A centrality based genetic algorithm for the graph burning problem

M Nazeri, A Mollahosseini, I Izadi - Applied Soft Computing, 2023 - Elsevier
Abstract Information spread is an intriguing topic to study in network science, which
investigates how information, influence, or contagion propagate through networks. Graph …

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 …

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 …

Centrality measures based heuristics for perfect awareness problem in social networks

RK Gautam, AS Kare, S Durga Bhavani - International Conference on …, 2023 - Springer
Social networks are used extensively for advertising, political campaigning, and spreading
awareness. Usually, there is an underlying diffusion model using which the information …

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 …

A greedy heuristic for graph burning

J García-Díaz, JA Cornejo-Acosta… - arxiv preprint arxiv …, 2024 - arxiv.org
Given a graph $ G $, the optimization version of the graph burning problem seeks for a
sequence of vertices, $(u_1, u_2,..., u_p)\in V (G)^ p $, with minimum $ p $ and such that …

Burning grids and intervals

AT Gupta, SA Lokhande, K Mondal - Algorithms and Discrete Applied …, 2021 - Springer
Graph burning runs on discrete time steps. The aim is to burn all the vertices in a given
graph in the least number of time steps. This number is known to be the burning number of …

Burning and w-burning of geometric graphs

B Gorain, AT Gupta, SA Lokhande, K Mondal… - Discrete Applied …, 2023 - Elsevier
Graph burning runs on discrete time-steps. The aim is to burn all the vertices in a given
graph using a minimum number of time-steps. This number is known to be the burning …

New heuristics for burning graphs

ZR Farokh, M Tahmasbi, ZHRA Tehrani… - arxiv preprint arxiv …, 2020 - arxiv.org
The concept of graph burning and burning number ($ bn (G) $) of a graph G was introduced
recently [1]. Graph burning models the spread of contagion (fire) in a graph in discrete time …