Subtraction games with three element subtraction sets

Details Subtraction games with three element subtraction sets Subtraction games with three element subtraction sets

2012-02-14

arxiv.org/abs/1202.2986v1

Mathematics

Combinatorics

Scientific paper

We study the periodicity of nim-sequences of subtraction games having
subtraction sets with three elements. In particular, we give solutions in
several cases, and we describe how these subtraction sets can be augmented by
additional numbers without changing the nim-sequence. The paper concludes with
two conjectures.

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