A note on the vertex degree distribution of random intersection graphs

TL;DR

This paper analyzes the asymptotic degree distribution of typical vertices in inhomogeneous and passive random intersection graphs, providing theoretical insights under minimal moment conditions.

Contribution

It establishes the asymptotic degree distribution for these graphs, extending understanding under minimal assumptions.

Findings

Derived the asymptotic degree distribution for inhomogeneous random intersection graphs.

Extended results to passive models with minimal moment conditions.

Provided theoretical framework for degree distribution analysis.

Abstract

We establish the asymptotic degree distribution of the typical vertex of inhomogeneous and passive random intersection graphs under the minimal moment conditions.