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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …