ON THE EDGE VERSION OF GEOMETRIC-ARITHMETIC INDEX

被引：0

作者：

Mahmiani, Anehgaldi ^{[2
]}

Khormali, Omid ^{[1
]}

Iranmanesh, A. ^{[3
]}

机构：

[1] Tarbiat Modares Univ, ACECR, Math & Informat Res Grp, Tehran, Iran

[2] Payame Noor Univ, Dept Math, Tehran, Iran

[3] Tarbiat Modares Univ, Dept Pure Math, Fac Math Sci, Tehran, Iran

来源：

DIGEST JOURNAL OF NANOMATERIALS AND BIOSTRUCTURES | 2012年 / 7卷 / 02期

关键词：

Geometric-arithmetic index; Line graph; Degree (of a vertex);

D O I：

暂无

中图分类号：

TB3 [工程材料学];

学科分类号：

0805 ; 080502 ;

摘要：

The edge version of geometric-arithmetic index of graphs is introduced based on the end-vertex degrees of edges of their line graphs and some properties especially lower and upper bounds and the relation between vertex and edge versions are obtained.

引用

页码：411 / 414

页数：4

共 10 条

[1] A new geometric-arithmetic index [J].

Fath-Tabar, Gholamhossein ;

Furtula, Boris ;

Gutman, Ivan .

JOURNAL OF MATHEMATICAL CHEMISTRY, 2010, 47 (01) :477-486

[2]

Gutman I., 2008, Recent Results in the Theory of Randi Index

[3]

Iranmanesh A, 2009, MATCH-COMMUN MATH CO, V61, P663

[4]

Li X., 2006, Mathematical Chemistry Monographs

[5]

Nordhaus E. A., 1956, Amer. Math. Monthly, V63, P175, DOI DOI 10.2307/2306658

[6] CHARACTERIZATION OF MOLECULAR BRANCHING [J].

RANDIC, M .

JOURNAL OF THE AMERICAN CHEMICAL SOCIETY, 1975, 97 (23) :6609-6615

[7]

Todeschini R., 2008, Handbook of Molecular Descriptors

[8] Topological index based on the ratios of geometrical and arithmetical means of end-vertex degrees of edges [J].

Vukicevic, Damir ;

Furtula, Boris .

JOURNAL OF MATHEMATICAL CHEMISTRY, 2009, 46 (04) :1369-1376

[9] STRUCTURAL DETERMINATION OF PARAFFIN BOILING POINTS [J].

WIENER, H .

JOURNAL OF THE AMERICAN CHEMICAL SOCIETY, 1947, 69 (01) :17-20

[10] On geometric-arithmetic index [J].

Yuan, Yan ;

Zhou, Bo ;

Trinajstic, Nenad .

JOURNAL OF MATHEMATICAL CHEMISTRY, 2010, 47 (02) :833-841

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