Given a graph G we consider the problem of preprocessing it so that given two vertices x,y and a set X of vertices, we can efficiently report the shortest path (or just its length...
Abstract--Finding the longest simple path in a generic undirected graph is a challenging issue that belongs to the NPComplete class of problems. Four approaches based on genetic al...
David Portugal, Carlos Henggeler Antunes, Rui Roch...
Let G = (V, E) be an undirected multi-graph with a special vertex root ∈ V , and where each edge e ∈ E is endowed with a length l(e) ≥ 0 and a capacity c(e) > 0. For a pa...
A digraph D is strong if it contains a directed path from x to y for every choice of vertices x, y in D. We consider the problem (MSSS) of finding the minimum number of arcs in a ...
Some of the currently best-known approximation algorithms for network design are based on random sampling. One of the key steps of such algorithms is connecting a set of source nod...