On stabilizing index and cyclic index of certain amalgamated uniform hypergraphs

On stabilizing index and cyclic index of certain amalgamated uniform hypergraphs

Let G be a connected uniform hypergraph and A(G) be the adjacency tensor of G. The largest absolute value of the eigenvalues of A(G) is called the spectral radius of G. The number of eigenvectors of A(G) associated with the spectral radius is called the stabilizing index of G. The number of eigenval...

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Bibliographic Details
Main Authors: Ku, Cheng Yeaw, Wong, Kok Bin
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2024
Subjects:
Mathematical Sciences
Eigenvalues
Hypergraphs
Online Access:https://hdl.handle.net/10356/180635
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Institution: Nanyang Technological University
Language: English
Description
Summary:Let G be a connected uniform hypergraph and A(G) be the adjacency tensor of G. The largest absolute value of the eigenvalues of A(G) is called the spectral radius of G. The number of eigenvectors of A(G) associated with the spectral radius is called the stabilizing index of G. The number of eigenvalues of A(G) with modulus equal to the spectral radius is called the cyclic index of G. In this paper, we consider a class of amalgamated uniform hypergraphs and compute its stabilizing index and cyclic index.

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