Laplacian energy and first Zagreb index of Laplacian integral graphs

The set Si,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 Si,n. The existence of such graphs was established by S. Fallat et all. In the present paper, we find the Laplacian energy...

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Bibliographic Details
Main Authors: Hameed Abdul, Khan Zia Ullah, Tyaglov Mikhail
Format: Article
Language:English
Published: Sciendo 2022-05-01
Series:Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Subjects:
Online Access:https://doi.org/10.2478/auom-2022-0023