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ALGORITHMICA
1998
94views more  ALGORITHMICA 1998»
14 years 11 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
14 years 6 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
14 years 9 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»
15 years 19 days 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»
14 years 11 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