2-factors in dense graphs

Noga Alon; Eldar Fischer

doi:10.1016/0012-365X(95)00242-O

2-factors in dense graphs

Noga Alon, Eldar Fischer

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

34 Scopus citations

Abstract

A conjecture of Sauer and Spencer states that any graph G on n vertices with minimum degree at least 2/3 n contains any graph H on n vertices with maximum degree 2 or less. This conjecture is proven here for all sufficiently large n.

Original language	English
Pages (from-to)	13-23
Number of pages	11
Journal	Discrete Mathematics
Volume	152
Issue number	1-3
DOIs	https://doi.org/10.1016/0012-365X(95)00242-O
State	Published - 20 May 1996
Externally published	Yes

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1016/0012-365X(95)00242-O

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title = "2-factors in dense graphs",

abstract = "A conjecture of Sauer and Spencer states that any graph G on n vertices with minimum degree at least 2/3 n contains any graph H on n vertices with maximum degree 2 or less. This conjecture is proven here for all sufficiently large n.",

author = "Noga Alon and Eldar Fischer",

year = "1996",

month = may,

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doi = "10.1016/0012-365X(95)00242-O",

language = "English",

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journal = "Discrete Mathematics",

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AU - Alon, Noga

AU - Fischer, Eldar

PY - 1996/5/20

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N2 - A conjecture of Sauer and Spencer states that any graph G on n vertices with minimum degree at least 2/3 n contains any graph H on n vertices with maximum degree 2 or less. This conjecture is proven here for all sufficiently large n.

AB - A conjecture of Sauer and Spencer states that any graph G on n vertices with minimum degree at least 2/3 n contains any graph H on n vertices with maximum degree 2 or less. This conjecture is proven here for all sufficiently large n.

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DO - 10.1016/0012-365X(95)00242-O

M3 - Article

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SN - 0012-365X

VL - 152

SP - 13

EP - 23

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 1-3

ER -

2-factors in dense graphs

Abstract

ASJC Scopus subject areas

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