32 citations · 117 across the 58 of their papers we have counts for
8 papers · 1 filter
An improved bound on the burning number of graphs
Anthony Bonato, Shahin Kamali
The burning number conjecture states that the burning number of a connected graph is at most While the conjecture is unresolved, Land and Lu proved that t…
Improved pyrotechnics : Closer to the burning graph conjecture
Paul Bastide, Marthe Bonamy, Anthony Bonato +4
The Burning Number Conjecture claims that for every connected graph of order its burning number satisfies While the conjecture remains o…
Pursuit-evasion games on latin square graphs
Shreya Ahirwar, Anthony Bonato, Leanna Gittins +3
We investigate various pursuit-evasion parameters on latin square graphs, including the cop number, metric dimension, and localization number. The cop number of latin square graphs…
Small Number of Communities in Twitter Keyword Networks
Linda Abraham, Anthony Bonato, Alexander Nazareth
We investigate networks formed by keywords in tweets and study their community structure. Based on datasets of tweets mined from over seven hundred political figures in the U.S. an…
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…
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…
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…