Large independent sets in random regular graphs

William Duckworth; Michele Zito

doi:10.1016/j.tcs.2009.08.025

Large independent sets in random regular graphs

William Duckworth, Michele Zito^*

^*Corresponding author for this work

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

10 Citations (Scopus)

Abstract

We present algorithmic lower bounds on the size s_d of the largest independent sets of vertices in random d-regular graphs, for each fixed d ≥ 3. For instance, for d = 3 we prove that, for graphs on n vertices, s_d ≥ 0.43475 n with probability approaching one as n tends to infinity.

Original language	English
Pages (from-to)	5236-5243
Number of pages	8
Journal	Theoretical Computer Science
Volume	410
Issue number	50
DOIs	https://doi.org/10.1016/j.tcs.2009.08.025
Publication status	Published - 17 Nov 2009

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title = "Large independent sets in random regular graphs",

abstract = "We present algorithmic lower bounds on the size sd of the largest independent sets of vertices in random d-regular graphs, for each fixed d ≥ 3. For instance, for d = 3 we prove that, for graphs on n vertices, sd ≥ 0.43475 n with probability approaching one as n tends to infinity.",

keywords = "Approximation algorithms, Independent sets, Random graphs",

author = "William Duckworth and Michele Zito",

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AU - Zito, Michele

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AB - We present algorithmic lower bounds on the size sd of the largest independent sets of vertices in random d-regular graphs, for each fixed d ≥ 3. For instance, for d = 3 we prove that, for graphs on n vertices, sd ≥ 0.43475 n with probability approaching one as n tends to infinity.

KW - Approximation algorithms

KW - Independent sets

KW - Random graphs

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JO - Theoretical Computer Science

JF - Theoretical Computer Science

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Large independent sets in random regular graphs

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