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On the maximal weight of (p,q)-ary chain partitions with bounded parts

Abstract

17 pagesInternational audienceA (p,q) -ary chain is a special type of chain partition of integers with parts of the form paqb for some fixed integers p and q. In this note, we are interested in the maximal weight of such partitions when their parts are distinct and cannot exceed a given bound m. Characterizing the cases where the greedy choice fails, we prove that this maximal weight is, as a function of m, asymptotically independent of max(p,q), and we provide an efficient algorithm to compute it

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Hal-Diderot

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Last time updated on 14/04/2021

This paper was published in Hal-Diderot.

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