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Independence number and the normalized Laplacian eigenvalue one.
- Source :
-
Discrete Mathematics, Algorithms & Applications . Nov2023, Vol. 15 Issue 8, p1-13. 13p. - Publication Year :
- 2023
-
Abstract
- In this paper, we prove that every simple connected graph with α > n 2 has 1 as a normalized Laplacian eigenvalue with multiplicity at least 2 α − n , where n and α are the order and the independence number of the graph, respectively. Then we investigate graphs with α ≤ n 2 and having or not having 1 as a normalized Laplacian eigenvalue. [ABSTRACT FROM AUTHOR]
- Subjects :
- *EIGENVALUES
*MULTIPLICITY (Mathematics)
Subjects
Details
- Language :
- English
- ISSN :
- 17938309
- Volume :
- 15
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Discrete Mathematics, Algorithms & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 169947327
- Full Text :
- https://doi.org/10.1142/S1793830922501749