Wang, Zitao and Szeto, Kwok Yip (2014) Comparing the reliability of networks by spectral analysis. European Physical Journal B, 87 (10). Art. No. 234. ISSN 1434-6028. doi:10.1140/epjb/e2014-50498-0. https://resolver.caltech.edu/CaltechAUTHORS:20141201-092137055
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Abstract
We provide a method for the ranking of the reliability of two networks with the same connectance. Our method is based on the Cheeger constant linking the topological property of a network with its spectrum. We first analyze a set of twisted rings with the same connectance and degree distribution, and obtain the ranking of their reliability using their eigenvalue gaps. The results are generalized to general networks using the method of rewiring. The success of our ranking method is verified numerically for the IEEE57, the Erdős-Rényi, and the Small-World networks.
| Item Type: | Article | ||||||||||||
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| Additional Information: | © 2014 EDP Sciences. We acknowledge useful discussion with Chun Kit Chan and Ho Tat Lam. We acknowledge Grant No. FSGRF13SC25. | ||||||||||||
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| Issue or Number: | 10 | ||||||||||||
| DOI: | 10.1140/epjb/e2014-50498-0 | ||||||||||||
| Record Number: | CaltechAUTHORS:20141201-092137055 | ||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20141201-092137055 | ||||||||||||
| Official Citation: | Wang, Z. & Szeto, K. Eur. Phys. J. B (2014) 87: 234. doi:10.1140/epjb/e2014-50498-0 | ||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
| ID Code: | 52202 | ||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||
| Deposited On: | 01 Dec 2014 18:06 | ||||||||||||
| Last Modified: | 10 Nov 2021 19:22 |
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