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Comparison Between Zagreb Eccentricity Indices and the Eccentric Connectivity Index, the Second Geometric-arithmetic Index and the Graovac-Ghorbani Index.
- Source :
-
Croatica Chemica Acta . Dec2016, Vol. 89 Issue 4, p505-510. 6p. - Publication Year :
- 2016
-
Abstract
- The concept of Zagreb eccentricity indices (E1 and E2) was introduced in the chemical graph theory very recently. The eccentric connectivity index (ξc) is a distance-based molecular structure descriptor that was used for mathematical modeling of biological activities of diverse nature. The second geometric-arithmetic index (GA2) 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 (ABCGG), which yielded promising results when compared to analogous descriptors. In this note we prove that E1(T)>ξc(T) for chemical trees T. For connected graph G of order n with maximum degree Δ , it is proved that ξc(G)>E2(G) if Δ=n-1 and ξc(G)>E2(G) otherwise. Moreover, we show that GA2>ABCGGfor paths and some class of bipartite graphs. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00111643
- Volume :
- 89
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Croatica Chemica Acta
- Publication Type :
- Academic Journal
- Accession number :
- 123491497
- Full Text :
- https://doi.org/10.5562/cca3007