Comparison of novel index with geometric-arithmetic and sum-connectivity indices
Abstract
This work focusses on the minimal, second minimal, maximal and second maximal values of three indices for various unicyclic, bicyclic graphs. Motivated by the works of Ghorbani, this work compares the extremal values among three indices viz., geometric-arithmetic, sum-connectivity and proposed novel index (geometric-harmonic) and these indices are computed for star, cycle and path. Relations are established among the indices for star, cycle, path, tree, complete, unicyclic and bicyclic graphs.
Copyright © 2021 A. Usha, M.C. Shanmukha, K.N. Anil Kumar, K.C. Shilpa. 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
A. Usha, M. C. Shanmukha, K. N. A. Kumar, K. C. Shilpa, Comparison of novel index with geometric-arithmetic and sum-connectivity indices, J. Math. Comput. Sci. 11 (2021), 5344–5360. https://doi.org/10.28919/jmcs/5969
BibTeX
@article{Usha2021,
author = {Usha, A. and Shanmukha, M.C. and Kumar, K.N. Anil and Shilpa, K.C.},
title = {Comparison of novel index with geometric-arithmetic and sum-connectivity indices},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {5344--5360},
doi = {10.28919/jmcs/5969}
}