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.
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 |
Similar Items
-
Independent sets in graphs with an excluded clique minor
by: David R. Wood
Published: (2007-01-01) -
Algorithmic Aspects of Some Variations of Clique Transversal and Clique Independent Sets on Graphs
by: Chuan-Min Lee
Published: (2021-01-01) -
Fast separation in a graph with an excluded minor
by: Bruce Reed, et al.
Published: (2005-01-01) -
Product structure of graphs with an excluded minor
by: Illingworth, F, et al.
Published: (2024) -
Bounds on the Clique and the Independence Number for Certain Classes of Graphs
by: Valentin E. Brimkov, et al.
Published: (2024-01-01)