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math.CO2023
Indecomposable combinatorial games
Michael Fisher, Neil A. McKay, Rebecca Milley +2
In Combinatorial Game Theory, short game forms are defined recursively over all the positions the two players are allowed to move to. A form is decomposable if it can be expressed…
math.CO2017
The Game of Blocking Pebbles
Michael Fisher, Craig Tennenhouse
Graph Pebbling is a well-studied single-player game on graphs. We introduce the game of Blocking Pebbles which adapts Graph Pebbling into a two-player strategy game in order to exa…
math.CO2016
Chromatic Nim finds a game for your solution
Michael Fisher, Urban Larsson
We play a variation of Nim on stacks of tokens. Take your favorite increasing sequence of positive integers and color the tokens according to the following rule. Each token on a le…