English
In this paper, we consider the selective graph coloring problem. Given an integer k ≥ 1
and a graph G = (V, E) with a partition V1, . . . , Vp of V, it consists in deciding whether
there exists a set V∗ in G such that |V∗ ∩ Vi| = 1 for all i ∈ {1, . . . , p}, and such that the
graph induced by V∗ is k-colorable. We investigate the complexity status of this problem
in various classes of graphs.
Faculty
Faculté des sciences économiques et sociales et du management