Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6423598 | Discrete Mathematics | 2011 | 13 Pages |
Abstract
A weakening of Hadwiger's conjecture states that every n-vertex graph with independence number α has a clique minor of size at least nα. Extending ideas of Fox (2010) [6], we prove that such a graph has a clique minor with at least n(2âc)α vertices where c>1/19.2.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
József Balogh, A.V. Kostochka,