05697846

j

05697846 Wang, Ruixia Yang, Aimin Wang, Shiying Kings in locally semicomplete digraphs. J. Graph Theory 63, No. 4, 279-287 (2010). 2010 John Wiley \& Sons, New York, NY EN locally semicomplete digraphs 2-kings round decomposable digraphs

doi:10.1002/jgt.20426

Summary: A $k$-king in a digraph $D$ is a vertex which can reach every other vertex by a directed path of length at most $k$. We consider $k$-kings in locally semicomplete digraphs and mainly prove that all strong locally semicomplete digraphs which are not round decomposable contain a 2-king.