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The stabilizing index and cyclic index of the coalescence and Cartesian product of uniform hypergraphs.
- Source :
-
Journal of Combinatorial Theory - Series A . Jan2022, Vol. 185, pN.PAG-N.PAG. 1p. - Publication Year :
- 2022
-
Abstract
- Let G be connected uniform hypergraph and let A (G) be the adjacency tensor of G. The stabilizing index of G is exactly the number of eigenvectors of A (G) associated with the spectral radius, and the cyclic index of G is exactly the number of eigenvalues of A (G) with modulus equal to the spectral radius. Let G 1 ⊙ G 2 and G 1 □ G 2 be the coalescence and Cartesian product of connected m -uniform hypergraphs G 1 and G 2 respectively. In this paper, we give explicit formulas for the stabilizing indices and cyclic indices of G 1 ⊙ G 2 and G 1 □ G 2 in terms of those of G 1 and G 2 or the invariant divisors of their incidence matrices over Z m , respectively. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HYPERGRAPHS
*EIGENVECTORS
*EIGENVALUES
*MATRICES (Mathematics)
Subjects
Details
- Language :
- English
- ISSN :
- 00973165
- Volume :
- 185
- Database :
- Academic Search Index
- Journal :
- Journal of Combinatorial Theory - Series A
- Publication Type :
- Academic Journal
- Accession number :
- 152903655
- Full Text :
- https://doi.org/10.1016/j.jcta.2021.105537