1.3k citations · 4.4k across the 54 of their papers we have counts for
9 papers · 1 filter
Topological Atomic Displacements, Kirchhoff and Wiener Indices of Molecules
Ernesto Estrada, Naomichi Hatano
We provide a physical interpretation of the Kirchhoff index of any molecules as well as of the Wiener index of acyclic ones. For the purpose, we use a local vertex invariant that i…
A Vibrational Approach to Node Centrality and Vulnerability in Complex Networks
Ernesto Estrada, Naomichi Hatano
We propose a new measure of vulnerability of a node in a complex network. The measure is based on the analogy in which the nodes of the network are represented by balls and the lin…
Communicability and Communities in Complex Socio-Economic Networks
Ernesto Estrada, Naomichi Hatano
The concept of communicability is introduced for complex socio-economic networks. The communicability function expresses how an impact propagates from one place to another in the n…
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…