Exploring the “Middle Earth” of network spectra via a Gaussian matrix function

DOI10.1063/1.4976015zbMath1390.05126arXiv1607.08812OpenAlexW3100151198WikidataQ47955017 ScholiaQ47955017MaRDI QIDQ4642551

Ernesto Estrada, Alhanouf Alhomaidhi, Fawzi A. Al-Thukair

Publication date: 23 May 2018

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.08812

Mathematics Subject Classification ID

Deterministic network models in operations research (90B10) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (6)

Double Gaussianization of graph spectra ⋮ The many facets of the Estrada indices of graphs and networks ⋮ Equitable partition and star set formulas for the subgraph centrality of graphs ⋮ Gaussianization of the spectra of graphs and networks. Theory and applications ⋮ Matrix functions in network analysis ⋮ Lower bounds for Gaussian Estrada index of graphs

Uses Software

• Pajek
• mftoolbox

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Characteristic vectors of bordered matrices with infinite dimensions
• Spektren endlicher Grafen
• Quadrature rule-based bounds for functions of adjacency matrices
• Bounds for the entries of matrix functions with applications to preconditioning
• Generalized walks-based centrality measures for complex biological networks
• Ranking hubs and authorities using matrix functions
• Parallel empirical pseudopotential electronic structure calculations for million atom systems
• Estimating the Estrada index
• A new status index derived from sociometric analysis
• Network Properties Revealed through Matrix Functions
• Emergence of Scaling in Random Networks
• Robustness of regular ring lattices based on natural connectivity
• Vulnerability of complex networks under intentional attack with incomplete information
• Updating and Downdating Techniques for Optimizing Network Communicability
• The Largest Eigenvalue of Sparse Random Graphs
• Decay Properties of Spectral Projectors with Applications to Electronic Structure
• On the Limiting Behavior of Parameter-Dependent Network Centrality Measures
• Collective dynamics of ‘small-world’ networks
• Functions of Matrices
• Random Graphs

This page was built for publication: Exploring the “Middle Earth” of network spectra via a Gaussian matrix function