Abstract

AbstractHere improving on our earlier results, we prove that there exists an n0 such that for n⩾n0 in every 2‐coloring of the edges of K there is a monochromatic Hamiltonian 3‐tight Berge cycle. This proves the c=2, t=3, r=4 special case of a conjecture from (P. Dorbec, S. Gravier, and G. N. Sárközy, J Graph Theory 59 (2008), 34–44). © 2009 Wiley Periodicals, Inc. J Graph Theory 63: 288–299, 2010

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