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arXiv · 2004.03342

Relations between some topological indices and the line graph

Walter Carballosa·Ana Granados·Domingo Pestana·Ana Portilla·Jose María Sigarreta
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Abstract

The concepts of geometric-arithmetic and harmonic indices were introduced in the area of chemical graph theory recently. They have proven to correlate well with physical and chemical properties of some molecules. The aim of this paper is to obtain new inequalities involving the first Zagreb, the harmonic, and the geometric-arithmetic $GA_1$ indices. Furthermore, inequalities relating these indices and line graphs are proven.

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Walter Carballosa, Ana Granados, Domingo Pestana, Ana Portilla, Jose María Sigarreta. 2020-03-27. Relations between some topological indices and the line graph. https://doi.org/10.1007/s10910-019-01091-4

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