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&...

Popoln opis

Bibliografske podrobnosti
Main Authors: Bloom, TF, Liebenau, A
Format: Journal article
Jezik:English
Izdano: Electronic Journal of Combinatorics 2018