Statistical Analysis of the Properties of Geometric Network with Node Mobility

TL;DR

This paper models and analyzes how mobility of nodes affects the structural properties of geometric networks, revealing significant variations in network metrics due to movement.

Contribution

It introduces a new model for geometric networks with mobile nodes and provides a comprehensive statistical analysis of their properties.

Findings

Node mobility significantly alters network connectivity.

Degree distribution varies with node movement.

Centrality measures are affected by mobility patterns.

Abstract

The movement changes the underlying spatial representation of the participated mobile objects or nodes. In real world scenario, such mobile nodes can be part of any biological network, transportation network, social network, human interaction, etc. The change in the geometry leads to the change in various desirable properties of real-world networks especially in human interaction networks. In real life, human movement is concerned for better lifestyle where they form their new connections due to the geographical changes. Therefore, in this paper, we design a model for geometric networks with mobile nodes (GNMN) and conduct a comprehensive statistical analysis of their properties. We analyze the effect of node mobility by evaluating key network metrics such as connectivity, node degree distribution, second hop neighbors, and centrality measures. Through extensive simulations, we observe significant variations in the behavior of geometric networks with mobile nodes.