Zagreb indices at a distance 2
Abstract
In this paper, the first and the second Zagreb index at a distance l which are denoted respectively as lM1(G) and lM2(G) are introduced and studied the special case when l = 2. Realization of 2M1(G) and 2M2(G) are studied along with some chemical applicability. The bounds of 2M1(G), 2M2(G), 2M1(G) and 2M2(G) are obtained for any r-regular graph G. Also, 2M1(G) and 2M2(G) are computed for cycloalkenes.
Copyright © 2020 B. Sooryanarayana, S.B. Chandrakala, G.R. Roshini. 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
B. Sooryanarayana, S. B. Chandrakala, G. R. Roshini, Zagreb indices at a distance 2, J. Math. Comput. Sci. 10 (2020), 639–655. https://doi.org/10.28919/jmcs/4396
BibTeX
@article{Sooryanarayana2020,
author = {Sooryanarayana, B. and Chandrakala, S.B. and Roshini, G.R.},
title = {Zagreb indices at a distance 2},
journal = {J. Math. Comput. Sci.},
volume = {10},
year = {2020},
pages = {639--655},
doi = {10.28919/jmcs/4396}
}