activity
20092026
most citedDimensionality of social networks using motifs and eigenvalues

32 citations · 117 across the 58 of their papers we have counts for

collaborators

78 papers

cs.SI2026

Structural Change and Random Graph Models in Global Oil Trade Networks

Anthony Bonato, Vincent Luong, Kyne Santos

We studied structural change in global oil trade using a network approach. Using UN Comtrade data, we examined the temporal evolution of international trade networks, with an empha…

math.CO2026

Cooling graph products

Anthony Bonato, MacKenzie Carr, Caleb Jones +2

The cooling number measures the speed at which a slow-moving influence or contagion spreads on a graph. In this paper, we investigate the cooling number of four classical graph pro…

cs.SI2026

The Iterated Local Model for tournaments

Anthony Bonato, MacKenzie Carr, Ketan Chaudhary +2

Transitivity is a central, generative principle in social and other complex networks, capturing the tendency for two nodes with a common neighbor to form a direct connection. We pr…

cs.SI2026

Network analysis and link prediction in competitive women's basketball

Anthony Bonato, Morganna Hinds

Network structure and its role in prediction are examined in competitive basketball at the team and player levels. Adversarial game outcome networks from NCAA Division I women's ba…

cs.SI2025

Network Embedding Analysis for Anti-Money Laundering Detection

Anthony Bonato, Adam Szava

We employ network embedding to detect money laundering in financial transaction networks. Using real anonymized banking data, we model over one million accounts as a directed graph…

math.CO2025

Between burning and cooling: liminal burning on graphs

Anthony Bonato, Trent G. Marbach, John Marcoux +1

Liminal burning generalizes both the burning and cooling processes in graphs. In -liminal burning, a Saboteur reveals -sets of vertices in each round, with the goal of extend…

cs.SI2025

Network Analysis of Global Banking Systems and Detection of Suspicious Transactions

Anthony Bonato, Juan Chavez Palan, Adam Szava

A novel network-based approach is introduced to analyze banking systems, focusing on two main themes: identifying influential nodes within global banking networks using Bank for In…

cs.SI2025

Analysis and predictability of centrality measures in competition networks

Anthony Bonato, Mariam Walaa

The Common Out-Neighbor (or CON) score quantifies shared influence through outgoing links in competitive contexts. A dynamic analysis of competition networks reveals the CON score…

math.CO2024★ 1 cited

Hypergraph burning, matchings, and zero forcing

Anthony Bonato, Caleb Jones, Trent G. Marbach +2

Lazy burning is a recently introduced variation of burning where only one set of vertices is chosen to burn in the first round. In hypergraphs, lazy burning spreads when all but on…

cs.SI2024

Enhancing Anti-Money Laundering Efforts with Network-Based Algorithms

Anthony Bonato, Juan Sebastian Chavez Palan, Adam Szava

The global banking system has faced increasing challenges in combating money laundering, necessitating advanced methods for detecting suspicious transactions. Anti-money laundering…

math.CO2024

How to burn a Latin square

Anthony Bonato, Caleb Jones, Trent G. Marbach +1

We investigate the lazy burning process for Latin squares by studying their associated hypergraphs. In lazy burning, a set of vertices in a hypergraph is initially burned, and that…

math.CO2024

The isoperimetric peak of complete trees

Anthony Bonato, Lazar Mandic, Trent G. Marbach +1

We give exact values and bounds on the isoperimetric peak of complete trees, improving on known results. For the complete -ary tree of depth , if , then we find that…

math.CO2024

Locally finite graphs and their localization numbers

Anthony Bonato, Florian Lehner, Trent G. Marbach +1

We study the Localization game on locally finite graphs trees, where each of the countably many vertices have finite degree. In contrast to the finite case, we construct a locally…

cs.SI2024

Clique counts for network similarity

Anthony Bonato, Zhiyuan Zhang

Counts of small subgraphs, or graphlet counts, are widely applicable to measure graph similarity. Computing graphlet counts can be computationally expensive and may pose obstacles…

math.CO2024

How to cool a graph

Anthony Bonato, Trent G. Marbach, Holden Milne +1

We introduce a new graph parameter called the cooling number, inspired by the spread of influence in networks and its predecessor, the burning number. The cooling number measures t…

math.CO2023

The -visibility Localization Game

Anthony Bonato, Trent G. Marbach, John Marcoux +1

We study a variant of the Localization game in which the cops have limited visibility, along with the corresponding optimization parameter, the -visibility localization number $…

cs.SI2023

The Iterated Local Transitivity Model for Tournaments

Anthony Bonato, Ketan Chaudhary

A key generative principle within social and other complex networks is transitivity, where friends of friends are more likely friends. We propose a new model for highly dense compl…

math.CO2023★ 1 cited

The one-visibility Localization game

Anthony Bonato, Trent G. Marbach, Michael Molnar +1

We introduce a variant of the Localization game in which the cops only have visibility one, along with the corresponding optimization parameter, the one-visibility localization num…

math.CO2022

The Localization Game on Directed Graphs

Anthony Bonato, Ryan Cushman, Trent G. Marbach +1

In the Localization game played on graphs, a set of cops uses distance probes to identify the location of an invisible robber. We present an extension of the game and its main para…

cs.SI2022

Winner does not take all: contrasting centrality in adversarial networks

Anthony Bonato, Joey Kapusin, Jiajie Yuan

In adversarial networks, edges correspond to negative interactions such as competition or dominance. We introduce a new type of node called a low-key leader in adversarial networks…

cs.DM2022

Iterative models for complex networks formed by extending cliques

Anthony Bonato, Ryan Cushman, Trent G. Marbach +1

We consider a new model for complex networks whose underlying mechanism is extending dense subgraphs. In the frustum model, we iteratively extend cliques over discrete-time steps.…

math.CO2022

On Meyniel extremal families of graphs

Anthony Bonato, Ryan Cushman, Trent G. Marbach

We provide new constructions of Meyniel extremal graphs, which are families of graphs with the conjectured largest asymptotic cop number. Using spanning subgraphs, we prove that th…

math.CO2021★ 2 cited

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…

math.CO2021★ 1 cited

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…