Universal arcs in tournaments

作者:Bai, Yandong*; Li, Binlong; Li, Hao; He, Weihua
来源:Discrete Mathematics, 2016, 339(8): 2063-2065.
DOI:10.1016/j.disc.2016.02.011

摘要

An arc uv of a digraph D is called universal if uv and w are in a common cycle for any vertex w of D. We show that every arc of a tournament T is universal if and only if T is either 2-connected or has a cut-vertex v such that the in- and out-neighbors of v both induce strongly connected subtournaments.