How Structure Affects Power-Law Behavior

TL;DR

This paper investigates how the structure of interaction networks in complex systems influences power-law behaviors, focusing on system size, connectivity density, and connection methods, revealing that certain structural features weaken power-law distributions.

Contribution

It provides new insights into how network structure impacts power-law behavior, specifically analyzing effects of size, density, and connectivity methods in the BS co-evolution model.

Findings

Small system size weakens power-law distribution

High connectivity density reduces power-law effects

Random connectivity method diminishes power-law behavior

Abstract

Complex systems contain a lot of individuals and some interactions between them. The structure of interactions can be modeled to be a network: nodes represent individuals and links to be interaction between two individuals. This paper tries to investigate how structure of interactions in the system will affect the power-law behaviors based on the BS co-evolution model from points of system size, the density of connectivity and the ways of connectivity of the interaction network. The current experiments show that small size, high density of connectivity and random connected way will weaken the power-law distribution.