We define the decision problem data arrangement, which involves arranging the vertices of a graph G at the leaves of a d-ary tree so that a weighted sum of the distances between p...
In the strong edge coloring problem, the objective is to color the edges of the given graph with the minimum number of colors so that every color class is an induced matching. In ...
M-convex functions, introduced by Murota (1996, 1998), enjoy various desirable properties as “discrete convex functions.” In this paper, we propose two new polynomial-time sca...
Compound methods have been shown to be very e ective in the construction of broadcast graphs. Compound methods generate a large broadcast graph by combining multiple copies of a b...
Michael J. Dinneen, Jose A. Ventura, Mark C. Wilso...
We consider a search game on a graph in which one cop in a helicopter flying from vertex to vertex tries to catch the invisible robber. The existence of the winning program for th...