vix.ing · top · new · best · stats · spec

The Ordered Join of Impartial Games

2021/04/27 by Gavrilović, Mišo, Thumm, Alexander
#91A46 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2104.13131

Abstract

Inspired by the theory of poset games, we introduce a new compound of impartial combinatorial games and provide a complete analysis in the spirit of the Sprague-Grundy theory. Furthermore, we establish several substitution and reduction principles for this compound and consider its computational aspects.

Related