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On the lower bound for Laplacian resolvent energy through majorization.
- Source :
-
Discrete Mathematics, Algorithms & Applications . Apr2024, p1. 10p. - Publication Year :
- 2024
-
Abstract
- For a simple connected graph G of order n with Laplacian eigenvalues μ1 ≥ μ2 ≥⋯ ≥ μn−1 > μn = 0, the Laplacian resolvent energy of G is defined as RL(G) =∑i=1n 1 n+1−μi. In this paper, we provide an improved lower bound for RL(G) through majorization. Considering our lower bound, we also derive some lower bounds for RL(G) when the graph G possesses tree structure. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17938309
- Database :
- Academic Search Index
- Journal :
- Discrete Mathematics, Algorithms & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 176369097
- Full Text :
- https://doi.org/10.1142/s179383092450023x