Add to ORKGSubtraction games are a type of mathematical game in which players take turns removing a set number of objects from a pile until there are no more moves remaining. The last person to remove objects wins. Subtraction games have been proven by game theorists to be periodic. In this research, we combine programming skills and game theory to investigate patterns in the periods of subtraction games
Subtraction games are a class of impartial combinatorial games whose positions cor-respond to nonneg...
AbstractLet T be the collection of n-tuples of nonnegative integers, and S⊂T. In a “take-away game o...
An invariant subtraction game is a 2-player impartial game defined by a set of invariant moves (k-tu...
We discuss the structure of periods in subtraction games. In particular, we discuss ways that a comp...
International audienceThe present paper deals with connected subtraction games in graphs, which are ...
International audienceThe present paper deals with connected subtraction games in graphs, which are ...
International audienceThe present paper deals with connected subtraction games in graphs, which are ...
International audienceThe present paper deals with connected subtraction games in graphs, which are ...
AbstractWe provide a winning strategy for sums of games of Mark-t, an impartial game played on nonne...
AbstractWe define an infinite class of 2-pile subtraction games, where the amount that can be subtra...
The solutions of certain combinatorial games are of a particularly nice form. For the games we shall...
We define an infinite class of 2-pile subtraction games, where the amount that can be subtracted fro...
We define an infinite class of 2-pile subtraction games, where the amount that can be subtracted fro...
We define an infinite class of 2-pile subtraction games, where the amount that can be subtracted fro...
Periodic nim sequences produced by subtraction games are interesting because they have distinct patt...
Subtraction games are a class of impartial combinatorial games whose positions cor-respond to nonneg...
AbstractLet T be the collection of n-tuples of nonnegative integers, and S⊂T. In a “take-away game o...
An invariant subtraction game is a 2-player impartial game defined by a set of invariant moves (k-tu...
We discuss the structure of periods in subtraction games. In particular, we discuss ways that a comp...
International audienceThe present paper deals with connected subtraction games in graphs, which are ...
International audienceThe present paper deals with connected subtraction games in graphs, which are ...
International audienceThe present paper deals with connected subtraction games in graphs, which are ...
International audienceThe present paper deals with connected subtraction games in graphs, which are ...
AbstractWe provide a winning strategy for sums of games of Mark-t, an impartial game played on nonne...
AbstractWe define an infinite class of 2-pile subtraction games, where the amount that can be subtra...
The solutions of certain combinatorial games are of a particularly nice form. For the games we shall...
We define an infinite class of 2-pile subtraction games, where the amount that can be subtracted fro...
We define an infinite class of 2-pile subtraction games, where the amount that can be subtracted fro...
We define an infinite class of 2-pile subtraction games, where the amount that can be subtracted fro...
Periodic nim sequences produced by subtraction games are interesting because they have distinct patt...
Subtraction games are a class of impartial combinatorial games whose positions cor-respond to nonneg...
AbstractLet T be the collection of n-tuples of nonnegative integers, and S⊂T. In a “take-away game o...
An invariant subtraction game is a 2-player impartial game defined by a set of invariant moves (k-tu...