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Combinatorics of the change-making problem

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Adamaszek, Anna and Adamaszek, Michał (2010) Combinatorics of the change-making problem. European Journal of Combinatorics, Vol.31 (No.1). pp. 47-63. doi:10.1016/j.ejc.2009.05.002

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Official URL: http://dx.doi.org/10.1016/j.ejc.2009.05.002

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Abstract

We investigate the structure of the currencies (systems of coins) for which the greedy change-making algorithm always finds an optimal solution (that is, a one with minimum number of coins). We present a series of necessary conditions that must be satisfied by the Values of coins in such systems. We also uncover some relations between such currencies and their sub-currencies.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Computer Science
Faculty of Science > Mathematics
Journal or Publication Title: European Journal of Combinatorics
Publisher: Academic Press
ISSN: 0195-6698
Official Date: January 2010
Dates:
DateEvent
January 2010Published
Volume: Vol.31
Number: No.1
Number of Pages: 17
Page Range: pp. 47-63
DOI: 10.1016/j.ejc.2009.05.002
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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