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On the construction of cospectral graphs for the adjacency and the normalized Laplacian matrices.
- Source :
-
Linear & Multilinear Algebra . Oct2022, Vol. 70 Issue 15, p3009-3030. 22p. - Publication Year :
- 2022
-
Abstract
- In [A note about cospectral graphs for the adjacency and normalized Laplacian matrices. Linear Multilinear Algebra. 2010;58(3-4):387–390], Butler constructed a family of bipartite graphs, which are cospectral for both the adjacency and the normalized Laplacian matrices. In this article, we extend this construction for generating larger classes of bipartite graphs, which are cospectral for both the adjacency and the normalized Laplacian matrices. Also, we provide a couple of constructions of non-bipartite graphs, which are cospectral for the adjacency matrices but not necessarily for the normalized Laplacian matrices. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LAPLACIAN matrices
*MULTILINEAR algebra
*BIPARTITE graphs
Subjects
Details
- Language :
- English
- ISSN :
- 03081087
- Volume :
- 70
- Issue :
- 15
- Database :
- Academic Search Index
- Journal :
- Linear & Multilinear Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 159583038
- Full Text :
- https://doi.org/10.1080/03081087.2020.1821594