Sterling stirling play View Full Text


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Article Info

DATE

2018-05

AUTHORS

Michael Fisher, Richard J. Nowakowski, Carlos Santos

ABSTRACT

In this paper we analyze a recently proposed impartial combinatorial ruleset that is played on a permutation of the set n. We call this ruleset Stirling Shave. A procedure utilizing the ordinal sum operation is given to determine the nim value of a given normal play position. Additionally, we enumerate the number of permutations of n which are P-positions. The formula given involves the Stirling numbers of the first-kind. We also give a complete analysis of the Misère version of Stirling Shave using Conway’s genus theory. An interesting by-product of this analysis is insight into how the ordinal sum operation behaves in Misère Play. More... »

PAGES

557-576

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00182-017-0598-2

DOI

http://dx.doi.org/10.1007/s00182-017-0598-2

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1092440699


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