EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS Vol. 13, No. 5, 2020, 1149-1161 ISSN 1307-5543 – www.ejpam.com Published by New York Business Global Special Issue Dedicated to Professor Hari M. Srivastava On the Occasion of his 80th Birthday Computing Discrete Adriatic Indices of Probabilistic Neural Network T. Deepika 1, * , V. Lokesha 2 1 Department of Mathematics, Dayananda Sagar University, Bengaluru, Karnataka, India. 2 Department of Mathematics, Vijayanagara Sri Krishnadevaraya University, Ballari, Karnataka, India. Abstract. A Topological index is a numeric quantity which characterizes the whole structure of a graph. Adriatic indices are also part of topological indices, mainly it is classified into two namely extended variables and discrete adriatic indices, especially, discrete adriatic indices are analyzed on the testing sets provided by the International Academy of Mathematical Chemistry (IAMC) and it has been shown that they have good presaging substances in many compacts. This contrived attention to compute some discrete adriatic indices of probabilistic neural network. 2020 Mathematics Subject Classifications: 05C09,05C30 Key Words and Phrases: Topological indices, probabilistic neural network, degree vertex. 1. Prologue and Provocation In this work peculiar attention is compensated to Adriatic indices that have been de- fined by D. Vukiˇ cevi´ c and M. Gasperov. Discrete Adriatic indices are the family of 148 bond-additive topological indices defined as follows. Adr(G)=  uv∈E(G) γ j (ϕ i,a (t u ),ϕ i,a (t v )) where the variables and functions can take the following values: * Corresponding author. DOI: https://doi.org/10.29020/nybg.ejpam.v13i5.3712 Email addresses: v.lokesha@gmail.com (V. Lokesha), sastry.deepi@gmail.com (T. Deepika) https://www.ejpam.com 1149 c  2020 EJPAM All rights reserved.