37 citations · 38 across the 18 of their papers we have counts for
7 papers · 1 filter
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…
Tic-Tac-Toe on an Affine Plane of order 4
Peter Danziger, Melissa A. Huggan, Rehan Malik +1
The game of tic-tac-toe is well known. In particular, in its classic version it is famous for being unwinnable by either player. While classically it is played on a grid, it is nat…
The localization number and metric dimension of graphs of diameter 2
Anthony Bonato, Melissa A. Huggan, Trent Marbach
We consider the localization number and metric dimension of certain graphs of diameter , focusing on families of Kneser graphs and graphs without 4-cycles. For the Kneser graphs…
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…
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…
The localization number of designs
Anthony Bonato, Melissa A. Huggan, Trent Marbach
We study the localization number of incidence graphs of designs. In the localization game played on a graph, the cops attempt to determine the location of an invisible robber via d…
The Game of Cops and Eternal Robbers
Anthony Bonato, Melissa Huggan, Trent Marbach +1
We introduce the game of Cops and Eternal Robbers played on graphs, where there are infinitely many robbers that appear sequentially over distinct plays of the game. A positive int…