Upper Bounds on the Second Multiplicative Zagreb Coindex

被引：0

作者：

Nezhad, F. Falahati ^{[1
]}

Iranmanesh, A. ^{[2
]}

Tehranian, A. ^{[1
]}

Azari, M. ^{[3
]}

机构：

[1] Islamic Azad Univ, Sci & Res Branch, Dept Math, Tehran, Iran

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

[3] Islamic Azad Univ, Kazerun Branch, Dept Math, Kazerun, Iran

来源：

UTILITAS MATHEMATICA | 2015年 / 96卷

关键词：

ECCENTRIC-DISTANCE SUM; TOPOLOGICAL INDEXES; GRAPH-THEORY; INVARIANTS; TREES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The second multiplicative Zagreb coindex of a graph G is defined as: (Pi) over bar (2) (G) = Pi(uv is not an element of E(G)) d(G) (u) d(G) (v), where dG (u) denotes the degree of the vertex u of G. In this paper, we present several upper bounds on (Pi) over bar (2)-index in terms of some graph parameters such as the order, size, radius and minimum degree, and some graph invariants such as the Wiener index, Schultz index, eccentric connectivity index, total eccentricity, eccentric-distance sum, Zagreb indices, the first multiplicative Zagreb index, and the second Zagreb coindex.

引用

页码：79 / 88

页数：10

共 30 条

[1] Computing the Eccentricity-Related Invariants of Single-Defect Carbon Nanocones
Alizadeh, Yasser
Azari, Mahdieh
Doslic, Tomislav
[J]. JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 2013, 10 (06) : 1297 - 1300
[2] The Zagreb coindices of graph operations
Ashrafi, A. R.
Doslic, T.
Hamzeh, A.
[J]. DISCRETE APPLIED MATHEMATICS, 2010, 158 (15) : 1571 - 1578
[3] Azari M, 2013, MATCH-COMMUN MATH CO, V70, P921
[4] Azari M, 2011, STUD U BABES-BOL CHE, V56, P59
[5] Azari M, 2013, MATCH-COMMUN MATH CO, V70, P901
[6] Computing the eccentric-distance sum for graph operations
Azari, Mandieh
Iranmanesh, Ali
[J]. DISCRETE APPLIED MATHEMATICS, 2013, 161 (18) : 2827 - 2840
[7] Cvetkovski Z., 2012, INEQUALITIES THEOREM
[8] Dankelmann P, 2004, UTILITAS MATHEMATICA, V65, P41
[9] The multiplicative Zagreb indices of graph operations
Das, Kinkar C.
Yurttas, Aysun
Togan, Muge
Cevik, Ahmet Sinan
Cangul, Ismail Naci
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[10] Predicting anti-HIV-1 activity of 6-arylbenzonitriles: Computational approach using superaugmented eccentric connectivity topochemical indices
Dureja, Harish
Gupta, Sunil
Madan, A. K.
[J]. JOURNAL OF MOLECULAR GRAPHICS & MODELLING, 2008, 26 (06) : 1020 - 1029

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