1 citations · 1 across the 7 of their papers we have counts for
14 papers
The localization capture time of a graph
Natalie C. Behague, Anthony Bonato, Melissa A. Huggan +2
The localization game is a pursuit-evasion game analogous to Cops and Robbers, where the robber is invisible and the cops send distance probes in an attempt to identify the locatio…
The combinatorial game nofil played on Steiner Triple Systems
Melissa A. Huggan, Svenja Huntemann, Brett Stevens
We introduce an impartial combinatorial game on Steiner triple systems called Nofil. Players move alternately, choosing points of the triple system. If a player is forced to fill a…
Progress on the localization number of a graph
Anthony Bonato, Melissa A. Huggan, Trent G. Marbach
We highlight new results on the localization number of a graph, a parameter derived from the localization graph searching game. After introducing the game and providing an overview…
The game of Flipping Coins
Anthony Bonato, Melissa A. Huggan, Richard J. Nowakowski
We consider Flipping Coins, a partizan version of the impartial game Turning Turtles, played on lines of coins. We show the values of this game are numbers, and these are found by…
An investigation into the application of genetic programming to combinatorial game theory
Melissa A. Huggan, Craig Tennenhouse
Genetic programming is the practice of evolving formulas using crossover and mutation of genes representing functional operations. Motivated by genetic evolution we develop and sol…
The iterated local transitivity model for hypergraphs
Natalie C. Behague, Anthony Bonato, Melissa A. Huggan +2
Complex networks are pervasive in the real world, capturing dyadic interactions between pairs of vertices, and a large corpus has emerged on their mining and modeling. However, man…