Technical Report CS0840

TR#:CS0840
Class:CS
Title: PARTITIONING A SEQUENCE INTO FEW MONOTONE SUBSEQUENCES.
Authors: R. Bar-Yehuda and S. Fogel
PDFNot Available
Abstract: In this paper we consider the problem of finding sets of long disjoint monotone subsequences of a sequence of n numbers. We give an algorithm that, after O(n \log n) preprocessing time, finds and deletes an increasing subsequence of size k (if it exists) in time O(n+k^2). Using this algorithm, it is possible to partition a sequence of n into 2 \lfloor \sqrt{n} \rfloor monotone subsequences in time O(n^{1.5}). Monotone subsequences have applications in computational geometry for two dimensional simplex range searching and in VLSI for book embedding.
CopyrightThe above paper is copyright by the Technion, Author(s), or others. Please contact the author(s) for more information

Remark: Any link to this technical report should be to this page (http://www.cs.technion.ac.il/users/wwwb/cgi-bin/tr-info.cgi/1994/CS/CS0840), rather than to the URL of the PDF or PS files directly. The latter URLs may change without notice.

To the list of the CS technical reports of 1994
To the main CS technical reports page

Computer science department, Technion