The power of many colours

A classical problem, due to Gerencsér and Gyárfás from 1967, asks how large a monochromatic connected component can we guarantee in any r-edge colouring of $K_n$ ? We consider how big a connected component we can guarantee in any r-edge colouring of $K_n$ if we allow ourselves to use up...

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Bibliographic Details
Main Authors: Noga Alon, Matija Bucić, Micha Christoph, Michael Krivelevich
Format: Article
Language:English
Published: Cambridge University Press 2024-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509424001208/type/journal_article