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SIAMCOMP
2010
172views more  SIAMCOMP 2010»
13 years 4 months ago
More Algorithms for All-Pairs Shortest Paths in Weighted Graphs
In the first part of the paper, we reexamine the all-pairs shortest paths (APSP) problem and present a new algorithm with running time O(n3 log3 log n/ log2 n), which improves all...
Timothy M. Chan
STACS
2010
Springer
14 years 2 months ago
Approximate Shortest Paths Avoiding a Failed Vertex: Optimal Size Data Structures for Unweighted Graphs
Let G = (V, E) be any undirected graph on V vertices and E edges. A path P between any two vertices u, v ∈ V is said to be t-approximate shortest path if its length is at most t ...
Neelesh Khanna, Surender Baswana
TKDE
2002
239views more  TKDE 2002»
13 years 9 months ago
An Efficient Path Computation Model for Hierarchically Structured Topographical Road Maps
In this paper, we have developed a HiTi (Hierarchical MulTi) graph model for structuring large topographical road maps to the minimum cost route computation. The HiTi graph model p...
Sungwon Jung, Sakti Pramanik
ICRA
2007
IEEE
154views Robotics» more  ICRA 2007»
14 years 4 months ago
Minimum Wheel-Rotation Paths for Differential Drive Mobile Robots Among Piecewise Smooth Obstacles
— Computing optimal paths for mobile robots is an interesting and important problem. This paper presents a method to compute the shortest path for a differential-drive mobile rob...
Hamid Reza Chitsaz, Steven M. LaValle
CPM
2008
Springer
149views Combinatorics» more  CPM 2008»
13 years 11 months ago
On Compact Representations of All-Pairs-Shortest-Path-Distance Matrices
Let G be an unweighted and undirected graph of n nodes, and let D be the n
Igor Nitto, Rossano Venturini