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Sharp bounds for ordinary and signless Laplacian spectral radii of uniform hypergraphs

Author

Listed:
  • Lin, Hongying
  • Mo, Biao
  • Zhou, Bo
  • Weng, Weiming

Abstract

We give sharp upper bounds for the ordinary spectral radius and signless Laplacian spectral radius of a uniform hypergraph in terms of the average 2-degrees or degrees of vertices, respectively, and we also give a lower bound for the ordinary spectral radius. We also compare these bounds with known ones.

Suggested Citation

  • Lin, Hongying & Mo, Biao & Zhou, Bo & Weng, Weiming, 2016. "Sharp bounds for ordinary and signless Laplacian spectral radii of uniform hypergraphs," Applied Mathematics and Computation, Elsevier, vol. 285(C), pages 217-227.
  • Handle: RePEc:eee:apmaco:v:285:y:2016:i:c:p:217-227
    DOI: 10.1016/j.amc.2016.03.016
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    Cited by:

    1. Wang, Guiyan & Deng, Chunli & Bu, Changjiang, 2018. "Some upper bounds on Zt-eigenvalues of tensors," Applied Mathematics and Computation, Elsevier, vol. 329(C), pages 266-277.
    2. Duan, Cunxiang & Wang, Ligong, 2020. "The α-spectral radius of f-connected general hypergraphs," Applied Mathematics and Computation, Elsevier, vol. 382(C).

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