Analytical calculation of fragmentation transitions in adaptive networks

TL;DR

This paper introduces an analytical method to determine the fragmentation transition point in adaptive networks, validated through the adaptive voter model, providing insights into network disconnection phenomena.

Contribution

The paper presents a novel analytical approach for calculating fragmentation transition points in adaptive networks, improving understanding beyond previous numerical methods.

Findings

Analytical approach agrees well with numerical results

Identifies transition point in adaptive voter model

Enhances understanding of network fragmentation processes

Abstract

In adaptive networks fragmentation transitions have been observed in which the network breaks into disconnected components. We present an analytical approach for calculating the transition point in general adaptive network models. Using the example of an adaptive voter model, we demonstrate that the proposed approach yields good agreement with numerical results.