Title
The K-Gabriel Graphs and Their Applications
Abstract
In this paper, we define and investigate the properties of k-Gabriel graphs and also propose an algorithm to construct the k-Gabriel graph of a points set in O(k 2 nlogn) time. The k-Gabriel graphs are also used to improve the running time of solving the Euclidean bottleneck biconnected edge subgraph problem from O(n 2) to 0(nlogn), and that of solving the Euclidean bottleneck matching problem from O(n 2) to O(n 1.5 log 0.5 n).
Year
DOI
Venue
1990
10.1007/3-540-52921-7_56
SIGAL International Symposium on Algorithms
Keywords
Field
DocType
k-gabriel graph,k-gabriel graphs
Bottleneck,Graph,Combinatorics,Line graph,Computer science,Euclidean geometry
Conference
Volume
ISBN
Citations 
450
3-540-52921-7
20
PageRank 
References 
Authors
2.19
12
2
Name
Order
Citations
PageRank
Tung-Hsin Su1385.09
Ruei-Chuan Chang226756.19