Oriented graph coloring

Eric Sopena
2001 Discrete Mathematics  
An oriented k-coloring of an oriented graph G (that is a digraph with no cycle of length 2) is a partition of its vertex set into k subsets such that (i) no two adjacent vertices belong to the same subset and (ii) all the arcs between any two subsets have the same direction. We survey the main results that have been obtained on oriented graph colorings.
doi:10.1016/s0012-365x(00)00216-8 fatcat:qozv2mq72fgvlj2aur2lxib2aa