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JDA
2006
184views more  JDA 2006»
13 years 4 months ago
Dynamic shortest paths and transitive closure: Algorithmic techniques and data structures
In this paper, we survey fully dynamic algorithms for path problems on general directed graphs. In particular, we consider two fundamental problems: dynamic transitive closure and...
Camil Demetrescu, Giuseppe F. Italiano
COCOON
2001
Springer
13 years 9 months ago
A Space Saving Trick for Directed Dynamic Transitive Closure and Shortest Path Algorithms
We present a simple space saving trick that applies to many previous algorithms for transitive closure and shortest paths in dynamic directed graphs. In these problems, an update c...
Valerie King, Mikkel Thorup
FCT
1995
Springer
13 years 8 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. ...
MICS
2008
72views more  MICS 2008»
13 years 4 months ago
Dynamic Multi-level Overlay Graphs for Shortest Paths
Multi-level overlay graphs represent a speed-up technique for shortest paths computation which is based on a hierarchical decomposition of a weighted directed graph G. They have b...
Francesco Bruera, Serafino Cicerone, Gianlorenzo D...
COMPGEOM
2006
ACM
13 years 11 months ago
An optimal-time algorithm for shortest paths on a convex polytope in three dimensions
We present an optimal-time algorithm for computing (an implicit representation of) the shortest-path map from a fixed source s on the surface of a convex polytope P in three dime...
Yevgeny Schreiber, Micha Sharir