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ISAAC
2005
Springer
118views Algorithms» more  ISAAC 2005»
14 years 26 days ago
External Data Structures for Shortest Path Queries on Planar Digraphs
In this paper we present space-query trade-offs for external memory data structures that answer shortest path queries on planar directed graphs. For any S = Ω(N1+ ) and S = O(N2...
Lars Arge, Laura Toma
COCOON
1999
Springer
13 years 11 months ago
An External Memory Data Structure for Shortest Path Queries
We present results related to satisfying shortest path queries on a planar graph stored in external memory. Let N denote the number of vertices in the graph and let sort(N) denote...
David A. Hutchinson, Anil Maheshwari, Norbert Zeh
CORR
2010
Springer
180views Education» more  CORR 2010»
13 years 4 months ago
Shortest path problem in rectangular complexes of global nonpositive curvature
Abstract. CAT(0) metric spaces constitute a far-reaching common generalization of Euclidean and hyperbolic spaces and simple polygons: any two points x and y of a CAT(0) metric spa...
Victor Chepoi, Daniela Maftuleac
ICCV
2007
IEEE
14 years 1 months ago
Fast Matching of Planar Shapes in Sub-cubic Runtime
The matching of planar shapes can be cast as a problem of finding the shortest path through a graph spanned by the two shapes, where the nodes of the graph encode the local simil...
Frank R. Schmidt, Dirk Farin, Daniel Cremers
CORR
1999
Springer
145views Education» more  CORR 1999»
13 years 7 months ago
Subgraph Isomorphism in Planar Graphs and Related Problems
We solve the subgraph isomorphism problem in planar graphs in linear time, for any pattern of constant size. Our results are based on a technique of partitioning the planar graph ...
David Eppstein