Eigenvariety of nonnegative symmetric weakly irreducible tensors associated with spectral radius and its application to hypergraphs

DOI10.1016/j.laa.2018.11.027zbMath1407.15033arXiv1707.07414OpenAlexW2798642478WikidataQ114152327 ScholiaQ114152327MaRDI QIDQ1715836

Yi-Zheng Fan, Yan-Hong Bao, Tao Huang

Publication date: 29 January 2019

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.07414

zbMATH Keywords

tensorhypergraphspectral radiusmoduleprojective variety

Mathematics Subject Classification ID

Hypergraphs (05C65) Eigenvalues, singular values, and eigenvectors (15A18) Projective techniques in algebraic geometry (14N05) Multilinear algebra, tensor calculus (15A69) Solving polynomial systems; resultants (13P15)

Related Items (12)

A spectral method to incidence balance of oriented hypergraphs and induced signed hypergraphs ⋮ Spectra of weighted uniform hypertrees ⋮ The cyclic index of adjacency tensor of generalized power hypergraphs ⋮ The linear unicyclic hypergraph with the second or third largest spectral radius ⋮ A combinatorial method for computing characteristic polynomials of starlike hypergraphs ⋮ The trace and Estrada index of uniform hypergraphs with cut vertices ⋮ The spectral property of hypergraph coverings ⋮ Minimal non-odd-transversal hypergraphs and minimal non-odd-bipartite hypergraphs ⋮ The stabilizing index and cyclic index of the coalescence and Cartesian product of uniform hypergraphs ⋮ Eigenvectors of Laplacian or signless Laplacian of hypergraphs associated with zero eigenvalue ⋮ The dimension of eigenvariety of nonnegative tensors associated with spectral radius ⋮ Least H-eigenvalue of adjacency tensor of hypergraphs with cut vertices

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