Generalized the Divisor Sum Tk-Function of Graph

Volume 8, Issue 2, Article 4 - 2020

Authors: Hariwan Fadhil M.Salih;Nechirvan Badal Ibrahim

Copyright © 2020 . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Abstract

Let G = (V, E) be a simple connected undirected graph. In this paper, we define generalized the divisor sum Tk-function of a graph which is the summation of the sum of divisor k-function of the degree of the vertices of a graph denoted by Tk(G) = P v2V(G) k(deg(v)) and determine the divisor sum Tk-function of some standard graphs and finally some results are proved.

How To Cite This Article

H. F. M. Salih and N. B. Ibrahim, Generalized the Divisor Sum Tk-Function of Graph, Gen.Lett. Math., 8(2) (2020), 67-74, https://doi.org/10.31559/glm2020.8.2.4