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...

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Xehetasun bibliografikoak
Egile Nagusiak: Draganić, N, Dross, F, Fox, J, Girão, A, Havet, F, Korándi, D, Lochet, W, Correia, DM, Scott, A, Sudakov, B
Formatua: Journal article
Hizkuntza:English
Argitaratua: Cambridge University Press 2021