Diameter of 4-colourable graphs

نویسندگان

  • Éva Czabarka
  • Peter Dankelmann
  • László A. Székely
چکیده

We prove that for every connected 4-colourable graph G of order n and minimum degree δ ≥ 1, diam(G) ≤ 5n 2δ − 1. This is a first step toward proving a conjecture of Erdős, Pach, Pollack and Tuza [4] from 1989.

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عنوان ژورنال:
  • Eur. J. Comb.

دوره 30  شماره 

صفحات  -

تاریخ انتشار 2009