Chinglensana Phanjoubam and Sainkupar Mn Mawiong

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 28, 2022, Number 3, Pages 383–398

DOI: 10.7546/nntdm.2022.28.3.383-398

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## Details

### Authors and affiliations

**Chinglensana Phanjoubam**

*Department of Mathematics, North-Eastern Hill University
Shillong-793022, India*

**Sainkupar Mn Mawiong**

*Department of Basic Sciences and Social Sciences, North-Eastern Hill University
Shillong-793022, India*

### Abstract

The Laplacian-energy-like invariant of a finite simple graph is the sum of square roots of all its Laplacian eigenvalues and the incidence energy is the sum of square roots of all its signless Laplacian eigenvalues. In this paper, we give the bounds on the Laplacian-energy-like invariant and incidence energy of the corona and edge corona of two graphs. We also observe that the bounds on the Laplacian-energy-like invariant and incidence energy of the corona and edge corona are sharp when the graph is the corona or edge corona of two complete graphs.

### Keywords

- Laplacian-energy-like invariant
- Incidence energy
- Corona
- Edge corona
- Ozeki’s inequality

### 2020 Mathematics Subject Classification

- 05C07
- 05C50
- 05C76

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### Manuscript history

- Received: 11 May 2021
- Revised: 29 May 2022
- Accepted: 5 July 2022
- Online First: 8 July 2022

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## Cite this paper

Phanjoubam, C., & Mawiong, S. M. (2022). Bounds on some energy-like invariants of corona and edge corona of graphs. *Notes on Number Theory and Discrete Mathematics*, 28(3), 383-398, DOI: 10.7546/nntdm.2022.28.3.383-398.