of the vertex set of G into the fewest number of sets V_1,...V_k
such that each V_i is a union of disjoint cliques. The subchromatic number of a graph is the smallest k for which such a partition exists.
The subcoloring of a graph is a generalization of the classic coloring
problem, where each V_i can be seen as a union of disjoint cliques of size 1. In this talk I will present an approximation algorithm for subcoloring of interval graphs, and give applications of subcolorings.