Optimal packings of Hamilton cycles in sparse random graphs

Michael Krivelevich; Wojciech Samotij

doi:10.1137/110849171

Optimal packings of Hamilton cycles in sparse random graphs

School of Mathematical Sciences

Tel Aviv University

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

Abstract

We prove that there exists a positive constant ε such that if log n/n ≤ p ≤ n ^-1+ε, then asymptotically almost surely the random graph G ∼ G(n, p) contains a collection of ⌊δ(G)/2⌋ edge-disjoint Hamilton cycles.

Original language	English GB
Pages (from-to)	964-982
Number of pages	19
Journal	SIAM Journal on Discrete Mathematics
Volume	26
Issue number	3
DOIs	https://doi.org/10.1137/110849171
State	Published - 2012

Keywords

Hamilton cycle
Packing
Random graph

ASJC Scopus subject areas

General Mathematics

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10.1137/110849171

Cite this

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title = "Optimal packings of Hamilton cycles in sparse random graphs",

abstract = "We prove that there exists a positive constant ε such that if log n/n ≤ p ≤ n -1+ε, then asymptotically almost surely the random graph G ∼ G(n, p) contains a collection of ⌊δ(G)/2⌋ edge-disjoint Hamilton cycles.",

keywords = "Hamilton cycle, Packing, Random graph",

author = "Michael Krivelevich and Wojciech Samotij",

year = "2012",

doi = "10.1137/110849171",

language = "الإنجليزيّة",

volume = "26",

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journal = "SIAM Journal on Discrete Mathematics",

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publisher = "Society for Industrial and Applied Mathematics Publications",

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T1 - Optimal packings of Hamilton cycles in sparse random graphs

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AU - Samotij, Wojciech

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AB - We prove that there exists a positive constant ε such that if log n/n ≤ p ≤ n -1+ε, then asymptotically almost surely the random graph G ∼ G(n, p) contains a collection of ⌊δ(G)/2⌋ edge-disjoint Hamilton cycles.

KW - Hamilton cycle

KW - Packing

KW - Random graph

UR - https://www.scopus.com/pages/publications/84867318119

U2 - 10.1137/110849171

DO - 10.1137/110849171

M3 - مقالة

SN - 0895-4801

VL - 26

SP - 964

EP - 982

JO - SIAM Journal on Discrete Mathematics

JF - SIAM Journal on Discrete Mathematics

IS - 3

ER -

Optimal packings of Hamilton cycles in sparse random graphs

Abstract

Keywords

ASJC Scopus subject areas

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