Edge-Coloring Cliques with Three Colors on All 4-Cliques

نویسنده

  • Dhruv Mubayi
چکیده

A coloring of the edges of Kn is constructed such that every copy of K4 has at least three colors on its edges. As n → ∞, the number of colors used is eO( √ log n ). This improves upon the previous probabilistic bound of O( √ n ) due to Erdős and Gyárfás.

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عنوان ژورنال:
  • Combinatorica

دوره 18  شماره 

صفحات  -

تاریخ انتشار 1998