Polynomials and General Degree-Based Topological Indices of Generalized Sierpinski Networks

Complexity 2021:1-10 (2021)
  Copy   BIBTEX

Abstract

Sierpinski networks are networks of fractal nature having several applications in computer science, music, chemistry, and mathematics. These networks are commonly used in chaos, fractals, recursive sequences, and complex systems. In this article, we compute various connectivity polynomials such as M -polynomial, Zagreb polynomials, and forgotten polynomial of generalized Sierpinski networks S k n and recover some well-known degree-based topological indices from these. We also compute the most general Zagreb index known as α, β -Zagreb index and several other general indices of similar nature for this network. Our results are the natural generalizations of already available results for particular classes of such type of networks.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,197

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Some Neural Networks Compute, Others Don't.Gualtiero Piccinini - 2008 - Neural Networks 21 (2-3):311-321.
A logician's view of graph polynomials.J. A. Makowsky, E. V. Ravve & T. Kotek - 2019 - Annals of Pure and Applied Logic 170 (9):1030-1069.
Unifying the essential concepts of biological networks: biological insights and philosophical foundations.Daniel Kostic, Claus Hilgetag & Marc Tittgemeyer - 2020 - Philosophical Transactions of the Royal Society B: Biological Sciences 375 (1796):1-8.
Filozofia matematyki Wacława Sierpińskiego.Katarzyna Lewandowska - 2016 - Zagadnienia Filozoficzne W Nauce 60:53-81.
Corporate Responsibilities in Internet-Enabled Social Networks.Stephen Chen - 2009 - Journal of Business Ethics 90 (S4):523 - 536.

Analytics

Added to PP
2021-02-10

Downloads
9 (#1,257,418)

6 months
4 (#796,773)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references