On the general zeroth-order randić index of bargraphs

Suresh Elumalai; Toufik Mansour

On the general zeroth-order randić index of bargraphs

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we study the bargraphs in the perspective of a well-known topological index, namely the general zeroth-order Randić index. More precisely, we show that the expected value of the general zeroth-order Randić index over all bargraphs with n cells isⁿ3^(3α+1 + 2^α + 3 · 2^2α−1) when n is large enough, where α is a non-zero real number.

Original language	English
Pages (from-to)	6-9
Number of pages	4
Journal	Discrete Mathematics Letters
Volume	2
State	Published - 2019

Bibliographical note

Publisher Copyright:
© 2019 the authors.

Keywords

Bargraphs
General first Zagreb index
General zeroth-order Randić index
Generating functions
Topological index

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics

Cite this

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title = "On the general zeroth-order randi{\'c} index of bargraphs",

abstract = "In this paper, we study the bargraphs in the perspective of a well-known topological index, namely the general zeroth-order Randi{\'c} index. More precisely, we show that the expected value of the general zeroth-order Randi{\'c} index over all bargraphs with n cells isn3(3α+1 + 2α + 3 · 22α−1) when n is large enough, where α is a non-zero real number.",

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AB - In this paper, we study the bargraphs in the perspective of a well-known topological index, namely the general zeroth-order Randić index. More precisely, we show that the expected value of the general zeroth-order Randić index over all bargraphs with n cells isn3(3α+1 + 2α + 3 · 22α−1) when n is large enough, where α is a non-zero real number.

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KW - General first Zagreb index

KW - General zeroth-order Randić index

KW - Generating functions

KW - Topological index

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ER -

On the general zeroth-order randić index of bargraphs

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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