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» On Shortest Disjoint Paths in Planar Graphs
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FOCS
2004
IEEE
15 years 1 months ago
Edge-Disjoint Paths in Planar Graphs
We study the maximum edge-disjoint paths problem in undirected planar graphs: given a graph G and node pairs (demands) s1t1, s2t2, . . ., sktk, the goal is to maximize the number ...
Chandra Chekuri, Sanjeev Khanna, F. Bruce Shepherd
ISAAC
2004
Springer
121views Algorithms» more  ISAAC 2004»
15 years 2 months ago
Approximate Distance Oracles for Graphs with Dense Clusters
Let G be a graph containing N disjoint t-spanners that are inter-connected with M edges. We present an algorithm that constructs a data structure of size O(M2 + n log n) that answ...
Mattias Andersson, Joachim Gudmundsson, Christos L...
ALGORITHMICA
1998
94views more  ALGORITHMICA 1998»
14 years 9 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
98
Voted
CORR
2010
Springer
105views Education» more  CORR 2010»
14 years 9 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