English

Variations on Narrow Dots-and-Boxes and Dots-and-Triangles

Combinatorics 2015-08-03 v1 Computer Science and Game Theory

Abstract

We verify a conjecture of Nowakowski and Ottaway that closed 1×n1 \times n Dots-and-Triangles is a first-player win when n2n \neq 2. We also prove that in both the open and closed 1×n1 \times n Dots-and-Boxes games where nn is even, the first player can guarantee a tie.

Keywords

Cite

@article{arxiv.1507.08707,
  title  = {Variations on Narrow Dots-and-Boxes and Dots-and-Triangles},
  author = {Adam Jobson and Levi Sledd and Susan C. White and D. Jacob Wildstrom},
  journal= {arXiv preprint arXiv:1507.08707},
  year   = {2015}
}

Comments

8 pages, 11 figures, 1 table

R2 v1 2026-06-22T10:22:57.128Z