Cycles of given size in a dense graph

Daniel John Harvey; David Wood

doi:10.1137/15M100852X

Cycles of given size in a dense graph

Daniel John Harvey, David Wood

School of Mathematics

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

4 Citations (Scopus)

Abstract

We generalize a result of Corr´adi and Hajnal and show that every graph with average degree at least 4 3 kr contains k vertex disjoint cycles, each of order at least r, as long as k ≥ 6. This bound is sharp when r = 3.

Original language	English
Pages (from-to)	2336-2349
Number of pages	14
Journal	SIAM Journal on Discrete Mathematics
Volume	29
Issue number	4
DOIs	https://doi.org/10.1137/15M100852X
Publication status	Published - 2015

Keywords

cycles
graph minors
average degree

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10.1137/15M100852X

RM sElocation

1 Finished

Hadwiger's graph colouring conjecture
Wood, D. & Zhou, S.
Australian Research Council (ARC), University of Melbourne
1/01/12 → 30/04/15
Project: Research

Cite this

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KW - average degree

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JO - SIAM Journal on Discrete Mathematics

JF - SIAM Journal on Discrete Mathematics

SN - 0895-4801

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Cycles of given size in a dense graph

Abstract

Keywords

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Projects

Hadwiger's graph colouring conjecture

Cite this