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On the distance signless Laplacian Estrada index of graphs
- Source :
- Asian-European Journal of Mathematics. 15
- Publication Year :
- 2021
- Publisher :
- World Scientific Pub Co Pte Ltd, 2021.
-
Abstract
- The distance signless Laplacian eigenvalues [Formula: see text] of a connected graph [Formula: see text] are the eigenvalues of the distance signless Laplacian matrix of [Formula: see text], defined as [Formula: see text], where [Formula: see text] is the distance matrix of [Formula: see text] and [Formula: see text] is the diagonal matrix of vertex transmissions of [Formula: see text]. In this paper, we define and investigate the distance signless Laplacian Estrada index of a graph [Formula: see text] as [Formula: see text], and obtain some upper and lower bounds for [Formula: see text] in terms of other graph invariants. We also obtain some relations between [Formula: see text] and the auxiliary distance signless Laplacian energy of [Formula: see text].
- Subjects :
- Combinatorics
Matrix (mathematics)
Estrada index
Computer Science::Information Retrieval
General Mathematics
Astrophysics::Instrumentation and Methods for Astrophysics
Computer Science::General Literature
Computer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)
Mathematics::Spectral Theory
Signless laplacian
Connectivity
Eigenvalues and eigenvectors
Mathematics
Subjects
Details
- ISSN :
- 17937183 and 17935571
- Volume :
- 15
- Database :
- OpenAIRE
- Journal :
- Asian-European Journal of Mathematics
- Accession number :
- edsair.doi...........8dc0088ba4a01ee1636b8b43695d498f