Eden Chlamtac

Senior Academic

New approximation guarantee for chromatic number

Sanjeev Arora, Eden Chlamtac, Moses Charikar

We describe how to color every 3-colorable graph with O(n0.2111) colors, thus improving an algorithm of Blum and Karger from almost a decade ago. Our analysis uses new geometric ideas inspired by the recent work of Arora, Rao, and Vazirani on SPARSEST CUT, and these ideas show promise of leading to further improvements.

Publication language English
Pages 215-224
Publication status Published - 01.01.2006

Keywords

Approximation algorithms
Chromatic number
Graph coloring
Semidefinite programming

ASJC Scopus subject areas

Software
Access to Document
10.1145/1132516.1132548
Other files and links
Link to publication in Scopus