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math.CO2010
Ramsey-goodness -- and otherwise
Peter Allen, Graham Brightwell, Jozef Skokan
A celebrated result of Chvátal, Rödl, Szemerédi and Trotter states (in slightly weakened form) that, for every natural number , there is a constant such that, for any conn…
math.CO2010
On the Multi-coloured Ramsey Numbers of Cycles
Tomasz Łuczak, Miklós Simonovits, Jozef Skokan
For a graph and an integer , denotes the smallest integer for which for any edge-colouring of the complete graph by colours there exists a colou…