Generalizing OOOOOOB

We present three versions of the classic two-pile game one-or-one-or-one-of-both generalized to the multi-pile context.In each case, we explore the resulting P-positions.In the first version, there is a simple pattern.In the other two versions, we find partial solutions in each case through two experimental routes.We first limit the number of piles and then limit the number of tokens per pile.

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Publication Details

Journal
Discrete Mathematics Letters
Published
2026-10-27
DOI
https://doi.org/10.47443/dml.2026.142
Primary Topic
Advanced Combinatorial Mathematics
Type
article
Field-Weighted Citation Impact
0.00
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article

Generalizing OOOOOOB

Thotsaporn Thanatipanonda, Alon Danai, Paul Ellis
Discrete Mathematics Letters
Advanced Combinatorial Mathematics
article

Generalizing OOOOOOB

Thotsaporn Thanatipanonda, Alon Danai, Paul Ellis
article en

Abstract

We present three versions of the classic two-pile game one-or-one-or-one-of-both generalized to the multi-pile context.In each case, we explore the resulting P-positions.In the first version, there is a simple pattern.In the other two versions, we find partial solutions in each case through two experimental routes.We first limit the number of piles and then limit the number of tokens per pile.

Discrete Mathematics LettersVol. 18
Rutgers, The State University of New Jersey (US), Mahidol University (TH)
Openalex Percentile: Top 46%
Advanced Combinatorial Mathematics
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Generalizing OOOOOOB — Thotsaporn Thanatipanonda, Alon Danai, et al. · Discrete Mathematics Letters (2026) | TGRS Research Map | TGRS