Giant Clusters in Random Ad Hoc Networks

TL;DR

This paper studies the formation of large connected clusters in random ad hoc networks, analyzing how node connectivity influences the emergence and size of giant clusters using statistical methods.

Contribution

It introduces a model for giant cluster formation in ad hoc networks based on node neighbor counts and discusses asymptotic properties of cluster sizes.

Findings

Giant clusters form when node neighbor numbers reach a critical threshold

Asymptotic analysis reveals how cluster sizes scale with network parameters

Statistical methods effectively describe large-scale connectivity in ad hoc networks

Abstract

The present paper introduces ad hoc communication networks as examples of large scale real networks that can be prospected by statistical means. A description of giant cluster formation based on the single parameter of node neighbor numbers is given along with the discussion of some asymptotic aspects of the giant cluster sizes.