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- Title
SOME PROPERTIES OF THE p-SPECTRAL RADIUS ON TENSORS FOR GENERAL HYPERGRAPHS AND THEIR APPLICATIONS.
- Authors
JUNHAO ZHANG; ZHONGXUN ZHU
- Abstract
Let H = (V,E) be a general hypergraph with rank m and co-rank mc and AH be its adjacency tensor, the p-spectral radius ρ(p)(H) of H is defined as ρ(p)(H)=maxx∈Sn-1p xT AHx, where Sn-1p = {x ∈ Rn| x |p=1}. For m = mc and p m, we know that there is a unique positive eigenvector x ∈ Sn-1p belonging to ρ(p)(H) and ρ(p)(H) can be computed by α -normal labeling method. In this paper, we generalize these properties to the case for m ≠ mc and some other properties are obtained. At the same time, some applications are also given on the properties attained in this paper.
- Subjects
TENSOR algebra; EIGENVECTORS; MATRICES (Mathematics); HYPERGRAPHS; OPERATOR theory; LINEAR algebra; VECTOR spaces
- Publication
Operators & Matrices, 2022, Vol 16, Issue 3, p925
- ISSN
1846-3886
- Publication type
Article
- DOI
10.7153/oam-2022-16-62