A matroid analogue of a theorem of Brooks for graphs

نویسنده

  • James G. Oxley
چکیده

Brooks proved that the chromatic number of a loopless connected graph G is at most the maximum degree of G unless G is an odd cycle or a clique. This note proves an analogue of this theorem for GF (p)-representable matroids when p is prime, thereby verifying a natural generalization of a conjecture of Peter Nelson.

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عنوان ژورنال:
  • Eur. J. Comb.

دوره 53  شماره 

صفحات  -

تاریخ انتشار 2016