Towards the Albertson Conjecture

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Towards the Albertson Conjecture

Albertson conjectured that if a graph G has chromatic number r, then the crossing number of G is at least as large as the crossing number of Kr, the complete graph on r vertices. Albertson, Cranston, and Fox verified the conjecture for r 6 12. In this paper we prove it for r 6 16. Dedicated to the memory of Michael O. Albertson.

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ژورنال

عنوان ژورنال: The Electronic Journal of Combinatorics

سال: 2010

ISSN: 1077-8926

DOI: 10.37236/345