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math.CO2017
Ramsey equivalence of and for multiple colours
Damian Reding
In 2015 Bloom and Liebenau proved that and possess the same -Ramsey graphs for all (with a single exception for ). In the following we give a…
math.CO2017
A natural generalisation in graph Ramsey theory
Alexander Haupt, Damian Reding
In this note we study graphs with the property that every colouring of with colours admits a copy of some graph using at most colours. For $1\le r\le e…
math.CO2017
The size-Ramsey number of powers of paths
Dennis Clemens, Matthew Jenssen, Yoshiharu Kohayakawa +4
Given graphs and and a positive integer say that is -Ramsey for , denoted , if every -colouring of the edges of contains a monochro…