## Kortsarz, Guy - A lower bound for approximating the Grundy number

dmtcs:391 - Discrete Mathematics & Theoretical Computer Science, January 1, 2007, Vol. 9 no. 1
A lower bound for approximating the Grundy number

Authors: Kortsarz, Guy

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 problem within c is not possible, unless NP ⊆ RP

Volume: Vol. 9 no. 1
Section: Graph and Algorithms
Published on: January 1, 2007
Submitted on: March 26, 2015
Keywords: [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]