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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sg-ntu-dr.10356-1806352024-10-16T01:12:07Z On stabilizing index and cyclic index of certain amalgamated uniform hypergraphs Ku, Cheng Yeaw Wong, Kok Bin School of Physical and Mathematical Sciences Mathematical Sciences Eigenvalues 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 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. Ministry of Education (MOE) The author Cheng Yeaw Ku is supported by Singapore Ministry of Education AcRF Tier 1 grant RG17/20. 2024-10-16T01:12:07Z 2024-10-16T01:12:07Z 2024 Journal Article Ku, C. Y. & Wong, K. B. (2024). On stabilizing index and cyclic index of certain amalgamated uniform hypergraphs. Linear Algebra and Its Applications, 703, 109-136. https://dx.doi.org/10.1016/j.laa.2024.08.020 0024-3795 https://hdl.handle.net/10356/180635 10.1016/j.laa.2024.08.020 2-s2.0-85203433963 703 109 136 en RG17/20 Linear Algebra and Its Applications © 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies. |
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Asia |
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Singapore Singapore |
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Mathematical Sciences Eigenvalues Hypergraphs |
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Mathematical Sciences Eigenvalues Hypergraphs Ku, Cheng Yeaw Wong, Kok Bin On stabilizing index and cyclic index of certain amalgamated uniform hypergraphs |
| description |
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. |
| author2 |
School of Physical and Mathematical Sciences |
| author_facet |
School of Physical and Mathematical Sciences Ku, Cheng Yeaw Wong, Kok Bin |
| format |
Article |
| author |
Ku, Cheng Yeaw Wong, Kok Bin |
| author_sort |
Ku, Cheng Yeaw |
| title |
On stabilizing index and cyclic index of certain amalgamated uniform hypergraphs |
| title_short |
On stabilizing index and cyclic index of certain amalgamated uniform hypergraphs |
| title_full |
On stabilizing index and cyclic index of certain amalgamated uniform hypergraphs |
| title_fullStr |
On stabilizing index and cyclic index of certain amalgamated uniform hypergraphs |
| title_full_unstemmed |
On stabilizing index and cyclic index of certain amalgamated uniform hypergraphs |
| title_sort |
on stabilizing index and cyclic index of certain amalgamated uniform hypergraphs |
| publishDate |
2024 |
| url |
https://hdl.handle.net/10356/180635 |
| _version_ |
1814777750782738432 |