skip to main content

Explore Research Products in the NSF-PAR

  • Home
  • Search Results
  • Page 1 of 1

Search for: All records

Creators/Authors contains: "Nekrich, Yakov"

Note: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher. Some full text articles may not yet be available without a charge during the embargo (administrative interval).
What is a DOI Number?

Some links on this page may take you to non-federal websites. Their policies may differ from this site.

  1. ; ( , Proc. ACM-SIAM Sympos. Discrete Algorithms (SODA))
    Full Text Available 
  2. ; ; ( , Proc. Sympos. Computational Geometry (SoCG))
    Full Text Available 
  3. ; ; ( , Proc. Algorithms and Data Structures Symposium (WADS))
    In this paper we study two geometric data structure problems in the special case when input objects or queries are fat rectangles. We show that in this case a significant improvement compared to the general case can be achieved. We describe data structures that answer two- and three-dimensional orthogonal range reporting queries in the case when the query range is a fat rectangle. Our two-dimensional data structure uses O(n) words and supports queries in O(loglog U + k) time, where n is the number of points in the data structure, U is the size of the universe and k is the number of points in the query range. Our three-dimensional data structure needs O(n log^ε U) words of space and answers queries in O(loglog U + k) time. We also consider the rectangle stabbing problem on a set of three-dimensional fat rectangles. Our data structure uses O(n) space and answers stabbing queries in O(log U loglog U + k) time. 
    more » « less
    Full Text Available 
  4. ; ; ; ; ; ( , International Computing and Combinatorics Conference)
    Full Text Available