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Per-Spectral Characterizations of Bicyclic Networks

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  • Tingzeng Wu
  • Huazhong Lü

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.

Suggested Citation

  • Tingzeng Wu & Huazhong Lü, 2017. "Per-Spectral Characterizations of Bicyclic Networks," Journal of Applied Mathematics, Hindawi, vol. 2017, pages 1-5, May.
    • Handle: RePEc:hin:jnljam:7541312
    DOI: 10.1155/2017/7541312
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