Abstract
Given a sequence A of n real numbers and two positive integers l and k, where \(k \leq \frac{n}{l}\), the problem is to locate k disjoint segments of A, each has length at least l, such that their sum of densities is maximized. The best previously known algorithm, due to Bergkvist and Damaschke [1], runs in O(nl+k 2 l 2) time. In this paper, we give an O(n+k 2 llogl)-time algorithm.
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© 2006 Springer-Verlag Berlin Heidelberg
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Liu, HF., Chao, KM. (2006). On Locating Disjoint Segments with Maximum Sum of Densities. In: Asano, T. (eds) Algorithms and Computation. ISAAC 2006. Lecture Notes in Computer Science, vol 4288. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11940128_31
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DOI: https://doi.org/10.1007/11940128_31
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-49694-6
Online ISBN: 978-3-540-49696-0
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