Title
Mapping Temporal-Network Percolation To Weighted, Static Event Graphs
Abstract
The dynamics of diffusion-like processes on temporal networks are influenced by correlations in the times of contacts. This influence is particularly strong for processes where the spreading agent has a limited lifetime at nodes: disease spreading (recovery time), diffusion of rumors (lifetime of information), and passenger routing (maximum acceptable time between transfers). We introduce weighted event graphs as a powerful and fast framework for studying connectivity determined by time-respecting paths where the allowed waiting times between contacts have an upper limit. We study percolation on the weighted event graphs and in the underlying temporal networks, with simulated and real-world networks. We show that this type of temporal-network percolation is analogous to directed percolation, and that it can be characterized by multiple order parameters.
Year
DOI
Venue
2017
10.1038/s41598-018-29577-2
SCIENTIFIC REPORTS
Field
DocType
Volume
Graph,Discrete mathematics,Combinatorics,Directed percolation,Percolation,Continuum percolation theory,Mathematics
Journal
8
Issue
ISSN
Citations 
1
2045-2322
1
PageRank 
References 
Authors
0.35
16
4
Name
Order
Citations
PageRank
Mikko Kivelä1717.75
Jordan Cambe210.35
Jari Saramäki359437.21
Márton Karsai442230.42