On the bounds of degree-based topological indices of the Cartesian product of &ITF&IT-sum of connected graphs

被引：8

作者：

Imran, Muhammad ^{[1
,2
]}

Baby, Shakila ^{[3
]}

Siddiqui, Hafiz Muhammad Afzal ^{[4
]}

Shafiq, Muhammad Kashif ^{[3
]}

机构：

[1] United Arab Emirates Univ, Dept Math Sci, POB 15551, Al Ain, U Arab Emirates

[2] NUST, SNS, Dept Math, Sect H-12, Islamabad, Pakistan

[3] GCUF, Dept Math, Jhang Rd, Faisalabad, Punjab, Pakistan

[4] CIIT Ctr Hlth Res, Dept Math, Def Rd,Off Raiwind Rd, Lahore, Punjab, Pakistan

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2017年

关键词：

F-sum; Cartesian product; ABC-index; Zagreb index; GA-index; F-index; ATOM-BOND CONNECTIVITY; ZAGREB INDEX; MOLECULAR-ORBITALS; 4; OPERATIONS; NETWORKS; ALKANES;

D O I：

10.1186/s13660-017-1579-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Topological Indices are the mathematical tools that correlate the chemical structure with various physical properties, chemical reactivity or biological activity numerically. A topological Index Is a function having a set of graphs as Its domain and a set of real numbers as Its range. In QSAR/QSPR study, a prediction about the bioactivity of chemical compounds is made on the basis of physico-chemical properties and topological indices such as Zagreb, Randic and multiple Zagreb indices. In this paper, we determine the lower and upper bounds of Zagreb indices, the atom-bond connectivity (ABC) index, multiple Zagreb indices, the geometric-arithmetic (GA) index, the forgotten topological index and the Narumi-Katayama index for the Cartesian product of F-sum of connected graphs by using combinatorial inequalities.

引用

页数：14

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