Title
Dynamic planar point location with sub-logarithmic local updates
Abstract
We study planar point location in a collection of disjoint fat regions, and investigate the complexity of local updates: replacing any region by a different region that is "similar" to the original region. (i.e., the size differs by at most a constant factor, and distance between the two regions is a constant times that size).We show that it is possible to create a linear size data structure that allows for insertions, deletions, and queries in logarithmic time, and allows for local updates in sub-logarithmic time on a pointer machine. We also give results parameterized by the fatness and similarity of the objects considered.
Year
DOI
Venue
2013
10.1007/978-3-642-40104-6_43
workshop on algorithms and data structures
Keywords
DocType
Volume
logarithmic time,constant factor,planar point location,sub-logarithmic time,different region,dynamic planar point location,linear size data structure,disjoint fat region,constant time,local updates,sub-logarithmic local updates,original region
Conference
abs/1204.4714
Citations 
PageRank 
References 
3
0.59
33
Authors
3
Name
Order
Citations
PageRank
Maarten Löffler155162.87
Joseph A. Simons2133.27
Darren Strash323817.72