Some observations on the Laplacian–energy–like invariant of trees
Autor: | Matejić, Marjan, Milovanović, Igor, Milovanović, Emina, Bozkurt Altındaǧ, Şerife Burcu |
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Přispěvatelé: | Bozkurt Altındaǧ, Şerife Burcu |
Jazyk: | angličtina |
Rok vydání: | 2023 |
Předmět: | |
Popis: | WOS:000940603300008 Let G be a graph of order n. Denote by A the adjacency matrix of G and by D = diag(d1, …, dn) the diagonal matrix of vertex degrees of G. The Laplacian matrix of G is defined as L = D − A. Let µ1, µ2, · · ·, µn−1, µn be eigenvalues of L satisfying (formula presented). The Laplacian-energy–like invariant is a graph invariant defined as (formula presented). Improved upper bounds for LEL(G) are obtained and compared when G has a tree structure. © 2022 the authors. |
Databáze: | OpenAIRE |
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