Related Experiment Video
Updated: Aug 20, 2025

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials
Published on: September 26, 2014
A specific type of irregular ring-and-hub network structure and the average shortest distance of its rings
Tao Fu1, Chenguang Li2, Long Wu1
1Economics and Management School, Beijing University of Technology, China.
Abstract:
Ring-and-hub network structure is very common in the real world, while that neighboring rings may sometimes share nodes or line segments makes this structure irregular. In this paper, we modify Dorogovtsev-Mendes model and its subsequent models to analytically estimate the average distance between nodes on the same ring in irregular ring-and-hub networks. In order to observe the accuracy of our modified model, we develop an algorithm to generate irregular ring-and-hub networks by computer. Then, we compare the analytic estimates with the practical values on those computer-generated and real networks. The results show that our modified model actually estimates the average shortest distance of its rings when only straight and U-shape paths between the start and end points are allowed. The accuracy of estimates for innermost several rings can be acceptable.
Related Concept Videos
Structure of Benzene: Molecular Orbital Model
Network Covalent Solids
To break or to melt a covalent network solid, covalent bonds must be broken. Because covalent bonds are relatively strong, covalent network solids are typically...
The Structure of Intermediate Filaments
Intermediate...
Molecular Shapes
Two regions of electron density in a diatomic...
The Contractile Ring
A small GTPase, RhoA, controls the function and assembly of the contractile ring. RhoA belongs to the Ras superfamily of proteins. The activation of formins by RhoA promotes...
Stereoisomerism of Cyclic Compounds

