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Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
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Communicability and multipartite structures in complex networks at negative absolute temperatures.

Ernesto Estrada1, Desmond J Higham, Naomichi Hatano

  • 1Institute of Complexity Science, Department of Physics and Department of Mathematics, University of Strathclyde, Glasgow G1 1XH, United Kingdom. estrada66@yahoo.com

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 15, 2008
PubMed
Summary

This study introduces a novel method using communicability at negative temperatures to identify multipartite subgraphs in complex networks, revealing hidden network structures in real-world data.

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Area of Science:

  • Network Science
  • Graph Theory
  • Complex Systems Analysis

Background:

  • Identifying network structures like communities and subgraphs is crucial for understanding complex systems.
  • Existing methods for community detection do not always effectively identify multipartite subgraphs.
  • Communicability is a recently developed metric for analyzing complex networks.

Purpose of the Study:

  • To present a novel method for clearly identifying multipartite subgraphs in networks.
  • To demonstrate the utility of communicability at negative temperatures for subgraph detection.
  • To extend network analysis capabilities to uncover "almost" multipartite structures.

Main Methods:

  • Utilizing the concept of communicability, a network analysis metric.
  • Applying communicability at negative temperatures to distinguish between nodes within and outside of multipartite subgraphs.
  • Analyzing the sign of the communicability value between node pairs to infer subgraph membership.

Main Results:

  • Communicability at negative temperatures effectively identifies multipartite subgraphs.
  • The method distinguishes nodes belonging to the same subgraph (positive communicability) from those not (negative communicability).
  • The approach successfully detects structures with high intercommunity connections, termed "almost" multipartite subgraphs.

Conclusions:

  • Communicability at negative temperatures offers a powerful tool for identifying multipartite subgraphs.
  • This method enhances the analysis of complex networks, including food webs and protein-protein interaction networks.
  • The findings provide new insights into the structural organization of complex systems.