Laplacian coefficients of trees

AuthorsA. Ghalavand and A. R. Ashrafi
JournalRad HAZU, Matematičke znanosti
Page number1-14
Volume number24
Paper TypeFull Paper
Published At2020
Journal GradeISI
Journal TypeTypographic
Journal CountryCroatia

Abstract

Let  G  be  a  simple  and  undirected  graph  with  Laplacian  polynomial  ψ(G, λ)  =  Σk=0n (-1)n-kck(Gk. In this paper, exact formulas for the coefficient cn-4 and the number of 4-matchings with respect to the Zagreb indices of a given tree are presented. The chemical trees with first through the fifteenth greatest cn-4-values are also determined.

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