TY - JOUR

T1 - On the bounds of degree-based topological indices of the Cartesian product of F-sum of connected graphs

AU - Imran, Muhammad

AU - Baby, Shakila

AU - Siddiqui, Hafiz Muhammad Afzal

AU - Shafiq, Muhammad Kashif

N1 - Funding Information:
This research is supported by the Start-up Research Grant 2016 of United Arab Emirates University, Al Ain, United Arab Emirates via Grant No. G00002233.
Publisher Copyright:
© 2017, The Author(s).

PY - 2017

Y1 - 2017

N2 - 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, Randić 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.

AB - 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, Randić 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.

KW - ABC-index

KW - Cartesian product

KW - F-index

KW - F-sum

KW - GA-index

KW - Zagreb index

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U2 - 10.1186/s13660-017-1579-5

DO - 10.1186/s13660-017-1579-5

M3 - Article

AN - SCOPUS:85041282040

SN - 1025-5834

VL - 2017

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

M1 - 305

ER -