Mathematics

“Digital deletion” game and related rook game misere

I. S. Frolov

Dept. of Algebra and Geometry, Samara State University, Samara, 443011, Russian Federation

Abstract: In this paper we investigate some properties including ultimate arithmetical periodicity of the function generated with the game “Digital deletion”, and also the inverse function which is the Sprague-Grundy function for the misere form of rook game.

Keywords: “Digital deletion” game, combinatorial games, Sprague–Grundy function, arithmetical periodicity.

UDC: 51-8+519.1

Received: 12.03.2012
Revised: 12.03.2012