Towards the Albertson Conjecture

نویسندگان

  • János Barát
  • Géza Tóth
چکیده

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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عنوان ژورنال:
  • Electr. J. Comb.

دوره 17  شماره 

صفحات  -

تاریخ انتشار 2010