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...
Main Authors: | , , , , , , , , , |
---|---|
格式: | Journal article |
语言: | English |
出版: |
Cambridge University Press
2021
|