@article{article_760959, title={M-POLYNOMIAL METHOD FOR TOPOLOGICAL INDICES OF 3-LAYERED PROBABILISTIC NEURAL NETWORKS}, journal={TWMS Journal of Applied and Engineering Mathematics}, volume={9}, pages={864–875}, year={2019}, author={JAVAİD, M. and RAHEEM, A and ABBAS, M. and CAO, J.}, keywords={M-polynomial,Degree-based TI’s,Networks,Probabilistic neural network.}, abstract={A molecular network can be uniquely identied by a number, polynomial or matrix. A topological index TI is a number that characterizes a molecular network completely which is used to predict the physical features of the certain changes such as bioactivities and chemical reactivities in the chemical compound. Javaid and Cao [Neural Comput. and Applic., 30 2018 , 3869-3876] studied the rst Zagreb index, second Zagreb index, general Randic index, and augmented Zagreb index for the 3-layered probabilistic neural networks PNN . In this paper, we prove the M-polynomial of the 3-layered PNN and use it as a latest developed tool to compute the certain degree based TI’s. At the end, a comparison is also shown to nd the better one among all the obtained results.}, number={4}, publisher={Turkic World Mathematical Society} }