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Spectral properties of general directed and undirected hypergraphs

Char, Arnab (2018) Spectral properties of general directed and undirected hypergraphs. Masters thesis, Indian Institute of Science Education and Research Kolkata.

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    Abstract

    We show a method to reconstruct connectivity hypermatrices of a general hypergraph (without any self loop or multiple edge) using hypermatrix. We also study the different spectral properties of these hypermatrices and find that these properties are similar for graphs and uniform hypergraphs. The representation of a connectivity hypermatrix that is proposed here can be very useful for the further development in spectral hypergraph theory. We also represent general directed uniform and non-uniform hypergraphs by adjacency and Laplacian hypermatrices and study their spectral properties.

    Item Type: Thesis (Masters)
    Additional Information: Supervisor: Dr. Anirban Banerjee
    Uncontrolled Keywords: Spectral Properties; Directed Hypergraphs; Hypermatrices; Undirected Hypergraphs
    Subjects: Q Science > QA Mathematics
    Divisions: Department of Mathematics and Statistics
    Depositing User: IISER Kolkata Librarian
    Date Deposited: 28 Dec 2018 10:26
    Last Modified: 28 Dec 2018 10:26
    URI: http://eprints.iiserkol.ac.in/id/eprint/790

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