On topological properties of probabilistic neural network
Authors :
Prosanta Sarkar 1 , Sourav Mondal 2 , Nilanjan De 3 * and Anita Pal 4
Author Address :
1,2,4 Department of Mathematics, National Institute of Technology Durgapur, India.
3 Department of Basic Sciences and Humanities (Mathematics), Calcutta Institute of Engineering and Management, Kolkata - 700 040, India.
*Corresponding author.
Abstract :
A graphical invariant is a real number related to a graph which is fixed under the graph isomorphism. In chemical graph theory, these invariants are also called topological indices and these are play a vital role to predict various chemical and physical properties of different molecular structures. In this work, we generalized multiplicative version Zagreb indices and compute it for probabilistic neural network. Also, we compute the general Zagreb index or $(a,b)$-Zagreb index for the same network and compute some other degree based topological indices for some particular values of $a$ and $b$.
Keywords :
Probabilistic neural network, Vertex degree based topological indices, The general Zagreb index, Multiplicative version of general Zagreb index.
DOI :
Article Info :
Received : March 12, 2019; Accepted : August 26, 2019.
