Laplacian energy and first Zagreb index of Laplacian integral graphs

Abdul Hameed; Zia Ullah Khan; Mikhail Tyaglov

doi:10.2478/auom-2022-0023

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Laplacian energy and first Zagreb index of Laplacian integral graphs

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 30 (2022): Issue 2 (May 2022)

By: Abdul Hameed, Zia Ullah Khan and Mikhail Tyaglov

Open Access

|Jun 2022

Abstract

The set S_i,n = {0, 1, 2, …, i − 1, i + 1, …, n − 1, n}, 1 ⩽ i ⩽ n, is called Laplacian realizable if there exists a simple connected undirected graph whose Laplacian spectrum is S_i,n. The existence of such graphs was established by S. Fallat et all. In the present paper, we find the Laplacian energy and first Zagreb index of graphs whose Laplacian spectrum is S_i,n.

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2022-0023 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 133 - 160

Submitted on: Jul 13, 2021

Accepted on: Nov 10, 2021

Published on: Jun 2, 2022

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Laplacian matrix,

Laplacian integral graphs,

Related subjects:

© 2022 Abdul Hameed, Zia Ullah Khan, Mikhail Tyaglov, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 30 (2022): Issue 2 (May 2022)