3 citations · 5 across the 5 of their papers we have counts for
6 papers
PArcK trees can get as hot as you want
Svenja Huntemann, Neil A. McKay, Craig Tennenhouse
We consider the combinatorial game Partizan Arc Kayles as a generalization of Domineering. An extensive technical search using genetic algorithms found hot positions of temperature…
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…
Ordinal Sums of Numbers
Alexander Clow, Neil McKay
In this paper we consider ordinal sums of combinatorial games where each summand is a number, not necessarily in canonical form. In doing so we give formulas for the value of an or…
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…
Finding Golden Nuggets by Reduction
Urban Larsson, Neil A. McKay, Richard J. Nowakowski +1
We introduce a class of normal play partizan games, called Complementary Subtraction. Let denote your favorite set of positive integers. This is Left's subtraction set, whereas…
Misère-play Hackenbush Sprigs
Neil A. McKay, Rebecca Milley, Richard J. Nowakowski
A Hackenbush Sprig is a Hackenbush String with the ground edge colored green and the remaining edges either red or blue. We show that in canonical form a Sprig is a star-based numb…