Title
I/O-Efficient Shortest Path Queries in Geometric Spanners
Abstract
We present I/O-efficient algorithms to construct planar Steiner spanners for point sets and sets of polygonal obstacles in the plane, and for constructingthe "dumbbell" spanner of [6] for point sets in higher dimensions. As important ingredients to our algorithms, we present I/O-efficient algorithms to color the vertices of a graph of bounded degree, answer binary search queries on topology buffer trees, and preprocess a rooted tree for answeringprioritized ancestor queries.
Year
DOI
Venue
2001
10.1007/3-540-44634-6_27
WADS
Keywords
Field
DocType
bounded degree,polygonal obstacle,o-efficient shortest path queries,planar steiner spanner,rooted tree,geometric spanners,important ingredient,o-efficient algorithm,point set,answeringprioritized ancestor query,higher dimension,binary search query,binary search,shortest path
Discrete mathematics,Combinatorics,Tree (graph theory),Shortest path problem,Vertex (geometry),Computer science,Steiner tree problem,Spanning tree,Binary search algorithm,Spanner,Binary search tree
Conference
Volume
ISSN
ISBN
2125
0302-9743
3-540-42423-7
Citations 
PageRank 
References 
2
0.36
14
Authors
3
Name
Order
Citations
PageRank
Anil Maheshwari1869104.47
Michiel H. M. Smid255093.58
Norbert Zeh3556.97