Graph products and chromatic numbers

Nati Linial*, Umesh Vazirani

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

26 Scopus citations

Abstract

The problem of computing the chromatic number of a graph is considered. No known approximation algorithm can guarantee a better than O(n0.4) coloring on a three-chromatic graph with n vertices. Evidence is provided that it is inherently impossible to achieve a better than nε ratio in polynomial time by showing that 'breaking the nε barrier' will automatically lead to vastly better polynomial-time approximation algorithms that achieve ratios closer to log n.

Original languageEnglish
Title of host publicationAnnual Symposium on Foundations of Computer Science (Proceedings)
PublisherPubl by IEEE
Pages124-128
Number of pages5
ISBN (Print)0818619821, 9780818619823
DOIs
StatePublished - 1989
Externally publishedYes
Event30th Annual Symposium on Foundations of Computer Science - Research Triangle Park, NC, USA
Duration: 30 Oct 19891 Nov 1989

Publication series

NameAnnual Symposium on Foundations of Computer Science (Proceedings)
ISSN (Print)0272-5428

Conference

Conference30th Annual Symposium on Foundations of Computer Science
CityResearch Triangle Park, NC, USA
Period30/10/891/11/89

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