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ALGORITHMICA
2011
13 years 2 months ago
On Bounded Leg Shortest Paths Problems
Let V be a set of points in a d-dimensional lp-metric space. Let s, t ∈ V and let L be any real number. An L-bounded leg path from s to t is an ordered set of points which conne...
Liam Roditty, Michael Segal
ACSC
2007
IEEE
14 years 1 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
STOC
2009
ACM
155views Algorithms» more  STOC 2009»
14 years 8 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
APPROX
2009
Springer
125views Algorithms» more  APPROX 2009»
14 years 2 months ago
Minimizing Average Shortest Path Distances via Shortcut Edge Addition
We consider adding k shortcut edges (i.e. edges of small fixed length δ ≥ 0) to a graph so as to minimize the weighted average shortest path distance over all pairs of vertices...
Adam Meyerson, Brian Tagiku
IPL
2010
247views more  IPL 2010»
13 years 6 months ago
The Floyd-Warshall algorithm on graphs with negative cycles
The Floyd-Warshall algorithm is a simple and widely used algorithm to compute shortest paths between all pairs of vertices in an edge weighted directed graph. It can also be used ...
Stefan Hougardy