Study on some interconnecting bilayer networks

TL;DR

This paper introduces a model for interconnecting nodes in bilayer networks, analyzing their topological roles and empirical validation across real-world networks, revealing consistent relationships between network differences and node roles.

Contribution

The paper presents a combined analytical, simulation, and empirical study of interconnecting nodes in bilayer networks, highlighting the relationship between network differences and node roles.

Findings

Interconnecting node topological position difference increases with network function difference.

Number of interconnecting nodes decreases as network function difference increases.

Model results align well with empirical data from real-world bilayer networks.

Abstract

We present a model, in which some nodes (called interconnecting nodes) in two networks merge and play the roles in both the networks. The model analytic and simulation discussions show a monotonically increasing dependence of interconnecting node topological position difference and a monotonically decreasing dependence of the interconnecting node number on function difference of both networks. The dependence function details do not influence the qualitative relationship. This online manuscript presents the details of the model simulation and analytic discussion, as well as the empirical investigations performed in eight real world bilayer networks. The analytic and simulation results with different dependence function forms show rather good agreement with the empirical conclusions.