A lower bound for approximating grundy numbering

The grundy numbering of a graph is the maximum number of colors used by on-line first-fit coloring, under the worst order of arrival of vertices. The grundy numbering problem is to find this ordering. We prove that there is a constant c>1 so that approximating the grundy numbering proble...

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Bibliographic Details
Main Author: Guy Kortsarz
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2007-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Online Access:http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/625