Ramsey equivalence of Kn and Kn + Kn−1

<p>We prove that, for n ≥ 4, the graphs Kn and Kn + Kn−1 are Ramsey equivalent. That is, if G is such that any red-blue colouring of its edges creates a monochromatic Kn then it must also possess a monochromatic Kn + Kn−1. This resolves a conjecture of Szabó, Zumstein, and Zürcher [10].</p&...

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Hlavní autoři: Bloom, TF, Liebenau, A
Médium: Journal article
Jazyk:English
Vydáno: Electronic Journal of Combinatorics 2018