The characteristics and properties of growing network based on hexahedron

TL;DR

This paper introduces a new network model based on superimposing hexahedra, revealing rich structural properties and potential applications in analyzing real complex systems.

Contribution

It constructs a novel scale-free, sparse, and planar network model using hexahedron superposition, with detailed analysis of its properties.

Findings

Network is scale-free and disassortative

Network is highly sparse and maximal planar

Rich structural characteristics observed

Abstract

We constructs a new network by superposition of hexahedron , which are scale-free, highly sparse,disassortative ,and maximal planar graphs. The network degree distribution, agglomeration coefficient and degree of correlation are computed separately using the iterative method, and these characteristics are found to be very rich. The method of network characteristic analysis can be applied to some actual systems, so as to study the complexity of real network system under the framework of complex network theory.