Croatica Chemica Acta, Vol. 89 No. 4, 2016.
Kratko priopćenje
https://doi.org/10.5562/cca3007
Comparison Between Zagreb Eccentricity Indices and the Eccentric Connectivity Index, the Second Geometric-arithmetic Index and the Graovac-Ghorbani Index
Kinkar Ch. Das
orcid.org/0000-0003-2576-160X
; Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of Korea
Sažetak
The concept of Zagreb eccentricity indices was introduced in the chemical graph theory very recently. The eccentric connectivity index is a distance-based molecular structure descriptor that was used for mathematical modeling of biological activities of diverse nature. The second geometric-arithmetic index was introduced in 2010, is found to be useful tool in QSPR and QSAR studies. In 2010 Graovac and Ghorbani introduced a distance-based analog of the atom-bond connectivity index, the Graovac-Ghorbani index, which yielded promising results when compared to analogous descriptors. In this note we prove that for chemical trees T. For connected graph G of order n with maximum degree, it is proved that if and, otherwise. Moreover, we show that for paths and some class of bipartite graphs.
This work is licensed under a Creative Commons Attribution 4.0 International License.
Ključne riječi
eccentric connectivity index; first Zagreb eccentricity index; second Zagreb eccentricity index; second geometric-arithmetic index; second atom-bond connectivity index
Hrčak ID:
180859
URI
Datum izdavanja:
19.12.2016.
Posjeta: 3.032 *