The minimum value of geometric-arithmetic index of graphs with minimum degree 2
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Combinatorial Optimization"
DOI: 10.1007/s10878-016-0062-4
Abstract: The geometric-arithmetic index was introduced in the chemical graph theory and it has shown to be applicable. The aim of this paper is to obtain the extremal graphs with respect to the geometric-arithmetic index among… read more here.
Keywords: index; graphs minimum; minimum value; arithmetic index ... See more keywords
The fifth geometric-arithmetic index of bridge graph and carbon nanocones
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2016.1197214
Abstract: As an important topological index, the fifth geometric-arithmetic index is used to test the chemical properties of chemical compounds, nanomaterials and drugs. In this paper, by means of graph structure analysis and edge dividing technology,… read more here.
Keywords: fifth geometric; index; index bridge; arithmetic index ... See more keywords
Non-Linear Interpolation of the Harmonic–Geometric–Arithmetic Matrix Means
Sign Up to like & getrecommendations! Published in 2019 at "Lobachevskii Journal of Mathematics"
DOI: 10.1134/s1995080219010062
Abstract: Bhatia, Lim, and Yamazaki conjectured that the Kubo–Ando extensions of means of numbers satisfy a norm minimality condition with respect to unitarily invariant norms. In this short note, we introduce a symmetric Kubo–Ando mean and… read more here.
Keywords: non linear; interpolation harmonic; kubo ando; harmonic geometric ... See more keywords
Neighborhood Versions of Geometric-Arithmetic and Atom Bond Connectivity Indices of Some Popular Graphs and Their Properties
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DOI: 10.3390/axioms11090487
Abstract: In this article, we introduce the neighborhood versions of two classical topological indices, namely neighborhood geometric–arithmetic and neighborhood atom bond connectivity indices. We study the graph-theoretic properties of these new topological indices for some known… read more here.
Keywords: geometric arithmetic; atom bond; graph; bond connectivity ... See more keywords