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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
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 |
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| Journal or Publication Title: | European Journal of Combinatorics | ||||
| Publisher: | Academic Press | ||||
| ISSN: | 0195-6698 | ||||
| Official Date: | January 2010 | ||||
| Dates: |
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| Date of first compliant deposit: | 8 December 2015 | ||||
| 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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