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2017 Per-Spectral Characterizations of Bicyclic Networks
Tingzeng Wu, Huazhong Lü
J. Appl. Math. 2017: 1-5 (2017). DOI: 10.1155/2017/7541312

Abstract

Spectral techniques are used for the study of several network properties: community detection, bipartition, clustering, design of highly synchronizable networks, and so forth. In this paper, we investigate which kinds of bicyclic networks are determined by their per-spectra. We find that the permanental spectra cannot determine sandglass graphs in general. When we restrict our consideration to connected graphs or quadrangle-free graphs, sandglass graphs are determined by their permanental spectra. Furthermore, we construct countless pairs of per-cospectra bicyclic networks.

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Tingzeng Wu. Huazhong Lü. "Per-Spectral Characterizations of Bicyclic Networks." J. Appl. Math. 2017 1 - 5, 2017. https://doi.org/10.1155/2017/7541312

Information

Received: 17 March 2017; Accepted: 7 May 2017; Published: 2017
First available in Project Euclid: 16 June 2017

zbMATH: 07037488
MathSciNet: MR3661585
Digital Object Identifier: 10.1155/2017/7541312

Rights: Copyright © 2017 Hindawi

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