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

G. H. Shirdel (), A. Mortezaee () and E. Golpar-raboky ()
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G. H. Shirdel: University of Qom
A. Mortezaee: University of Qom
E. Golpar-raboky: University of Qom

Indian Journal of Pure and Applied Mathematics, 2021, vol. 52, issue 1, 297-303

Abstract: 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.

Keywords: Hypergraph; Laplacian; Signless Laplacian; Tensor; H-eigenvalue (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s13226-021-00050-7

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