Abstract
Let \(\mathcal {A}\) be the adjacency tensor of a general hypergraph H. For any real number \(p\ge 1\), the p-spectral radius \(\lambda ^{(p)}(H)\) of H is defined as \(\lambda ^{(p)}(H)=\max \{x^{\mathrm {T}}(\mathcal {A}x)\,|\,x\in {\mathbb {R}}^n, \Vert x\Vert _p=1\}\). In this paper we present some bounds on entries of the nonnegative unit eigenvector corresponding to the p-spectral radius of H, which generalize the relevant results of uniform hypergraphs/graphs in the literature.
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Research was partially supported by NSFC (Grant Numbers 11871329, 11571222)
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Kang, L., Liu, L. & Shan, E. The eigenvectors to the p-spectral radius of general hypergraphs. J Comb Optim 38, 556–569 (2019). https://doi.org/10.1007/s10878-019-00393-2
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DOI: https://doi.org/10.1007/s10878-019-00393-2