TY - JOUR
T1 - Bounds of topological indices of tensor product of graph operations
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 2016 Research Grant of United Arab Emirates University, Al Ain, U. A. E. via Grant No. G00002233.
Publisher Copyright:
© 2017 Pushpa Publishing House, Allahabad, India.
PY - 2017/12
Y1 - 2017/12
N2 - Graph theory is nowadays a powerful tool in predicting a large number of physico-chemical properties of chemical compounds. There are various methods to quantify the molecular structures, of which the topological index is the most popular since it can be obtained directly from molecular structures and rapidly computed for large number of molecules. Among these indices, the Randić connectivity index is the most successful and commonly used degree-based molecular descriptor in structure-property and structure-activity relationships studies. In this paper, the lower and upper bounds for general Randić, general sum-connectivity and harmonic indices for tensor product of certain graph operations on graphs are determined.
AB - Graph theory is nowadays a powerful tool in predicting a large number of physico-chemical properties of chemical compounds. There are various methods to quantify the molecular structures, of which the topological index is the most popular since it can be obtained directly from molecular structures and rapidly computed for large number of molecules. Among these indices, the Randić connectivity index is the most successful and commonly used degree-based molecular descriptor in structure-property and structure-activity relationships studies. In this paper, the lower and upper bounds for general Randić, general sum-connectivity and harmonic indices for tensor product of certain graph operations on graphs are determined.
KW - F-sum on graphs
KW - General Randić index
KW - Harmonic index
KW - Sum-connectivity index
KW - Tensor product of graphs
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U2 - 10.17654/MS102123067
DO - 10.17654/MS102123067
M3 - Article
AN - SCOPUS:85039151476
SN - 0972-0871
VL - 102
SP - 3067
EP - 3091
JO - Far East Journal of Mathematical Sciences
JF - Far East Journal of Mathematical Sciences
IS - 12
ER -