Tripartite Ramsey numbers for paths
نویسندگان
چکیده
In this article, we study the tripartite Ramsey numbers of paths. We show that in any two-coloring of the edges of the complete tripartite graph K(n, n, n) there is a monochromatic path of length (1− o(1))2n. Since R(P2n+1,P2n+1) = 3n, this means that the length of the longest monochromatic path is about the same when two-colorings of K3n and K(n, n, n) are considered. © 2007 Wiley Periodicals, Inc. J Graph Theory 55: 164–174, 2007 Contract grant sponsor: OTKA (to M.R.); Contract grant numbers: T038198 and T046234; Contract grant sponsor: National Science Foundation (toG.N.S.); Contract grant number: DMS-0456401. Journal of Graph Theory © 2007 Wiley Periodicals, Inc.
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عنوان ژورنال:
- Journal of Graph Theory
دوره 55 شماره
صفحات -
تاریخ انتشار 2007