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IPL
2008
146views more  IPL 2008»
13 years 8 months ago
A running time analysis of an Ant Colony Optimization algorithm for shortest paths in directed acyclic graphs
In this paper, we prove polynomial running time bounds for an Ant Colony Optimization (ACO) algorithm for the single-destination shortest path problem on directed acyclic graphs. ...
Nattapat Attiratanasunthron, Jittat Fakcharoenphol
ECCC
2007
147views more  ECCC 2007»
13 years 8 months ago
Inapproximability of edge-disjoint paths and low congestion routing on undirected graphs
In the undirected Edge-Disjoint Paths problem with Congestion (EDPwC), we are given an undirected graph with V nodes, a set of terminal pairs and an integer c. The objective is to...
Matthew Andrews, Julia Chuzhoy, Venkatesan Guruswa...
SMC
2010
IEEE
158views Control Systems» more  SMC 2010»
13 years 6 months ago
A study of genetic algorithms for approximating the longest path in generic graphs
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...
CORR
2008
Springer
74views Education» more  CORR 2008»
13 years 8 months ago
Shortest Vertex-Disjoint Two-Face Paths in Planar Graphs
Abstract. Let G be a directed planar graph of complexity n, each arc having a nonnegative length. Let s and t be two distinct faces of G; let s1, . . . , sk be vertices incident wi...
Éric Colin de Verdière, Alexander Sc...
ALGORITHMICA
2011
13 years 3 months ago
All-Pairs Bottleneck Paths in Vertex Weighted Graphs
Let G = (V, E, w) be a directed graph, where w : V → R is an arbitrary weight function defined on its vertices. The bottleneck weight, or the capacity, of a path is the smalles...
Asaf Shapira, Raphael Yuster, Uri Zwick