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Here, we show a method to reconstruct connectivity hypermatrices of a general hypergraph (without any self loop or multiple edge) using tensor.
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V.I. Voloshin. Introduction to Graph and Hypergraph Theory, Nova Science Publishers Inc, 2012
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S. Hu, L. Qi, J-Y Shao. Cored hypergraphs, power hypergraphs and their Laplacian H-eigenvalues. Linear Algebra and its Applications, 439:2980-2998, 2013
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S. Hu, L. Qi. The eigenvectors associated with the zero eigenvalues of the Laplacian and signless Laplacian tensors of a uniform hypergraph, Discrete Applied Mathematics, 169:140-151, 2014
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K.J. Pearson, T. Zhang. On spectral hypergraph theory of the adjacency tensor. Graphs and Combinatorics, 30:1233-1248, 2014
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L. Qi. H + H^{+} eigenvalues of laplacian and signless laplacian tensor. Communications in Mathematical Sciences, 12(6):1045-1064,2014
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L. Qi, J. Shao, Q. Wang. Regular uniform hypergraphs, s-cycles, s-paths and their largest Laplacian H-eigenvalues. Linear Algebra and its Applications, 443:215-227, 2014
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S. Hu, Z. Huang, C. Ling, L. Qi.On determinants and eigenvalue theory of tensors. Journal of Symbolic Computation, 50:508-531, 2013
2013
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G.Li, L.Qi, G.Yu. The Z-eigenvalues of a symmetric tensor and its application to spectral hypergraph theory. Numerical Linear Algebra with Applications, 20:1001-1029, 2013
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J. Shao. A general product of tensors with applications. Linear Algebra and its applications, 439:2350-2366, 2013
2013
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2014
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S. Hu, L. Qi. The Laplacian of a uniform hypergraph. Journal of Combinatorial Optimization,29(2):331-366, 2015
2015
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S. Hu, L. Qi, J. Xie. The largest Laplacian and signless Laplacian H-eigenvalues of a uniform hypergraph. Linear Algebra and its Applications, 469:1-27, 2015
2015
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K.J. Pearson. Spectral hypergraph theory of the adjacency hypermatrix and matroids. Linear Algebra and its Applications, 465:176-187, 2015
2015
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