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Poisson Approximation of Counts of Subgraphs in Random Intersection Graphs by Rybarczyk, Katarzyna; Stark, Dudley is a scholarly article available to read on EtoBox.

What is Poisson Approximation of Counts of Subgraphs in Random Intersection Graphs about?

Random intersection graphs are characterized by three parameters: $n$, $m$ and $p$, where $n$ is the number of vertices, $m$ is the number of objects, and $p$ is the probability that a given object is associated with a given vertex. Two vertices in a random intersection graph are adjacent if and only if they have an associated object in common. When $m=\lfloor n^\alpha\rfloor$ for constant $\alpha$, we provide a condition, called {\em strictly $\alpha$-balanced}, for the Poisson convergence of the number of induced copies of a fixed subgraph.

Author

Rybarczyk, Katarzyna; Stark, Dudley

Published

2016

Language

EN