Independent Sets in Graphs with an Excluded Clique Minor

Let G be a graph with n vertices, with independence number α, and with no K t+1-minor for some t ≥ 5. It is proved that (2α - 1)(2t - 5) ≥ 2n - 5.

Bibliographic Details
Main Author: David R. Wood
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/617