Hadwiger's conjecture for powers of cycles and their complements

Authors:
Deming Li;Mingju Liu
Affiliations:
Department of Mathematics, Capital Normal University, Beijing 100037, China;LMIB and Department of Mathematics, Beihang University, Beijing 100083, China
Venue:
European Journal of Combinatorics
Year:
2007

Citing 2
Cited 1

Hadwiger's conjecture for line graphs

European Journal of Combinatorics - Special issue: Topological graph theory
Some remarks on Hajós' conjecture

Journal of Combinatorial Theory Series B

Hadwiger's conjecture for proper circular arc graphs

European Journal of Combinatorics

Quantified Score

Hi-index	0.00

Visualization

Abstract

C. Thomassen showed that powers of certain cycles are counterexamples to Hajos' conjecture. We prove that powers of cycles and their complements satisfy Hadwiger's conjecture, that is, every k-chromatic graph has a k-clique as a minor.