10 citations · 36 across the 43 of their papers we have counts for
8 papers · 1 filter
Finding Golden Nuggets by Reduction
Urban Larsson, Neil A. McKay, Richard J. Nowakowski +1
We introduce a class of normal play partizan games, called Complementary Subtraction. Let denote your favorite set of positive integers. This is Left's subtraction set, whereas…
Global Fibonacci Nim
Urban Larsson, Simon Rubinstein-Salzedo
Fibonacci nim is a popular impartial combinatorial game, usually played with a single pile of stones. The game is appealing due to its surprising connections with the Fibonacci num…
A Cellular Automaton for Blocking Queen Games
Matthew Cook, Urban Larsson, Turlough Neary
We show that the winning positions of a certain type of two-player game form interesting patterns which often defy analysis, yet can be computed by a cellular automaton. The game,…
Guaranteed Scoring Games
Urban Larsson, João P. Neto, Richard J. Nowakowski +1
The class of Guaranteed Scoring Games (GS) are two-player combinatorial games with the property that Normal-play games (Conway et. al.) are ordered embedded into GS. They include,…
When waiting moves you in scoring combinatorial games
Urban Larsson, Richard J. Nowakowski, Carlos P. Santos
Combinatorial Scoring games, with the property `extra pass moves for a player does no harm', are characterized. The characterization involves an order embedding of Conway's Normal-…
An Aperiodic Subtraction Game of Nim-dimension Two
Urban Larsson
In a recent arXiv-manuscript Fox studies infinite subtraction games with a finite (ternary) and aperiodic Sprague-Grundy function. Here we provide an elementary example of a game w…