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126
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APPROX
2009
Springer
125views Algorithms» more  APPROX 2009»
15 years 9 months ago
Minimizing Average Shortest Path Distances via Shortcut Edge Addition
We consider adding k shortcut edges (i.e. edges of small fixed length δ ≥ 0) to a graph so as to minimize the weighted average shortest path distance over all pairs of vertices...
Adam Meyerson, Brian Tagiku
SOFSEM
2009
Springer
15 years 11 months ago
The Shortcut Problem - Complexity and Approximation
During the last years, speed-up techniques for DIJKSTRA’s algorithm have been developed that make the computation of shortest paths a matter of microseconds even on huge road net...
Reinhard Bauer, Gianlorenzo D'Angelo, Daniel Delli...
153
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CORR
2010
Springer
180views Education» more  CORR 2010»
14 years 12 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
STACS
2010
Springer
15 years 9 months ago
Log-space Algorithms for Paths and Matchings in k-trees
Reachability and shortest path problems are NL-complete for general graphs. They are known to be in L for graphs of tree-width 2 [14]. However, for graphs of treewidth larger than ...
Bireswar Das, Samir Datta, Prajakta Nimbhorkar
COCOON
2001
Springer
15 years 7 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