# Technical Report CS0840

 TR#: CS0840 Class: CS Title: PARTITIONING A SEQUENCE INTO FEW MONOTONE SUBSEQUENCES. Authors: R. Bar-Yehuda and S. Fogel PDF 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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