The omega polynomial and the cluj-ilmenau index of an infinite class of the titania nanotubes TiO2(m,n)

Yun Liu; Mehdi Rezaei; Mohammad Reza Farahani; Mohamad Nazri Husin; Muhammad Imran

doi:10.1166/jctn.2017.6646

The omega polynomial and the cluj-ilmenau index of an infinite class of the titania nanotubes TiO₂(m,n)

Yun Liu, Mehdi Rezaei, Mohammad Reza Farahani, Mohamad Nazri Husin, Muhammad Imran

Department of Mathematical Sciences

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

19 Citations (Scopus)

Abstract

Let G = (V,E) be a simple connected molecular graph in chemical graph theory, where the vertex set and edge set of G denoted by V (G) and E(G) respectively and its vertices correspond to the atoms and the edges correspond to the bonds. The Omega polynomial φ(G,x) was introduced by Diudea in 2006 and this defined as φ(G,x) = Σ_c m(G,c)x_c where m(G,c) the number of qoc strips of length c. In this present study, we compute the omega polynomial the Cluj-Ilmenau index of an infinite class of the Titania Nanotubes TiO₂(m,n).

Original language	English
Pages (from-to)	3429-3432
Number of pages	4
Journal	Journal of Computational and Theoretical Nanoscience
Volume	14
Issue number	7
DOIs	https://doi.org/10.1166/jctn.2017.6646
Publication status	Published - Jul 2017

Keywords

Cluj-ilmenau index
Molecular graph
Omega polynomial
Titania nanotubes

ASJC Scopus subject areas

General Chemistry
General Materials Science
Condensed Matter Physics
Computational Mathematics
Electrical and Electronic Engineering

Access to Document

10.1166/jctn.2017.6646

Cite this

@article{b8e99504298e4860892a9473ad09e4ad,

title = "The omega polynomial and the cluj-ilmenau index of an infinite class of the titania nanotubes TiO2(m,n)",

abstract = "Let G = (V,E) be a simple connected molecular graph in chemical graph theory, where the vertex set and edge set of G denoted by V (G) and E(G) respectively and its vertices correspond to the atoms and the edges correspond to the bonds. The Omega polynomial φ(G,x) was introduced by Diudea in 2006 and this defined as φ(G,x) = Σc m(G,c)xc where m(G,c) the number of qoc strips of length c. In this present study, we compute the omega polynomial the Cluj-Ilmenau index of an infinite class of the Titania Nanotubes TiO2(m,n).",

keywords = "Cluj-ilmenau index, Molecular graph, Omega polynomial, Titania nanotubes",

author = "Yun Liu and Mehdi Rezaei and Farahani, {Mohammad Reza} and Husin, {Mohamad Nazri} and Muhammad Imran",

year = "2017",

month = jul,

doi = "10.1166/jctn.2017.6646",

language = "English",

volume = "14",

pages = "3429--3432",

journal = "Journal of Computational and Theoretical Nanoscience",

issn = "1546-1955",

publisher = "American Scientific Publishers",

number = "7",

}

TY - JOUR

T1 - The omega polynomial and the cluj-ilmenau index of an infinite class of the titania nanotubes TiO2(m,n)

AU - Liu, Yun

AU - Rezaei, Mehdi

AU - Farahani, Mohammad Reza

AU - Husin, Mohamad Nazri

AU - Imran, Muhammad

PY - 2017/7

Y1 - 2017/7

N2 - Let G = (V,E) be a simple connected molecular graph in chemical graph theory, where the vertex set and edge set of G denoted by V (G) and E(G) respectively and its vertices correspond to the atoms and the edges correspond to the bonds. The Omega polynomial φ(G,x) was introduced by Diudea in 2006 and this defined as φ(G,x) = Σc m(G,c)xc where m(G,c) the number of qoc strips of length c. In this present study, we compute the omega polynomial the Cluj-Ilmenau index of an infinite class of the Titania Nanotubes TiO2(m,n).

AB - Let G = (V,E) be a simple connected molecular graph in chemical graph theory, where the vertex set and edge set of G denoted by V (G) and E(G) respectively and its vertices correspond to the atoms and the edges correspond to the bonds. The Omega polynomial φ(G,x) was introduced by Diudea in 2006 and this defined as φ(G,x) = Σc m(G,c)xc where m(G,c) the number of qoc strips of length c. In this present study, we compute the omega polynomial the Cluj-Ilmenau index of an infinite class of the Titania Nanotubes TiO2(m,n).

KW - Cluj-ilmenau index

KW - Molecular graph

KW - Omega polynomial

KW - Titania nanotubes

UR - http://www.scopus.com/inward/record.url?scp=85027453625&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85027453625&partnerID=8YFLogxK

U2 - 10.1166/jctn.2017.6646

DO - 10.1166/jctn.2017.6646

M3 - Article

AN - SCOPUS:85027453625

SN - 1546-1955

VL - 14

SP - 3429

EP - 3432

JO - Journal of Computational and Theoretical Nanoscience

JF - Journal of Computational and Theoretical Nanoscience

IS - 7

ER -