[图书][B] An invitation to pursuit-evasion games and graph theory

A Bonato - 2022 - books.google.com
Graphs measure interactions between objects such as friendship links on Twitter,
transactions between Bitcoin users, and the flow of energy in a food chain. While graphs …

A survey of graph burning

A Bonato - arXiv preprint arXiv:2009.10642, 2020 - arxiv.org
Graph burning is a deterministic, discrete-time process that models how influence or
contagion spreads in a graph. Associated to each graph is its burning number, which is a …

Approximation algorithms for graph burning

A Bonato, S Kamali - Theory and Applications of Models of Computation …, 2019 - Springer
Numerous approaches study the vulnerability of networks against social contagion. Graph
burning studies how fast a contagion, modeled as a set of fires, spreads in a graph. The …

[HTML][HTML] Burning number of caterpillars

H Liu, X Hu, X Hu - Discrete Applied Mathematics, 2020 - Elsevier
Graph burning is a deterministic discrete time graph process that can be interpreted as a
model for the spread of influence in social networks. The burning number b (G) of a graph G …

Heuristics for spreading alarm throughout a network

M Šimon, L Huraj, I Dirgová Luptáková, J Pospíchal - Applied Sciences, 2019 - mdpi.com
Featured Application This study provides heuristics for potential usage in minimizing time
steps for fast spreading an alarm or other critical information, for example via satellite …

Burning two worlds: algorithms for burning dense and tree-like graphs

S Kamali, A Miller, K Zhang - … Conference on Current Trends in Theory …, 2020 - Springer
Graph burning is a model for the spread of social influence in networks. The objective is to
measure how quickly a fire (eg, a piece of fake news) can be spread in a network. The …

Burning number of theta graphs

H Liu, R Zhang, X Hu - Applied Mathematics and Computation, 2019 - Elsevier
The burning number b (G) of a graph G was introduced by Bonato, Janssen, and Roshanbin
[Lecture Notes in Computer Science 8882 (2014)] to measure the speed of the spread of …

Graph burning: Mathematical formulations and optimal solutions

J García-Díaz, LMX Rodríguez-Henríquez… - Mathematics, 2022 - mdpi.com
The graph burning problem is an NP-hard combinatorial optimization problem that helps
quantify how vulnerable a graph is to contagion. This paper introduces three mathematical …

Faster heuristics for graph burning

RK Gautam, AS Kare - Applied Intelligence, 2022 - Springer
Graph burning is a process of information spreading through the network by an agent in
discrete steps. The problem is to find an optimal sequence of nodes that have to be given …

Burning graphs through farthest-first traversal

J García-Díaz, JC Pérez-Sansalvador… - IEEE …, 2022 - ieeexplore.ieee.org
Graph burning is a process to determine the spreading of information in a graph. If a
sequence of vertices burns all the vertices of a graph by following the graph burning …