Dartboard Arrangements

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dc.contributor.author Cohen, Graeme en_US
dc.contributor.author Tonkes, Elliot en_US
dc.date.accessioned 2010-05-14T07:42:42Z
dc.date.available 2010-05-14T07:42:42Z
dc.date.created 2010-05-14T07:42:42Z en_US
dc.date.issued 2001
dc.date.issued 2001 en_US
dc.identifier 2004004389 en_US
dc.identifier.citation Cohen Graeme and Tonkes Elliot 2001, 'Dartboard Arrangements', NJ Calkin & HS Wilf, vol. 8, no. 2, pp. 1-8. en_US
dc.identifier.issn 1077-8926 en_US
dc.identifier.other C1 en_US
dc.identifier.uri http://hdl.handle.net/10453/6078
dc.description.abstract This note considers possible arrangements of the sectors of a generalised dartboard. The sum of the pth powers of the absolute differences of the numbers on adjacent sectors is introduced as a penalty cost function and a string reversal algorithm is used to determine all arrangements that maximise the penalty, for any p 1. The maximum value of the penalty function for p = 1 is well known in the literature, and has been previously stated without proof for p = 2. We determine it also for p = 3 and p = 4. en_US
dc.publisher NJ Calkin & HS Wilf en_US
dc.relation.isbasedon en_US
dc.title Dartboard Arrangements en_US
dc.parent Electronic Journal of Combinatorics en_US
dc.journal.volume 8 en_US
dc.journal.number 2 en_US
dc.publocation Atlanta, USA en_US
dc.identifier.startpage en_US
dc.identifier.startpage 1 en_US
dc.identifier.endpage en_US
dc.identifier.endpage 8 en_US
dc.cauo.name SCI.Mathematical Sciences en_US
dc.conference Verified OK en_US
dc.for 010000 en_US
dc.personcode 984186 en_US
dc.personcode 0000024205 en_US
dc.percentage 100 en_US
dc.classification.name Mathematical Sciences en_US
dc.classification.type FOR-08 en_US


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