| CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
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Local Natural Connectivity in Complex Networks |
| SHANG Yi-Lun
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Institute for Cyber Security, University of Texas at San Antonio, San Antonio, TX 78249, USA
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| Cite this article: |
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SHANG Yi-Lun 2011 Chin. Phys. Lett. 28 068903 |
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Abstract In network theory, a complex network represents a system whose evolving structure and dynamic behavior contribute to its robustness. The natural connectivity is recently proposed as a spectral measure to characterize the robustness of complex networks. We decompose the natural connectivity of a network as local natural connectivity of its connected components and quantify their contributions to the network robustness. In addition, we compare the natural connectivity of a network with that of an induced subgraph of it based on interlacing theorems. As an application, we derive an inequality for eigenvalues of Erdös-Rényi random graphs.
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| Keywords:
89.75.Hc
89.75.Fb
02.10.Ox
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Received: 24 October 2010
Published: 29 May 2011
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| PACS: |
89.75.Hc
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(Networks and genealogical trees)
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89.75.Fb
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(Structures and organization in complex systems)
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02.10.Ox
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(Combinatorics; graph theory)
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