<abstract xmlns="http://www.w3.org/1999/xhtml"><p> A topological index is a numeric quantity associated with a network or a graph that characterizes its whole structural properties. In [Javaid and Cao, Neural Computing and Applications, DOI 10.1007/s00521-017-2972-1], the various degree-based topological indices for the probabilistic neural networks are studied. We extend this study by considering the calculations of the other topological indices, and derive the analytical closed formulas for these new topological indices of the probabilistic neural network. Moreover, a comparative study using computer-based graphs has been carried out first time to clarify the nature of the computed topological descriptors for the probabilistic neural networks. Our results extend some known conclusions.</p></abstract>

A topological index is a numeric quantity associated with a network or a graph that characterizes its whole structural properties. In [Javaid and Cao, Neural Computing and Applications, DOI 10.1007/s00521-017-2972-1], the various degree-based topological indices for the probabilistic neural networks are studied. We extend this study by considering the calculations of the other topological indices, and derive the analytical closed formulas for these new topological indices of the probabilistic neural network. Moreover, a comparative study using computer-based graphs has been carried out first time to clarify the nature of the computed topological descriptors for the probabilistic neural networks. Our results extend some known conclusions.

On the Topological Properties of the Certain Neural Networks

Journal of Artificial Intelligence and Soft Computing Research

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"On the Topological Properties of the Certain Neural Networks"}

A topological index is a numeric quantity associated with a network or a graph that characterizes its whole structural properties. In [Javaid and Cao, Neural...

On the Topological Properties of the Certain Neural Networks

Publié en ligne: 17 mai 2018

Pages: 257 - 268

Reçu: 13 janv. 2018

Accepté: 08 mars 2018

DOI: https://doi.org/10.1515/jaiscr-2018-0016

Mots clés
neural network, topological indices, Graph theory

© 2018

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

On the Topological Properties of the Certain Neural Networks

Publié en ligne: 17 mai 2018

Pages: 257 - 268

Reçu: 13 janv. 2018

Accepté: 08 mars 2018

DOI: https://doi.org/10.1515/jaiscr-2018-0016

Mots clésneural network, topological indices, Graph theory

© 2018

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
neural network, topological indices, Graph theory