A centrality based genetic algorithm for the graph burning problem
Abstract Information spread is an intriguing topic to study in network science, which
investigates how information, influence, or contagion propagate through networks. Graph …
investigates how information, influence, or contagion propagate through networks. Graph …
Burning two worlds: algorithms for burning dense and tree-like graphs
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 …
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
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 …
quantify how vulnerable a graph is to contagion. This paper introduces three mathematical …
Faster heuristics for graph burning
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 …
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
Social networks are used extensively for advertising, political campaigning, and spreading
awareness. Usually, there is an underlying diffusion model using which the information …
awareness. Usually, there is an underlying diffusion model using which the information …
Burning graphs through farthest-first traversal
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 …
sequence of vertices burns all the vertices of a graph by following the graph burning …
A greedy heuristic for graph burning
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 …
sequence of vertices, $(u_1, u_2,..., u_p)\in V (G)^ p $, with minimum $ p $ and such that …
Burning grids and intervals
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 …
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
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 …
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 …
recently [1]. Graph burning models the spread of contagion (fire) in a graph in discrete time …