Network analysis method: correlation values between two arbitrary points on a network

TL;DR

This paper introduces a network analysis method to calculate correlation values between any two points on a network, extending Ising model techniques to complex interconnected systems.

Contribution

It generalizes correlation function analysis from Ising models to arbitrary networks, enabling calculation of complex inter-node correlations.

Findings

Method allows correlation calculation between arbitrary network points.

Clarifies calculation procedures for secondary and tertiary node correlations.

Facilitates analysis of complex interlinked network systems.

Abstract

This study presents a generalization for a method examining the correlation function of an arbitrary system with interactions in an Ising model to obtain a value of correlation between two arbitrary points on a network. The establishment of a network clarifies the type of calculations necessary for the correlation values between secondary and tertiary nodes. Moreover, it is possible to calculate the correlation values of the target that are interlinked in a complex manner by proposing a network analysis method to express the same as a network with mutual linkages between the target of each field.