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Domineering games with minimal number of moves

2020/05/06 by Rohan Karthikeyan, Karthikeyan, Rohan, Siddharth Sinha +1
Computer Science · Economics, Econometrics and Finance · Social Sciences · #05C57 (Secondary) #91A46 (Primary) 05C30 #Artificial Intelligence in Games #Combinatorics (math.CO) #Digital Games and Media #FOS: Mathematics #Sports Analytics and Performance

paper · pdf · doi:10.48550/arxiv.2005.02796

openalex publication_date 2020/05/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Domineering is a two-player game played on a checkerboard in which one player places dominoes vertically, while the other places them horizontally. In this paper, we find out the minimum number of moves for a game of Domineering to end on several rectangular m × n boards. We also formulate two problems pertaining to patterns found in the obtained results.

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