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Computing topological indices of probabilistic neural network

  • M. Javaid
  • Jinde Cao
Original Article

Abstract

A numeric quantity that characterizes the whole structure of a network is called a topological index. In the studies of quantitative structure-activity relationship and quantitative structure-property relationship, the topological indices are utilized to guess the physical features related to the bioactivities and chemical reactivities in certain networks. A neural network is a computer system modeled on the nerve tissue and nervous system. The neural networks are not only studied in Neurochemistry. There are many applications of these networks in different areas of studies such as intrusion detection system, image processing, artificial intelligence, localization, medicine, chemical, and environmental sciences. In this paper, we compute the degree-based topological indices of the probabilistic neural network for the first time. At the end, a numerical comparison between all the indices is also shown with the help of the Cartesian coordinate system.

Keywords

Topological indices Randić index Zagreb index Networks Probabilistic neural network 

Notes

Acknowledgments

The authors would like to express their sincere gratitude to the anonymous referees for their insightful comments and valuable suggestions, which led to a number of improvements in the earlier version of this manuscript.

Compliance with Ethical Standards

Conflict of interest

The authors declare that they have no conflict of interest.

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Copyright information

© The Natural Computing Applications Forum 2017

Authors and Affiliations

  1. 1.Department of MathematicsGC UniversityLahorePakistan
  2. 2.School of MathematicsSoutheast UniversityNanjingPeople’s Republic of China
  3. 3.School of Mathematics and StatisticsShandong Normal UniversityJínanChina

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