We consider graph coloring problems where the cost of a coloring is the sum of the costs of the colors, and the cost of a color is a monotone concave function of the total weight ...
In this article we report on applications and extensions of weighted graph theory in the design and control of communication networks. We model the communication network as a weig...
Let S be a set of n points in IRd and let t > 1 be a real number. A t-spanner for S is a graph having the points of S as its vertices such that for any pair p, q of points ther...
Motivated by a scheduling problem encountered in multicast environments, we study a vertex labelling problem, called Directed Circular Arrangement (DCA), that requires one to fin...
The objective of the demand matching problem is to obtain the subset M of edges which is feasible and where the sum of the profits of each of the edges is maximized. The set M is...