We study the partial vertex cover problem. Given a graph G = (V, E), a weight function w : V → R+ , and an integer s, our goal is to cover all but s edges, by picking a set of v...
Abstract. Traditional shortest path problems play a central role in both the design and use of communication networks and have been studied extensively. In this work, we consider a...
A class of relational structures is said to have the extension preservation property if every first-order sentence that is preserved under extensions on the class is equivalent t...
The existence of a language expressing precisely the PTIME queries on arbitrary structures remains the central open problem in the theory of database query languages. As it turns o...
Motivated by optimization problems in sensor coverage, we formulate and study the Minimum-Area Spanning Tree (mast) problem: Given a set P of n points in the plane, find a spannin...