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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 ; Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of Korea


Puni tekst: engleski pdf 594 Kb

str. 505-510

preuzimanja: 1.994

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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

https://hrcak.srce.hr/180859

Datum izdavanja:

19.12.2016.

Posjeta: 2.530 *