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$${\mathcal {C}}^k_{m,s}$$ C m , s k as a k-uniform hypergraph and some its properties

Author

Listed:
  • G. H. Shirdel

    (University of Qom)

  • A. Mortezaee

    (University of Qom)

  • E. Golpar-raboky

    (University of Qom)

Abstract

Hypergraphs are important data structures that are used abundantly in modern science for analyzing complex and big data. One of the most interesting and highly application in hypergraph theory is the spectral theory that is taken into consideration in recent years. In this paper we introduce $$\mathcal {C}^k_{m,s}$$ C m , s k as an extension of the cycle in graph theory which is not a power hypergraph and nor a cored hypergraph. We show that it is regular and odd-bipartite if m is even. Also a necessary and sufficient condition for odd-bipartition whenever m is odd is presented. Finally we give some spectral properties of it.

Suggested Citation

  • G. H. Shirdel & A. Mortezaee & E. Golpar-raboky, 2021. "$${\mathcal {C}}^k_{m,s}$$ C m , s k as a k-uniform hypergraph and some its properties," Indian Journal of Pure and Applied Mathematics, Springer, vol. 52(1), pages 297-303, March.
    • Handle: RePEc:spr:indpam:v:52:y:2021:i:1:d:10.1007_s13226-021-00050-7
    DOI: 10.1007/s13226-021-00050-7
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    References listed on IDEAS

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    1. Shenglong Hu & Liqun Qi, 2015. "The Laplacian of a uniform hypergraph," Journal of Combinatorial Optimization, Springer, vol. 29(2), pages 331-366, February.
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