Network tomography.
In this paper, we give a generalization of a result of Lovasz from [2].
In this paper, we show that the maximal number of minimal colourings of a graph with vertices and the chromatic number is equal to , and the single graph for which this bound is attained consists of a -clique and isolated vertices.
In this paper we characterize -chromatic graphs without isolated vertices and connected -chromatic graphs having a minimal number of edges.