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ALGORITHMICA
1998
94views more  ALGORITHMICA 1998»
13 years 7 months ago
A Fully Dynamic Approximation Scheme for Shortest Paths in Planar Graphs
In this paper we give a fully dynamic approximation scheme for maintaining all-pairs shortest paths in planar networks. Given an error parameter ε such that 0 < ε, our algorit...
Philip N. Klein, Sairam Subramanian
COLING
2010
13 years 2 months ago
Multi-Sentence Compression: Finding Shortest Paths in Word Graphs
We consider the task of summarizing a cluster of related sentences with a short sentence which we call multi-sentence compression and present a simple approach based on shortest p...
Katja Filippova
CIKM
2010
Springer
13 years 6 months ago
Fast and accurate estimation of shortest paths in large graphs
Computing shortest paths between two given nodes is a fundamental operation over graphs, but known to be nontrivial over large disk-resident instances of graph data. While a numbe...
Andrey Gubichev, Srikanta J. Bedathur, Stephan Seu...
SODA
2007
ACM
131views Algorithms» more  SODA 2007»
13 years 8 months ago
On the K-simple shortest paths problem in weighted directed graphs
We obtain the first approximation algorithm for finding the k-simple shortest paths connecting a pair of vertices in a weighted directed graph. Our algorithm is deterministic an...
Liam Roditty
CORR
2010
Springer
105views Education» more  CORR 2010»
13 years 7 months ago
Exact Shortest Path Queries for Planar Graphs Using Linear Space
We provide the first linear-space data structure with provable sublinear query time for exact point-topoint shortest path queries in planar graphs. We prove that for any planar gr...
Shay Mozes, Christian Sommer