New Spectral Results for Laplacian Harary Matrix and the Harary Laplacian-Energy-like Applying a Matrix Order Reduction

Autor: Luis Medina, Jonnathan Rodríguez, Macarena Trigo
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Mathematics, Vol 12, Iss 1, p 2 (2023)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math12010002
Popis: In this paper, we introduce the concepts of Harary Laplacian-energy-like for a simple undirected and connected graph G with order n. We also establish novel matrix results in this regard. Furthermore, by employing matrix order reduction techniques, we derive upper and lower bounds utilizing existing graph invariants and vertex connectivity. Finally, we characterize the graphs that achieve the aforementioned bounds by considering the generalized join operation of graphs.
Databáze: Directory of Open Access Journals