Laplacian energy and first Zagreb index of Laplacian integral graphs

Autor: Hameed Abdul, Khan Zia Ullah, Tyaglov Mikhail
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 30, Iss 2, Pp 133-160 (2022)
Druh dokumentu: article
ISSN: 1844-0835
DOI: 10.2478/auom-2022-0023
Popis: 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 and first Zagreb index of graphs whose Laplacian spectrum is Si,n.
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