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

Funding Information:
We thank the anonymous reviewers for their careful reading of our manuscript and their insightful comments and suggestions. The first author’s research is supported by the University of Haifa, Israel, for the postdoctoral studies and it is gratefully acknowledged.

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

@article{d4daccd087394571a474b84331f3365b,

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.",

keywords = "Bargraphs, General first Zagreb index, General zeroth-order Randi{\'c} index, Generating functions, Topological index",

author = "Suresh Elumalai and Toufik Mansour",

note = "Funding Information: We thank the anonymous reviewers for their careful reading of our manuscript and their insightful comments and suggestions. The first author{\textquoteright}s research is supported by the University of Haifa, Israel, for the postdoctoral studies and it is gratefully acknowledged. Publisher Copyright: {\textcopyright} 2019 the authors.",

year = "2019",

language = "English",

volume = "2",

pages = "6--9",

journal = "Discrete Mathematics Letters",

issn = "2664-2557",

publisher = "Shahin Digital Publisher",

}

TY - JOUR

T1 - On the general zeroth-order randić index of bargraphs

AU - Elumalai, Suresh

AU - Mansour, Toufik

N1 - Funding Information: We thank the anonymous reviewers for their careful reading of our manuscript and their insightful comments and suggestions. The first author’s research is supported by the University of Haifa, Israel, for the postdoctoral studies and it is gratefully acknowledged. Publisher Copyright: © 2019 the authors.

PY - 2019

Y1 - 2019

N2 - 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.

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.

KW - Bargraphs

KW - General first Zagreb index

KW - General zeroth-order Randić index

KW - Generating functions

KW - Topological index

UR - http://www.scopus.com/inward/record.url?scp=85087171970&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85087171970

VL - 2

SP - 6

EP - 9

JO - Discrete Mathematics Letters

JF - Discrete Mathematics Letters

SN - 2664-2557

ER -

On the general zeroth-order randić index of bargraphs

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this