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» Shortest Path Queries in Digraphs of Small Treewidth
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ICALP
1995
Springer
13 years 9 months ago
Shortest Path Queries in Digraphs of Small Treewidth
We consider the problem of preprocessing an n-vertex digraph with real edge weights so that subsequent queries for the shortest path or distance between any two vertices can be efï...
Shiva Chaudhuri, Christos D. Zaroliagis
FCT
1995
Springer
13 years 9 months ago
Fast Algorithms for Maintaining Shortest Paths in Outerplanar and Planar Digraphs
Abstract. We present algorithms for maintaining shortest path information in dynamic outerplanar digraphs with sublogarithmic query time. By choosing appropriate parameters we achi...
Hristo Djidjev, Grammati E. Pantziou, Christos D. ...
ISAAC
2005
Springer
118views Algorithms» more  ISAAC 2005»
13 years 11 months 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
NETWORKS
2002
13 years 5 months ago
Superconnected digraphs and graphs with small conditional diameters
The conditional diameter D of a digraph G measures how far apart a pair of vertex sets V1 and V2 can be in such a way that the minimum out-degree and the minimum in-degree of the ...
Camino Balbuena, Josep Fàbrega, Xavier Marc...
STOC
2002
ACM
144views Algorithms» more  STOC 2002»
14 years 5 months ago
Improved decremental algorithms for maintaining transitive closure and all-pairs shortest paths
We present improved algorithms for maintaining transitive closure and all-pairs shortest paths/distances in a digraph under deletion of edges. For the problem of transitive closur...
Surender Baswana, Ramesh Hariharan, Sandeep Sen