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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Constrained Information Transmission on Erdos - Renyi Graphs

Author(s):
Comets, F. ; Gallesco, C. ; Popov, S. ; Vachkovskaia, M.
Total Authors: 4
Document type: Journal article
Source: Markov Processes and Related Fields; v. 22, n. 1, p. 111-138, 2016.
Web of Science Citations: 1
Abstract

We model the transmission of information of a message on the Erdos - Renyi random graph with parameters (n, p) and limited resources. The vertices of the graph represent servers that may broadcast a message at random. Each server has a random emission capital that decreases by one at each emission. We examine two natural dynamics: in the first dynamics, an informed server performs all its attempts, then checks at each of them if the corresponding edge is open or not; in the second dynamics the informed server knows a priori who are its neighbors, and it performs all its attempts on its actual neighbors in the graph. In each case, we obtain first and second order asymptotics (law of large numbers and central limit theorem), when n -> infinity and p is fixed, for the final proportion of informed servers. (AU)

FAPESP's process: 13/10101-9 - Localization of random walks in random environment and molecular spiders
Grantee:Christophe Frédéric Gallesco
Support type: Regular Research Grants
FAPESP's process: 09/52379-8 - Stochastic modeling of interacting systems
Grantee:Fabio Prates Machado
Support type: Research Projects - Thematic Grants