Powers of paths in tournaments
In this short note we prove that every tournament contains the k-th power of a directed path of linear length. This improves upon recent results of Yuster and of Girão. We also give a complete solution for this problem when k = 2, showing that there is always a square of a directed path of length [2...
Hlavní autoři: | Draganić, N, Dross, F, Fox, J, Girão, A, Havet, F, Korándi, D, Lochet, W, Correia, DM, Scott, A, Sudakov, B |
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Médium: | Journal article |
Jazyk: | English |
Vydáno: |
Cambridge University Press
2021
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