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Total Graphs Are Laplacian Integral.
- Source :
-
Algebra Colloquium . Sep2022, Vol. 29 Issue 3, p427-436. 10p. - Publication Year :
- 2022
-
Abstract
- We prove that the Laplacian matrix of the total graph of a finite commutative ring with identity has integer eigenvalues and present a recursive formula for computing its eigenvalues and eigenvectors. We also prove that the total graph of a finite commutative local ring with identity is super integral and give an example showing that this is not true for arbitrary rings. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10053867
- Volume :
- 29
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Algebra Colloquium
- Publication Type :
- Academic Journal
- Accession number :
- 158143715
- Full Text :
- https://doi.org/10.1142/S1005386722000323