Betti numbers of graphs with an application to anomaly detection

DOI10.1002/sam.11141OpenAlexW1983768766MaRDI QIDQ4969840

David J. Marchette, David A. Johannsen

Publication date: 14 October 2020

Published in: Statistical Analysis and Data Mining: The ASA Data Science Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sam.11141

zbMATH Keywords

graph theoryalgebraic geometrysocial network analysisanomaly detectionminimal free resolutions

Mathematics Subject Classification ID

Statistics (62-XX) Computer science (68-XX)

Uses Software

• SINGULAR

Cites Work

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• A comparative power analysis of the maximum degree and size invariants for random graph inference
• Scan statistics on Enron graphs
• Splittable ideals and the resolutions of monomial ideals
• Bayesian anomaly detection methods for social networks
• Combinatorics and commutative algebra.
• Detection of an anomalous cluster in a network
• Statistical inference on attributed random graphs: fusion of graph features and content
• A textbook of graph theory

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