Spontaneous symmetry breaking on graphs and lattices is controlled by the spectral dimension and generalizations of resistance distance and the Kirchhoff index.
Bianconi,Dirac gauge theory for topological spinors in 3+1 dimensional networks, J
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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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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.