Signless Laplacian Estrada index and Laplacian Estrada index of uniform hypergraphs
Abstract
We generalize the notions of Laplacian and signless Laplacian Estrada index to uniform hypergraphs. For an r-uniform hypergraph H, we derive an order r + 1 trace formula of the (signless) Laplacian tensor of H. Among others by using this trace formula, we obtain lower bounds for the signless Laplacian Estrada index and upper bounds for the Laplacian Estrada index. Moreover, we establish a bound involving both the Laplacian Estrada index and Laplacian energy of a uniform hypergraph.
Fields of Study & Subjects
Graph theory and applications
Tensor decomposition and applications
Advanced Graph Theory Research
Publication details
- Journal / source
- Linear and Multilinear Algebra
- Publisher
- Informa UK Limited
- Volume
- 74
- Issue
- 13
- Pages
- 1847–1862
- Publication date
- 7 August 2026
- Language
- EN