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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. ISSN 0195-6698
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Official URL: http://dx.doi.org/10.1016/j.ejc.2009.05.002
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. (C) 2009 Elsevier Ltd. All rights reserved.
| 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 |
| Volume: | Vol.31 |
| Number: | No.1 |
| Number of Pages: | 17 |
| Page Range: | pp. 47-63 |
| Identification Number: | 10.1016/j.ejc.2009.05.002 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| URI: | http://wrap.warwick.ac.uk/id/eprint/16943 |
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