TR#: | CS0840 |
Class: | CS |
Title: | PARTITIONING A SEQUENCE INTO FEW
MONOTONE SUBSEQUENCES. |
Authors: | R. Bar-Yehuda and S. Fogel |
Not 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. |
Copyright | The above paper is copyright by the Technion, Author(s), or others. Please contact the author(s) for more information |
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