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A Note on the Estrada Index of the A α -Matrix.
- Source :
-
Mathematics (2227-7390) . Apr2021, Vol. 9 Issue 8, p811. 1p. - Publication Year :
- 2021
-
Abstract
- Let G be a graph on n vertices. The Estrada index of G is an invariant that is calculated from the eigenvalues of the adjacency matrix of a graph. V. Nikiforov studied hybrids of A (G) and D (G) and defined the A α -matrix for every real α ∈ [ 0 , 1 ] as: A α (G) = α D (G) + (1 − α) A (G). In this paper, using a different demonstration technique, we present a way to compare the Estrada index of the A α -matrix with the Estrada index of the adjacency matrix of the graph G. Furthermore, lower bounds for the Estrada index are established. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LAPLACIAN matrices
*EIGENVALUES
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 9
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 150436068
- Full Text :
- https://doi.org/10.3390/math9080811