See this document in CiteSeerX!

Several geometric data structures for objects in the plane can be constructed using persistent binary search trees. (I know, I promised I wouldn't do much geometry, but this was sort of irresistible.)  (Make Corrections)  
(a) Describe and analyze a data structure to store a set H of n horizontal...



  Home/Search   Context   Related

 
View or download:
uiuc.edu/~jeffe/teaching/47...hw3sol.ps
Cached:  PS.gz  PS  PDF   Image  Update  Help

From:  uiuc.edu/~jeffe/teaching/...index (more)
(Enter author homepages)

Rate this article: (best)
  Comment on this article  
(Enter summary)

Abstract: ach insertion or deletion crates a new version of T y ; we attach each version to the corresponding leaf in T x . The overall preprocessing time is O(n log n), and the overall space is O(n). To answer a query for point (a; b), we search for a in T x to nd the correct version of T y , and then search that version of T y for the successor of b. The query time in each tree is O(log n), so the overall query time is also O(log n).  (b) Modify the previous data structure to store a set of n... (Update)

Active bibliography (related documents):   More   All
0.1:   Improved Sparsification - Eppstein, Galil, Italiano (1993)   (Correct)
0.1:   Ambivalent Data Structures For Dynamic 2-Edge-Connectivity And .. - Frederickson (1991)   (Correct)
0.1:   Offline Algorithms for Dynamic Minimum Spanning Tree Problems - Eppstein (1994)   (Correct)

Similar documents based on text:   More   All
0.2:   Persistent Linked Structures at Constant Worst-Case Cost - Boroujerdi, Moret   (Correct)
0.2:   Partially Persistent Search Trees with Transcript Operations - Larsen (1999)   (Correct)
0.1:   Multidimensional Membership Queries for Temporal Databases - Lifei Tan University   (Correct)

BibTeX entry:   (Update)

@misc{ describe-several,
  author = "Describe And Analyze",
  title = "Several geometric data structures for objects in the plane can be constructed
    using persistent binary search trees. (I know, I promised I wouldn't do
    much geometry, but this was sort of irresistible.)",
  url = "citeseer.ist.psu.edu/599448.html" }
Citations (may not include all citations):
118   Data structures for on-line updating of minimum spanning tre.. (context) - Frederickson - 1985
54   Ambivalent data structures for dynamic 2-edge-connectivity a.. - Frederickson - 1997
7   smallest spanning trees (context) - Eppstein - 1992

Documents on the same site (http://compgeom.cs.uiuc.edu/~jeffe/teaching/473/index.html):   More
time rebuilding the tree. So the overall expected time for a - Delete Log Log   (Correct)
Kinetic Data Structures - A State of the Art Report - Guibas (1998)   (Correct)
Splay Trees - In This Lecture   (Correct)

Online articles have much greater impact   More about CiteSeer.IST   Add search form to your site   Submit documents   Feedback  

CiteSeer.IST - Copyright Penn State and NEC