PreprintCC BY-NC-ND 4.0arXiv
A classification of the Nim-sequences for the two-element subtraction game with a single pass
Abstract
In this paper, we provide a complete description of the preperiods, periodic lengths, and the Grundy-value sequences of two-element subtraction games with a single pass option.
Related
- Minimum-Time Escape from the Conic Field of View of a Reeds-Shepp Pursuer: Classification and Game Value for a Slower or Equally Fast Evader
- Matching Multi-Loop Complexities with a Single Loop: Optimal Optimization Stationarity and Best-Known Game Stationarity in Nonconvex--Concave Minimax Optimization
- Formation of grain boundaries in ductile single crystals under plane-strain simple shear: a block-coordinate finite element method
- Infinite Subtraction Games with Periodic Outcomes and Aperiodic SG Values
- Purely Periodic Three-move Subtraction Games
BibTeX
@misc{low2026classification,
title = {{A classification of the Nim-sequences for the two-element subtraction game with a single pass}},
author = {Richard M. Low},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.25829},
eprint = {2610.25829},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.25829},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - A classification of the Nim-sequences for the two-element subtraction game with a single pass
AU - Richard M. Low
PY - 2026
DA - 2026/10/19
PB - arXiv
DO - 10.48550/arxiv.2610.25829
UR - https://arxiv.org/abs/2610.25829
AB - In this paper, we provide a complete description of the preperiods, periodic lengths, and the Grundy-value sequences of two-element subtraction games with a single pass option.
ER -