4 papers
The combinatorial game nofil played on Steiner Triple Systems
Melissa A. Huggan, Svenja Huntemann, Brett Stevens
We introduce an impartial combinatorial game on Steiner triple systems called Nofil. Players move alternately, choosing points of the triple system. If a player is forced to fill a…
Counting Domineering Positions
Svenja Huntemann, Neil A. McKay
Domineering is a two player game played on a checkerboard in which one player places dominoes vertically and the other places them horizontally. We give bivariate generating polyno…
Game Values of Strong Placement Games
Svenja Huntemann
The legal positions of a strong placement game, such as Domineering, form a simplicial complex called the legal complex. In this paper, we use the legal complex to study the game v…
Bounding Game Temperature Using Confusion Intervals
Svenja Huntemann, Richard J. Nowakowski, Carlos Pereira dos Santos
For combinatorial games, temperature is a measure of the volatility, that is, by how much the advantage can change. Typically, the temperature has been measured for individual posi…