Let G(V, E) be a weighted, undirected, connected simple graph with n vertices and m edges. The k most vital edge problem with respect to minimum spanning trees is to find a set S o...
We give tight bounds on the parallel complexity of some problems involving random graphs. Speci cally, we show that a Hamiltonian cycle, a breadth rst spanning tree, and a maximal...
Abstract. We consider bicriteria optimization problems and investigate the relationship between two standard approaches to solving them: (i) computing the Pareto curve and (ii) the...
The bounded diameter minimum spanning tree problem is an NP-hard combinatorial optimization problem arising, for example, in network design when quality of service is of concern. ...
The Blob Code is a bijective tree code that represents each tree on n labelled vertices as a string of n − 2 vertex labels. In recent years, several researchers have deployed th...