@article{1a37f50cf1ae434784fa35ed6f5f1e68,
title = "Multivariate generating functions for information spread on multi-type random graphs",
abstract = "We study the spread of information on multi-type directed random graphs. In such graphs the vertices are partitioned into distinct types (communities) that have different transmission rates between themselves and with other types. We construct multivariate generating functions and use multi-type branching processes to derive an equation for the size of the large out-components in multi-type random graphs with a general class of degree distributions. We use our methods to analyse the spread of epidemics and verify the results with population based simulations.",
keywords = "epidemic modeling, network dynamics, random graphs, networks",
author = "Yaron Oz and Ittai Rubinstein and Muli Safra",
note = "Publisher Copyright: {\textcopyright} 2022 IOP Publishing Ltd and SISSA Medialab srl",
year = "2022",
month = mar,
day = "1",
doi = "10.1088/1742-5468/ac57b8",
language = "אנגלית",
volume = "2022",
journal = "Journal of Statistical Mechanics: Theory and Experiment",
issn = "1742-5468",
publisher = "IOP Publishing Ltd.",
number = "3",
}
