Coloring uniform hypergraphs with few colors

نویسنده

  • Alexandr V. Kostochka
چکیده

Let m(r, k) denote the minimum number of edges in an r-uniform hypergraph that is not k-colorable. We give a new lower bound on m(r, k) for fixed k and large r. Namely, we prove that if k 2, then m(r, k) (k)k(r/ln r) . © 2003 Wiley Periodicals, Inc. Random Struct. Alg., 24: 1–10, 2004

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عنوان ژورنال:
  • Random Struct. Algorithms

دوره 24  شماره 

صفحات  -

تاریخ انتشار 2004