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...

Full description

Bibliographic Details
Main Authors: Draganić, N, Dross, F, Fox, J, Girão, A, Havet, F, Korándi, D, Lochet, W, Correia, DM, Scott, A, Sudakov, B
Format: Journal article
Language:English
Published: Cambridge University Press 2021