m,n,k-game

GPTKB entity

Statements (22)
Predicate Object
gptkbp:instanceOf gptkb:strategy
gptkbp:category gptkb:board_game
gptkbp:field gptkb:mathematics
game theory
gptkbp:firstDescribed 1950s
gptkbp:generalizes gptkb:tic-tac-toe
gptkbp:goal to place k of one's marks in a row on an m by n board
gptkbp:hasSpecialCase gptkb:Qubic
gptkb:Gomoku
gptkb:Connect_Four
https://www.w3.org/2000/01/rdf-schema#label m,n,k-game
gptkbp:inventedBy gptkb:Harold_W._Kuhn
gptkbp:movement alternating turns
gptkbp:numberOfPlayers 2
gptkbp:relatedTo combinatorial game theory
gptkbp:size rectangular grid
gptkbp:solvedBy small values of m, n, k
gptkbp:winCondition k consecutive marks diagonally
k consecutive marks horizontally
k consecutive marks vertically
gptkbp:bfsParent gptkb:Generalized_Gomoku
gptkbp:bfsLayer 6