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» Path Algorithms on Regular Graphs
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ISAAC
2009
Springer
113views Algorithms» more  ISAAC 2009»
14 years 3 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
CORR
2008
Springer
74views Education» more  CORR 2008»
13 years 11 months ago
Shortest Vertex-Disjoint Two-Face Paths in Planar Graphs
Abstract. Let G be a directed planar graph of complexity n, each arc having a nonnegative length. Let s and t be two distinct faces of G; let s1, . . . , sk be vertices incident wi...
Éric Colin de Verdière, Alexander Sc...
TVCG
2008
138views more  TVCG 2008»
13 years 11 months ago
Real-Time Path Planning in Dynamic Virtual Environments Using Multiagent Navigation Graphs
We present a novel approach for efficient path planning and navigation of multiple virtual agents in complex dynamic scenes. We introduce a new data structure, Multiagent Navigatio...
Avneesh Sud, Erik Andersen, Sean Curtis, Ming C. L...
FOCS
1995
IEEE
14 years 2 months ago
Disjoint Paths in Densely Embedded Graphs
We consider the following maximum disjoint paths problem (mdpp). We are given a large network, and pairs of nodes that wish to communicate over paths through the network — the g...
Jon M. Kleinberg, Éva Tardos
EDBT
2008
ACM
150views Database» more  EDBT 2008»
14 years 11 months ago
Finding time-dependent shortest paths over large graphs
The spatial and temporal databases have been studied widely and intensively over years. In this paper, we study how to answer queries of finding the best departure time that minim...
Bolin Ding, Jeffrey Xu Yu, Lu Qin