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» On Planar Path Transformation
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IWOCA
2010
Springer
240views Algorithms» more  IWOCA 2010»
14 years 6 months ago
Path-Based Supports for Hypergraphs
A path-based support of a hypergraph H is a graph with the same vertex set as H in which each hyperedge induces a Hamiltonian subgraph. While it is NP-complete to compute a path-ba...
Ulrik Brandes, Sabine Cornelsen, Barbara Pampel, A...
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
SODA
2010
ACM
205views Algorithms» more  SODA 2010»
15 years 9 months ago
Maximum Flows and Parametric Shortest Paths in Planar Graphs
We observe that the classical maximum flow problem in any directed planar graph G can be reformulated as a parametric shortest path problem in the oriented dual graph G . This ref...
Jeff Erickson
98
Voted
ISAAC
2009
Springer
113views Algorithms» more  ISAAC 2009»
15 years 4 months ago
On Shortest Disjoint Paths in Planar Graphs
For a graph G and a collection of vertex pairs {(s1, t1), . . . , (sk, tk)}, the k disjoint paths problem is to find k vertex-disjoint paths P1, . . . , Pk, where Pi is a path fr...
Yusuke Kobayashi, Christian Sommer 0002
111
Voted
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