Some Properties of the Signless Laplacian and Normalized Laplacian Tensors of General Hypergraphs
نویسندگان
چکیده
منابع مشابه
H-eigenvalues of Laplacian and Signless Laplacian Tensors
We propose a simple and natural definition for the Laplacian and the signless Laplacian tensors of a uniform hypergraph. We study their H-eigenvalues, i.e., H-eigenvalues with nonnegative H-eigenvectors, and H-eigenvalues, i.e., H-eigenvalues with positive H-eigenvectors. We show that each of the Laplacian tensor, the signless Laplacian tensor, and the adjacency tensor has at most one H-eigenva...
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15 صفحه اولThe Signless Laplacian Estrada Index of Unicyclic Graphs
For a simple graph $G$, the signless Laplacian Estrada index is defined as $SLEE(G)=sum^{n}_{i=1}e^{q^{}_i}$, where $q^{}_1, q^{}_2, dots, q^{}_n$ are the eigenvalues of the signless Laplacian matrix of $G$. In this paper, we first characterize the unicyclic graphs with the first two largest and smallest $SLEE$'s and then determine the unique unicyclic graph with maximum $SLEE$ a...
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ژورنال
عنوان ژورنال: Taiwanese Journal of Mathematics
سال: 2020
ISSN: 1027-5487
DOI: 10.11650/tjm/190606