Dec 9, 2023 · The multicolor Ramsey number is the minimum N such that any edge-coloring of by colors contains a monochromatic G in the first k colors or a monochromatic H in ...
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The Ramsey numbers involving bipartite graph B are commonly related to Turán number that is the maximum number of edges in B-free graphs of order N.
Dec 15, 2023 · For graphs G and H, the multicolor Ramsey number r k , 1 ( G , H ) is the minimum N such that any edge-coloring of K N by k + 1 colors ...
Abstract. For graphs G and H, the multicolor Ramsey number rk,1(G, H) is the minimum N such that any edge-coloring of KN by k+1.
A 2-coloring of G is equitable if the sizes of the color classes differ by at most 1. A bipartite graph is equitable if it admits an equitable proper coloring.
Sep 19, 2024 · Let B be a bipartite graph with e x ( N, B ) ∼ c N 2 − α as N → ∞, where c > 0 and 0 < α < 1. We show that r k, p ( B ; K m, n ) can be bounded ...
Dec 6, 2023 · The study of bipartite Ramsey numbers was initiated in the early 1970s by Faudree and Schelp and, independently, by Gyárfás and Lehel. The exact ...
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On multicolor Ramsey numbers for complete bipartite graphs. Author links open overlay panel. Fan R.K Chung ,
Missing: Two Involving
Oct 22, 2024 · Multi-color Ramsey numbers of two bipartite graphs ... Ramsey Numbers Involving an Odd Cycle and Large Complete Graphs in Three Colors.
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Two Multicolor Ramsey Numbers Involving Bipartite Graphs. https://doi.org ... Wang Y., Song Y., Li Y., Liu M.: Multi-color Ramsey numbers of two bipartite graphs.