Computing topological indices of Sudoku graphs |
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Authors: | Wei Gao Muhammad Imran Abdul Qudair Baig Haidar Ali Mohammad Reza Farahani |
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Affiliation: | 1.School of Information Science and Technology,Yunnan Normal University,Kunming,China;2.Department of Mathematics, School of Natural Sciences (SNS),National University of Sciences and Technology (NUST),Islamabad,Pakistan;3.Department of Mathematics,COMSATS Institute of Information Technology,Attock,Pakistan;4.Department of Applied Mathematics,Iran University of Science and Technology (IUST),Tehran,Iran |
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Abstract: | In QSAR/QSPR study, physico-chemical properties and topological indices such as Randi?, atom-bond connectivity (ABC) and geometric-arithmetic (GA) index are used to predict the bioactivity of chemical compounds. A topological index is actually designed by transforming a chemical structure into a numeric number. These topological indices correlate certain physico-chemical properties like boiling point, stability, strain energy etc. of chemical compounds. Graph theory has found a considerable use in this area of research. The topological indices of certain interconnection networks were studied recently by Imran et al. (Appl Math Comput 244:936–951, 2014). In this paper, we extend this study to (ntimes n) Sudoku graphs and derive analytical closed results of general Randi? index (R_{alpha }(G)) for different values of “(alpha )” for Sudoku (SK). We also compute the general Randi?, first Zagreb, ABC, GA, (ABC_{4}) and (GA_{5}) indices and give closed formulae of these indices for Sudoku graphs. |
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