Generalizes Perron-Frobenius theory to complex edge weights and defines eigenvector centralities for such networks, with existence results and examples from quantum and chemistry applications.
Signed networks: theory, methods, and applications
3 Pith papers cite this work. Polarity classification is still indexing.
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Classifies apex trees, fan graphs, wheel graphs and complete split graphs by whether the all-negative signature uniquely, non-uniquely or fails to maximize frustration index, while refuting three Zaslavsky conjectures.
A review summarizing advances in multilayer network science for analyzing interconnected and interdependent complex systems, including theory, methods, and applications in diverse fields.
citing papers explorer
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Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights
Generalizes Perron-Frobenius theory to complex edge weights and defines eigenvector centralities for such networks, with existence results and examples from quantum and chemistry applications.
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On the maximum and negative frustration indices of graphs
Classifies apex trees, fan graphs, wheel graphs and complete split graphs by whether the all-negative signature uniquely, non-uniquely or fails to maximize frustration index, while refuting three Zaslavsky conjectures.
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Multilayer network science: theory, methods, and applications
A review summarizing advances in multilayer network science for analyzing interconnected and interdependent complex systems, including theory, methods, and applications in diverse fields.