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

• Main Authors: Muhammad Imran, Shakila Baby, Hafiz Muhammad Afzal Siddiqui, Muhammad Kashif Shafiq
• Format: Article
• Language: English
• Published: SpringerOpen 2017-12-01
• Series: Journal of Inequalities and Applications
• Subjects: F-sum; Cartesian product; ABC-index; Zagreb index; GA-index; F-index
• Online Access: http://link.springer.com/article/10.1186/s13660-017-1579-5

Abstract 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.