10 citations · 36 across the 43 of their papers we have counts for
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Blocking Wythoff Nim
Urban Larsson
The 2-player impartial game of Wythoff Nim is played on two piles of tokens. A move consists in removing any number of tokens from precisely one of the piles or the same number of…
The -operator and Invariant Subtraction Games
Urban Larsson
We study 2-player impartial games, so called \emph{invariant subtraction games}, of the type, given a set of allowed moves the players take turn in moving one single piece on a lar…
Invariant and dual subtraction games resolving the Duchê-Rigo conjecture
Urban Larsson, Peter Hegarty, Aviezri S. Fraenkel
We prove a recent conjecture of Duchêne and Rigo, stating that every complementary pair of homogeneous Beatty sequences represents the solution to an \emph{invariant} impartial gam…
A Generalized Diagonal Wythoff Nim
Urban Larsson
In this paper we study a family of 2-pile Take Away games, that we denote by Generalized Diagonal Wythoff Nim (GDWN). The story begins with 2-pile Nim whose sets of options and …