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- W2912992244 abstract "Unlike an irreducible $Z$-matrices, a weakly irreducible $Z$-tensor $mathcal{A}$ can have more than one eigenvector associated with the least H-eigenvalue. We show that there are finitely many eigenvectors of $mathcal{A}$ associated with the least H-eigenvalue. If $mathcal{A}$ is further combinatorial symmetric, the number of such eigenvectors can be obtained explicitly by the Smith normal form of the incidence matrix of $mathcal{A}$. When applying to a connected uniform hypergraph $G$, we prove that the number of Laplacian eigenvectors of $G$ associated with the zero eigenvalue is equal to the the number of adjacency eigenvectors of $G$ associated with the spectral radius, which is also equal to the number of signless Laplacian eigenvectors of $G$ associated with the zero eigenvalue if zero is an signless Laplacian eigenvalue." @default.
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- W2912992244 date "2019-01-24" @default.
- W2912992244 modified "2023-09-24" @default.
- W2912992244 title "Eigenvectors of Z-tensors associated with least H-eigenvalue with application to hypergraphs" @default.
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