769 citations · 1.2k across the 7 of their papers we have counts for
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Communicability Graph and Community Structures in Complex Networks
Ernesto Estrada, Naomichi Hatano
We use the concept of the network communicability (Phys. Rev. E 77 (2008) 036111) to define communities in a complex network. The communities are defined as the cliques of a commun…
Communicability Betweenness in Complex Networks
Ernesto Estrada, Desmond J. Higham, Naomichi Hatano
Betweenness measures provide quantitative tools to pick out fine details from the massive amount of interaction data that is available from large complex networks. They allow us to…
Communicability and multipartite structures in complex networks at negative absolute temperatures
Ernesto Estrada, Desmond J. Higham, Naomichi Hatano
We here present a method of clearly identifying multi-partite subgraphs in a network. The method is based on a recently introduced concept of the communicability, which very clearl…
Tight-binding 'dihedral orbitals' approach to electronic communicability in macromolecular chains
Ernesto Estrada, Naomichi Hatano
An electronic orbital of a dihedral angle of a molecular chain is introduced. A tight-binding Hamiltonian on the basis of the dihedral orbitals is defined. This yields the Green's…
Statistical-mechanical approach to subgraph centrality in complex networks
Ernesto Estrada, Naomichi Hatano
We interpret the subgraph centrality as the partition function of a network. The entropy, the internal energy and the Helmholtz free energy are defined for networks and molecular g…
"Clumpiness" Mixing in Complex Networks
Ernesto Estrada, Naomichi Hatano, Amauri Gutierrez
Three measures of clumpiness of complex networks are introduced. The measures quantify how most central nodes of a network are clumped together. The assortativity coefficient defin…