On topological properties of probabilistic neural network

Prosanta Sarkar; Sourav Mondal; Nilanjan De; Anita Pal

doi:10.26637/MJM0704/0002

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

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

Prosanta Sarkar Department of Mathematics, National Institute of Technology Durgapur, India https://orcid.org/0000-0003-4878-0088
Sourav Mondal Department of Mathematics, National Institute of Technology Durgapur, India https://orcid.org/0000-0003-1928-7075
Nilanjan De Department of Basic Sciences and Humanities (Mathematics), Calcutta Institute of Engineering and Management, Kolkata - 700 040, India
Anita Pal Department of Mathematics, National Institute of Technology Durgapur, India

Pages: 612-617
Date Published: 01-10-2019
Vol. 7 No. 04 (2019): Malaya Journal of Matematik (MJM)

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