First passage percolation in sparse random graphs with boundary weights

Tutkimustuotos: Lehtiartikkelivertaisarvioitu

Tutkijat

Organisaatiot

Kuvaus

A large and sparse random graph with independent exponentially distributed link weights can be used to model the propagation of messages or diseases in a network with an unknown connectivity structure. In this article we study an extended setting where also the nodes of the graph are equipped with nonnegative random weights which are used to model the effect of boundary delays across paths in the network. Our main results provide approximative formulas for typical first passage times, typical flooding times, and maximum flooding times in the extended setting, over a time scale logarithmic with respect to the network size.

Yksityiskohdat

AlkuperäiskieliEnglanti
Sivut458-471
Sivumäärä14
JulkaisuJournal of Applied Probability
Vuosikerta56
Numero2
TilaJulkaistu - 30 heinäkuuta 2019
OKM-julkaisutyyppiA1 Julkaistu artikkeli, soviteltu

ID: 33636837