High degree graphs contain large-star factors

Noga Alon; Nicholas Wormald

doi:10.1007/978-3-642-13580-4_1

High degree graphs contain large-star factors

Noga Alon, Nicholas Wormald

School of Computer Science

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

10 Scopus citations

Abstract

We show that any finite simple graph with minimum degree d contains a spanning star forest in which every connected component is of size at least Ω((d/log d)^1/3). This settles a problem of Havet, Klazar, Kratochvil, Kratsch and Liedloff.

Original language	English
Title of host publication	Fete of Combinatorics and Computer Science
Pages	9-21
Number of pages	13
DOIs	https://doi.org/10.1007/978-3-642-13580-4_1
State	Published - 2010
Event	Meeting on Fete of Combinatorics and Computer Science - Keszthely, Hungary Duration: 11 Aug 2008 → 15 Aug 2008

Publication series

Name	Bolyai Society Mathematical Studies
Volume	20
ISSN (Print)	1217-4696
ISSN (Electronic)	1217-4696

Conference

Conference	Meeting on Fete of Combinatorics and Computer Science
Country/Territory	Hungary
City	Keszthely
Period	11/08/08 → 15/08/08

Funding

Funders	Funder number
European Commission
Seventh Framework Programme	226718

Access to Document

10.1007/978-3-642-13580-4_1

Cite this

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title = "High degree graphs contain large-star factors",

abstract = "We show that any finite simple graph with minimum degree d contains a spanning star forest in which every connected component is of size at least Ω((d/log d)1/3). This settles a problem of Havet, Klazar, Kratochvil, Kratsch and Liedloff.",

author = "Noga Alon and Nicholas Wormald",

year = "2010",

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AB - We show that any finite simple graph with minimum degree d contains a spanning star forest in which every connected component is of size at least Ω((d/log d)1/3). This settles a problem of Havet, Klazar, Kratochvil, Kratsch and Liedloff.

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High degree graphs contain large-star factors

Abstract

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