov 1991
Externally published	Yes

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

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10.1016/0097-3165(91)90063-M

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title = "A simpler proof and a generalization of the zero-trees theorem",

abstract = "Z. F{\"u}redi and D. J. Kleitman proved that if an integer weight is assigned to each edge of a complete graph on p + 1 vertices, then some spanning tree has total weight divisible by p. We obtain a simpler proof by generalizing the result to hypergraphs.",

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N2 - Z. Füredi and D. J. Kleitman proved that if an integer weight is assigned to each edge of a complete graph on p + 1 vertices, then some spanning tree has total weight divisible by p. We obtain a simpler proof by generalizing the result to hypergraphs.

AB - Z. Füredi and D. J. Kleitman proved that if an integer weight is assigned to each edge of a complete graph on p + 1 vertices, then some spanning tree has total weight divisible by p. We obtain a simpler proof by generalizing the result to hypergraphs.

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U2 - 10.1016/0097-3165(91)90063-M

DO - 10.1016/0097-3165(91)90063-M

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JO - Journal of Combinatorial Theory, Series A

JF - Journal of Combinatorial Theory, Series A

IS - 2

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A simpler proof and a generalization of the zero-trees theorem

Abstract

All Science Journal Classification (ASJC) codes

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