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math.CO2016★ 5 cited
Colourings without monochromatic disjoint pairs
Dennis Clemens, Shagnik Das, Tuan Tran
The typical extremal problem asks how large a structure can be without containing a forbidden substructure. The Erdős-Rothschild problem, introduced in 1974 by Erdős and Rothschild…
math.CO2016
How fast can Maker win in fair biased games?
Dennis Clemens, Mirjana Mikalački
We study (a:a) Maker-Breaker games played on the edge set of the complete graph on n vertices. In the following four games - perfect matching game, Hamilton cycle game, star factor…