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Algebraic connectivity of an even uniform hypergraph

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Abstract

We generalize Laplacian matrices for graphs to Laplacian tensors for even uniform hypergraphs and set some foundations for the spectral hypergraph theory based upon Laplacian tensors. Especially, algebraic connectivity of an even uniform hypergraph based on Z-eigenvalues of the corresponding Laplacian tensor is introduced and its connections with edge connectivity and vertex connectivity are discussed.

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Authors and Affiliations

  1. Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong

    Shenglong Hu & Liqun Qi

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  1. Shenglong Hu
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  2. Liqun Qi
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Correspondence to Liqun Qi.

Additional information

L. Qi was supported by the Hong Kong Research Grant Council.

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Hu, S., Qi, L. Algebraic connectivity of an even uniform hypergraph. J Comb Optim 24, 564–579 (2012). https://doi.org/10.1007/s10878-011-9407-1

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  • DOI: https://doi.org/10.1007/s10878-011-9407-1

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