G-2019-58
Geometric-arithmetic index and minimum degree of connected graphs
, et référence BibTeX
In the present paper, we prove lower and upper bounds for each of the ratios \(GA/\delta\)
, as well as a lower bound on \(GA/\sqrt{\delta}\)
, in terms of the order \(n\)
, over the class of connected graphs on \(n\)
vertices, where \(GA\)
and \(\delta\)
denote the geometric-arithmetic index and the minimum degree, respectively. We also characterize the extremal graphs corresponding to each of those bounds. In order to prove our results, we provide a modified statement of a well-known lower bound on the geometric-arithmetic index in terms of minimum degree.
Paru en août 2019 , 11 pages
Axe de recherche
Publication
jan. 2020
Geometric-arithmetic index and minimum degree of connected graphs
, et
MATCH, Communications in Mathematical and in Computer Chemistry, 83, 179–188, 2020
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