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math.CO2020
A Note on Powers of Paths in Tournaments
Nemanja Draganić, David Munhá Correia, Benny Sudakov
In this note we show that every tournament on vertices contains the -th power of a directed path of length , which improves upon the recent bound of Scott and Ko…
math.CO2020
Powers of paths in tournaments
Nemanja Draganić, François Dross, Jacob Fox +7
In this short note we prove that every tournament contains the -th power of a directed path of linear length. This improves upon recent results of Yuster and of Girão. We also g…
math.CO2020★ 2 cited
Full rainbow matchings in equivalence relations
David Munhá Correia, Liana Yepremyan
We show that if a multigraph with maximum edge-multiplicity of at most , is edge-coloured by colours such that each colour class is a disjoint un…