Computing some Laplacian Coefficients of Forests

Let G be a finite simple graph with Laplacian polynomial ψG,λ=∑k=0n−1n−kckλk. In an earlier paper, the coefficients cn−4 and cn−5 for forests with respect to some degree-based graph invariants were computed. The aim of this paper is to continue this work by giving an exact formula for the coefficien...

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Main Authors: Ali Ghalavand, Ali Reza Ashrafi
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2022/8199547
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author Ali Ghalavand
Ali Reza Ashrafi
author_facet Ali Ghalavand
Ali Reza Ashrafi
author_sort Ali Ghalavand
collection DOAJ
description Let G be a finite simple graph with Laplacian polynomial ψG,λ=∑k=0n−1n−kckλk. In an earlier paper, the coefficients cn−4 and cn−5 for forests with respect to some degree-based graph invariants were computed. The aim of this paper is to continue this work by giving an exact formula for the coefficient cn−6.
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institution Kabale University
issn 1687-0042
language English
publishDate 2022-01-01
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record_format Article
series Journal of Applied Mathematics
spelling doaj-art-38210f1d40ca424782fa791b1d1c9c822025-02-03T06:12:25ZengWileyJournal of Applied Mathematics1687-00422022-01-01202210.1155/2022/8199547Computing some Laplacian Coefficients of ForestsAli Ghalavand0Ali Reza Ashrafi1Department of Pure MathematicsDepartment of Pure MathematicsLet G be a finite simple graph with Laplacian polynomial ψG,λ=∑k=0n−1n−kckλk. In an earlier paper, the coefficients cn−4 and cn−5 for forests with respect to some degree-based graph invariants were computed. The aim of this paper is to continue this work by giving an exact formula for the coefficient cn−6.http://dx.doi.org/10.1155/2022/8199547
spellingShingle Ali Ghalavand
Ali Reza Ashrafi
Computing some Laplacian Coefficients of Forests
Journal of Applied Mathematics
title Computing some Laplacian Coefficients of Forests
title_full Computing some Laplacian Coefficients of Forests
title_fullStr Computing some Laplacian Coefficients of Forests
title_full_unstemmed Computing some Laplacian Coefficients of Forests
title_short Computing some Laplacian Coefficients of Forests
title_sort computing some laplacian coefficients of forests
url http://dx.doi.org/10.1155/2022/8199547
work_keys_str_mv AT alighalavand computingsomelaplaciancoefficientsofforests
AT alirezaashrafi computingsomelaplaciancoefficientsofforests