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ACSC
2007
IEEE
13 years 11 months ago
Improved Shortest Path Algorithms For Nearly Acyclic Directed Graphs
This paper presents new algorithms for computing single source shortest paths (SSSPs) in a nearly acyclic directed graph G. The first part introduces higher-order decomposition. ...
Lin Tian, Tadao Takaoka
IPL
2008
146views more  IPL 2008»
13 years 5 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
STOC
2009
ACM
155views Algorithms» more  STOC 2009»
14 years 5 months ago
A nearly optimal oracle for avoiding failed vertices and edges
We present an improved oracle for the distance sensitivity problem. The goal is to preprocess a directed graph G = (V, E) with non-negative edge weights to answer queries of the f...
Aaron Bernstein, David R. Karger
SLS
2009
Springer
250views Algorithms» more  SLS 2009»
13 years 11 months ago
Running Time Analysis of ACO Systems for Shortest Path Problems
Ant Colony Optimization (ACO) is inspired by the ability of ant colonies to find shortest paths between their nest and a food source. We analyze the running time of different ACO...
Christian Horoba, Dirk Sudholt
STACS
2010
Springer
14 years 4 days ago
Log-space Algorithms for Paths and Matchings in k-trees
Reachability and shortest path problems are NL-complete for general graphs. They are known to be in L for graphs of tree-width 2 [14]. However, for graphs of treewidth larger than ...
Bireswar Das, Samir Datta, Prajakta Nimbhorkar