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JALC
2002
97views more  JALC 2002»
13 years 8 months ago
Semiring Frameworks and Algorithms for Shortest-Distance Problems
We define general algebraic frameworks for shortest-distance problems based on the structure of semirings. We give a generic algorithm for finding single-source shortest distances...
Mehryar Mohri
SIAMCOMP
2010
133views more  SIAMCOMP 2010»
13 years 7 months ago
Faster Algorithms for All-pairs Approximate Shortest Paths in Undirected Graphs
Let G = (V, E) be a weighted undirected graph having non-negative edge weights. An estimate ˆδ(u, v) of the actual distance δ(u, v) between u, v ∈ V is said to be of stretch t...
Surender Baswana, Telikepalli Kavitha
COCOON
2001
Springer
14 years 1 months ago
A Space Saving Trick for Directed Dynamic Transitive Closure and Shortest Path Algorithms
We present a simple space saving trick that applies to many previous algorithms for transitive closure and shortest paths in dynamic directed graphs. In these problems, an update c...
Valerie King, Mikkel Thorup
DCG
2010
289views more  DCG 2010»
13 years 8 months ago
Algorithms for Approximate Shortest Path Queries on Weighted Polyhedral Surfaces
We consider the well known geometric problem of determining shortest paths between pairs of points on a polyhedral surface P, where P consists of triangular faces with positive we...
Lyudmil Aleksandrov, Hristo Djidjev, Hua Guo, Anil...
ICALP
1995
Springer
14 years 5 days ago
Shortest Path Queries in Digraphs of Small Treewidth
We consider the problem of preprocessing an n-vertex digraph with real edge weights so that subsequent queries for the shortest path or distance between any two vertices can be efï...
Shiva Chaudhuri, Christos D. Zaroliagis