Graph metrics for network robustness—a survey

M Oehlers, B Fabian - Mathematics, 2021 - mdpi.com
Research on the robustness of networks, and in particular the Internet, has gained critical
importance in recent decades because more and more individuals, societies and firms rely …

Matrix analysis of hexagonal model and its applications in global mean-first-passage time of random walks

X Yu, S Zaman, A Ullah, G Saeedi, X Zhang - IEEE access, 2023 - ieeexplore.ieee.org
Recent advances in graph-structured learning have demonstrated promising results on the
graph classification task. However, making them scalable on huge graphs with millions of …

Insights into network properties: spectrum-based analysis with Laplacian and signless Laplacian spectra

A Raza, MM Munir - The European Physical Journal Plus, 2023 - Springer
The article explores the utilizations of Laplacian and signless Laplacian spectra across
diverse fields such as theoretical chemistry, computer science, electrical networks, and …

Applications of Laplacian spectra for n-prism networks

JB Liu, J Cao, A Alofi, ALM Abdullah, A Elaiw - Neurocomputing, 2016 - Elsevier
In this paper, the properties of the Laplacian matrices for the n-prism networks are
investigated. We calculate the Laplacian spectra of n-prism graphs which are both planar …

Scale-free loopy structure is resistant to noise in consensus dynamics in complex networks

Y Yi, Z Zhang, S Patterson - IEEE transactions on cybernetics, 2018 - ieeexplore.ieee.org
The vast majority of real-world networks are scale-free, loopy, and sparse, with a power-law
degree distribution and a constant average degree. In this paper, we study first-order …

Spanning trees in a fractal scale-free lattice

Z Zhang, H Liu, B Wu, T Zou - Physical Review E—Statistical, Nonlinear, and …, 2011 - APS
Spanning trees provide crucial insight into the origin of fractality in fractal scale-free
networks. In this paper, we present the number of spanning trees in a particular fractal scale …

[HTML][HTML] The number of spanning trees in Apollonian networks

Z Zhang, B Wu, F Comellas - Discrete applied mathematics, 2014 - Elsevier
In this paper we find an exact analytical expression for the number of spanning trees in
Apollonian networks. This parameter can be related to significant topological and dynamic …

High-pressure study of silane to 150 GPa

TA Strobel, AF Goncharov, CT Seagle, Z Liu… - Physical Review B …, 2011 - APS
We present an extensive study of the optical, electronic, and structural properties of silane
(SiH 4) to 150 GPa through the use of Raman spectroscopy, optical microscopy, synchrotron …

Property analysis and coherence dynamics for tree-symmetric networks with noise disturbance

JB Liu, L Guan, J Cao - Journal of Complex Networks, 2024 - academic.oup.com
In this paper, we investigate the leaderless and the leader–follower coherence of tree-
symmetric networks. Firstly, the analytical expressions for the product and the sum of the …

High Pressure Stabilization and Emergent Forms of

P Zaleski-Ejgierd, R Hoffmann, NW Ashcroft - Physical review letters, 2011 - APS
A wide decomposition pressure range of 132 GPa is predicted for Pb H 4 above which it
emerges in very different forms compared with its group-14 congeners. This triply Born …