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

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dc.contributor.authorLuis Medina
dc.contributor.authorJonnathan Rodríguez
dc.contributor.authorMacarena Trigo
dc.date.accessioned2026-04-08T15:23:50Z
dc.date.available2026-04-08T15:23:50Z
dc.date.issued2024
dc.description.abstractIn this paper, we introduce the concepts of Harary Laplacian-energy-like for a simple undirected and connected graph Gwith ordern. 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.
dc.description.sponsorshipPrograma Regional MathAmSudcode AMSUD220015 MINEDUC-UA project code ANT1999. Initiation Program at Research-Universidad de Antofagasta, INI-19-06.
dc.identifier.doi10.3390/math12010002
dc.identifier.issn22277390
dc.identifier.urihttps://repositorioabierto.uantof.cl/handle/uantof/687
dc.language.isoen
dc.rightsAttribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.sourceMathematics
dc.titleNew Spectral Results for Laplacian Harary Matrix and the HararyLaplacian-Energy-like Applying a Matrix Order Reduction
dc.typeArticle
oaire.citation.volume12
organization.identifier.rorUniversidad de Antofagasta
uantof.identificator.departmentDepartamento de Física
uantof.identificator.facultyFacultad de Ciencias Básicas
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