Arithmetico geometric decomposition of some graphs

Hema, R.; Subitha, D.; Freeda, S.

doi:10.28919/jmcs/5022

J. Math. Comput. Sci. 10 (2020), 3101–3108

Arithmetico geometric decomposition of some graphs

R. Hema, D. Subitha, S. Freeda

PDF (282.6 KB) https://doi.org/10.28919/jmcs/5022

Abstract

A decomposition (G_ab, G_(a+d)br, …, G_(a+(n-1)d)br^n-1) of G is said to be a Arithmetico Geometric Decomposition (ACOGD) or (a, d, b, r, n) – Decomposable if each G_(a+(i-1)d)br^i-1 is connected and |E(G_(a+(i-1)d)br^i-1)| = (a + (i - 1)d)_br^i-1 for every i = 1, 2, ...., n and a, d, b, r (>1) ∈ N. Clearly, q = b(a-(a+(n-1)d) r^n)/(1-r) + dbr(1-r^(n-1)/(1-r)^2, for every n∈ N. In this paper, we seek to find Arithmetico Geometric Decomposition of some graphs.

Published: 6 November 2020
Volume: 10 (2020)
License: CC BY 3.0

Copyright © 2020 R. Hema, D. Subitha, S. Freeda. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

R. Hema, D. Subitha, S. Freeda, Arithmetico geometric decomposition of some graphs, J. Math. Comput. Sci. 10 (2020), 3101–3108. https://doi.org/10.28919/jmcs/5022

BibTeX

@article{Hema2020,
  author  = {Hema, R. and Subitha, D. and Freeda, S.},
  title   = {Arithmetico geometric decomposition of some graphs},
  journal = {J. Math. Comput. Sci.},
  volume  = {10},
  year    = {2020},
  pages   = {3101--3108},
  doi     = {10.28919/jmcs/5022}
}