Beyond non-backtracking: non-cycling network centrality measures
From MaRDI portal
Publication:5160872
DOI10.1098/rspa.2019.0653zbMath1472.05081OpenAlexW3010591705WikidataQ91740894 ScholiaQ91740894MaRDI QIDQ5160872
Desmond J. Higham, Francesca Arrigo, Vanni Noferini
Publication date: 29 October 2021
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1098/rspa.2019.0653
generating functionmatrix polynomialcomplex networkHashimoto matrixcentrality indexdeformed graph Laplacian
Applications of graph theory (05C90) Small world graphs, complex networks (graph-theoretic aspects) (05C82) Paths and cycles (05C38)
Related Items
Weighted Enumeration of Nonbacktracking Walks on Weighted Graphs, Nishimori meets Bethe: a spectral method for node classification in sparse weighted graphs, Some spectral properties of the non-backtracking matrix of a graph, Dynamic Katz and related network measures, A Theory for Backtrack-Downweighted Walks, Mittag--Leffler Functions and their Applications in Network Science
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the sign characteristics of Hermitian matrix polynomials
- Spectral clustering and its use in bioinformatics
- An Ihara formula for partially directed graphs
- Similarity matrices for colored graphs
- On the exponential generating function for non-backtracking walks
- Zeta functions of finite graphs and coverings
- Non-backtracking PageRank: from the classic model to Hashimoto matrices
- Non-backtracking PageRank
- Ihara zeta functions of digraphs
- Graph similarity scoring and matching
- A new status index derived from sociometric analysis
- Spectral redemption in clustering sparse networks
- The university of Florida sparse matrix collection
- Network Properties Revealed through Matrix Functions
- Emergence of Scaling in Random Networks
- ON ZETA AND L-FUNCTIONS OF FINITE GRAPHS
- Non-backtracking walk centrality for directed networks
- NON-BACKTRACKING RANDOM WALKS MIX FASTER
- Random matrices, nonbacktracking walks, and orthogonal polynomials
- Quantum chaos on discrete graphs
- Matrix Analysis
- The Complexity of Enumeration and Reliability Problems
- The Deformed Graph Laplacian and Its Applications to Network Centrality Analysis
- Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane
- Non-Backtracking Alternating Walks
- The non-backtracking spectrum of the universal cover of a graph
- On the Limiting Behavior of Parameter-Dependent Network Centrality Measures
- Matrix Polynomials
- Collective dynamics of ‘small-world’ networks
- Functions of Matrices
- Elementary Divisors of AB and BA
- Networks