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.
Authors
- Thotsaporn Thanatipanonda
- Alon Danai
- Paul Ellis
Institutions
- Rutgers, The State University of New Jersey (US)
- Mahidol University (TH)
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