Ramsey minimal graphs
نویسندگان
چکیده
As usual, for graphs Γ, G, and H, we write Γ → (G,H) to mean that any red-blue colouring of the edges of Γ contains a red copy of G or a blue copy of H. A pair of graphs (G,H) is said to be Ramsey-infinite if there are infinitely many minimal graphs Γ for which we have Γ → (G,H). Let ` ≥ 4 be an integer. We show that if H is a 2connected graph that does not contain induced cycles of length at least `, then the pair (C,H) is Ramseyinfinite for any k ≥ `, where C denotes the cycle of length k.
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ورودعنوان ژورنال:
- J. Braz. Comp. Soc.
دوره 7 شماره
صفحات -
تاریخ انتشار 2001