—The subject of this work is the patrolling of an environment with the aid of a team of autonomous agents. We consider both the design of open-loop trajectories with optimal prop...
Fabio Pasqualetti, Antonio Franchi, Francesco Bull...
—We introduce a new tool for approximation and testing algorithms called partitioning oracles. We develop methods for constructing them for any class of bounded-degree graphs wit...
Avinatan Hassidim, Jonathan A. Kelner, Huy N. Nguy...
Abstract. In this paper we study the existence of a small set T of spanning trees that collectively “1-span” an interval graph G. In particular, for any pair of vertices u, v w...
Derek G. Corneil, Feodor F. Dragan, Ekkehard K&oum...
Abstract. We study the Edge Disjoint Paths (EDP) problem in undirected graphs: Given a graph G with n nodes and a set T of pairs of terminals, connect as many terminal pairs as pos...
In the first part of the paper, we reexamine the all-pairs shortest paths (APSP) problem and present a new algorithm with running time O(n3 log3 log n/ log2 n), which improves all...