activity
20122025
most citedAbsolute Combinatorial Game Theory

10 citations · 28 across the 31 of their papers we have counts for

collaborators
Showing 2020Show all

8 papers · 1 filter

math.CO2020

Ordinal Sums, Clockwise Hackenbush, and Domino Shave

Alda Carvalho, Melissa A. Huggan, Richard J. Nowakowski +1

We present two rulesets, Domino Shave and Clockwise Hackenbush. The first is somehow natural and, as special cases, includes Stirling Shave and Hetyei's Bernoulli game. Clockwise H…

math.CO2020

Complete Graphs and Polyominoes

Todd Mullen, Richard Nowakowski, Danielle Cox

In the chip-firing variant, Diffusion, chips flow from places of high concentration to places of low concentration (or equivalently, from the rich to the poor). We explore this mod…

math.CO2020

Counting Path Configurations in Parallel Diffusion

Todd Mullen, Richard Nowakowski, Danielle Cox

Parallel Diffusion is a variant of Chip-Firing introduced in 2018 by Duffy et al. In Parallel Diffusion, chips move from places of high concentration to places of low concentration…

math.CO2020

Atomic weights and the combinatorial game of Bipass

Urban Larsson, Richard J. Nowakowski

We define an all-small ruleset, Bipass, within the framework of normal-play combinatorial games. A game is played on finite strips of black and white stones. Stones of different co…

math.CO2020

Cops and an Insightful Robber

Melissa A. Huggan, Richard J. Nowakowski

The 'Cheating Robot' version of Cops and Robbers is played on a finite, simple, connected graph. The players move in the same time period. However, before moving, the robot observe…

math.CO2020

Cheating Robot Games: A model for insider information

Melissa A. Huggan, Richard J. Nowakowski

Combinatorial games are two-player games of pure strategy where the players, usually called Left and Right, move alternately. In this paper, we introduce Cheating Robot games. Thes…

math.CO2020

Invertible Elements of the Misere Dicotic Universe

Michael Fisher, Richard Nowakowski, Carlos Pereira Dos Santos

We present a characterization of the invertible elements of the misere dicotic universe.

math.CO2020

Diffusion: Quiescence and Perturbation

Danielle Cox, Todd Mullen, Richard Nowakowski

Originally proposed by Duffy et al., Diffusion is a variant of chip-firing in which chips from flow from places of high concentration to places of low concentration. In the variant…