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4 papers · 2 filters
Nonuniform random geometric graphs with location-dependent radii
Srikanth K. Iyer, Debleena Thacker
We propose a distribution-free approach to the study of random geometric graphs. The distribution of vertices follows a Poisson point process with intensity function , w…
Connectivity Threshold of Random Geometric Graphs with Cantor Distributed Vertices
Antar Bandyopadhyay, Farkhondeh Sajadi
For connectivity of \emph{random geometric graphs}, where there is no density for underlying distribution of the vertices, we consider i.i.d. \emph{Cantor} distributed points o…
Systems of branching, annihilating, and coalescing particles
Siva Athreya, Jan Swart
This paper studies systems of particles following independent random walks and subject to annihilation, binary branching, coalescence, and deaths. In the case without annihilation,…
On the Expected Total Number of Infections for Virus Spread on a Finite Network
Antar Bandyopadhyay, Farkhondeh Sajadi
In this paper we consider a simple virus infection spread model on a finite population of agents connected by some neighborhood structure. Given a graph on vertices, we…