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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2022-01-01
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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. |
format | Article |
id | doaj-art-38210f1d40ca424782fa791b1d1c9c82 |
institution | Kabale University |
issn | 1687-0042 |
language | English |
publishDate | 2022-01-01 |
publisher | Wiley |
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 |