arxiv: 1507.08707 · v1 · pith:CY2DXVIDnew · submitted 2015-07-30 · 🧮 math.CO · cs.GT

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

Adam Jobson , Levi Sledd , Susan C. White , D. Jacob Wildstrom This is my paper

classification 🧮 math.CO cs.GT

keywords closeddots-and-boxesdots-and-trianglestimesconjectureevenfirstfirst-player

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

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

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