On stabilizing index and cyclic index of certain amalgamated uniform hypergraphs

Ku, Cheng Yeaw and Wong, Kok Bin (2024) On stabilizing index and cyclic index of certain amalgamated uniform hypergraphs. Linear Algebra and its Applications, 703. pp. 109-136. ISSN 0024-3795, DOI https://doi.org/10.1016/j.laa.2024.08.020.

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Abstract

Let C be a connected uniform hypergraph and A(C) be the adjacency tensor of C. The largest absolute value of the eigenvalues of A(C) is called the spectral radius of C. The number of eigenvectors of A(C) associated with the spectral radius is called the stabilizing index of C. The number of eigenvalues of A(C) with modulus equal to the spectral radius is called the cyclic index of C. In this paper, we consider a class of amalgamated uniform hypergraphs and compute its stabilizing index and cyclic index.

Item Type: Article
Funders: Ministry of Education - Singapore [Grant no. RG17/20]
Uncontrolled Keywords: Eigenvalues; Hypergraphs
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Institute of Mathematical Sciences
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 22 Oct 2025 02:07
Last Modified: 22 Oct 2025 02:07
URI: http://eprints.um.edu.my/id/eprint/46493

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