Title
Finding Shortest Paths With Computational Geometry
Abstract
We present a heuristic search algorithm for the Rd Manhattan shortest path problem that achieves front-to-front bidirectionality in subquadratic time. In the study of bidirectional search algorithms, front-to-front heuris- tic computations were thought to be prohibitively expensive (at least quadratic time complexity); our algorithm runs in O(nlogd n )t ime and O(nlogd−1 n) space, where n is the number of visited vertices. We achieve this result by embedding the problem in Rd+1 and identifying heuristic calculations as instances of a dynamic closest-point problem, to which we then apply methods from computational geometry.
Year
Venue
Keywords
2003
J. Graph Algorithms Appl.
heuristic search,shortest path,time complexity,computational geometry,search algorithm,shortest path problem
Field
DocType
Volume
Discrete mathematics,Combinatorics,Shortest path problem,Yen's algorithm,Bidirectional search,Shortest Path Faster Algorithm,Time complexity,Mathematics,Consistent heuristic,K shortest path routing,Euclidean shortest path
Journal
7
Issue
Citations 
PageRank 
3
0
0.34
References 
Authors
8
1
Name
Order
Citations
PageRank
Po-Shen Loh113318.68