We study the problem of minimizing the diameter of a graph by adding k shortcut edges, for speeding up communication in an existing network design. We develop constant-factor appro...
In this paper, we present the index-permutation (IP) graph model, and apply it to the systematic development of efficient hierarchical networks. We derive several classes of inter...
We consider the problem of designing a compact communication network that supports efficient routing in an Euclidean plane. Our network design and routing scheme achieves 1+ stret...
A minimum spanning tree (MST) with a small diameter is required in numerous practical situations. It is needed, for example, in distributed mutual exclusion algorithms in order to ...
Given a connected, weighted, undirected graph G and a bound D, the bounded-diameter minimum spanning tree problem seeks a spanning tree on G of lowest weight in which no path betw...