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Geometric Arithmetic Index

On Second Geometric-Arithmetic Index and Co-PI Index of Special Chemical Molecular Structures

On Second Geometric-Arithmetic Index and Co-PI Index of Special Chemical Molecular Structures

... for geometric-arithmetic index of molecular graphs in terms of the numbers of vertices and ...maximum geometric-arithmetic indices were ...on geometric-arithmetic indices ...

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The Geometric-Arithmetic Index of an Infinite Class NS_1 [n]of Dendrimer Nanostars

The Geometric-Arithmetic Index of an Infinite Class NS_1 [n]of Dendrimer Nanostars

... connectivity index χ introduced in 1975 by Milan Randi ́ [2, 3], who has shown this index to reflect molecular ...́ index, and motivated by the definition of Randi ́ connectivity index based ...

5

The second geometric-arithmetic index for trees and unicyclic graphs

The second geometric-arithmetic index for trees and unicyclic graphs

... second geometric-arithmetic index of trees in terms of their order and maximum ...second geometric-arithmetic index achieves the upper ...

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On Second Geometric-Arithmetic Index of Graphs

On Second Geometric-Arithmetic Index of Graphs

... of geometricarithmetic indices (GA) was put forward in chemical graph theory very ...second geometricarithmetic index (GA 2 ) and characterize the extremal ...

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Geometric-Arithmetic Index of Hamiltonian Fullerenes

Geometric-Arithmetic Index of Hamiltonian Fullerenes

... Nowadays thousands and thousands topological indices are defined for different goals, such as stability of alkanes, the strain energy of cycloalkanes, prediction of boiling point and etc. One of the important topological ...

6

On the total version of geometric-arithmetic index

On the total version of geometric-arithmetic index

... of geometric-arithmetic index based on the end-vertex degrees of edges in a total graph of G which is a graph such that the vertex set of T(G) corresponds to the vertices and edges of G and two ...

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A Note on the First Geometric-Arithmetic Index of Hexagonal Systems and Phenylenes

A Note on the First Geometric-Arithmetic Index of Hexagonal Systems and Phenylenes

... topological index is a numeric quantity from the structural graph of a ...first geometric-arithmetic index was introduced in the chemical graph ...This index is defined as ...

8

Computing fifth geometric-arithmetic index for nanostar dendrimers

Computing fifth geometric-arithmetic index for nanostar dendrimers

... topological index is a function Top from  into real numbers with this property that Top(G) = Top(H), if G and H are ...topological index. The Wiener [1] index is the first reported distance based ...

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Two Types of Geometric–Arithmetic Index of V–phenylenic Nanotube

Two Types of Geometric–Arithmetic Index of V–phenylenic Nanotube

... topological index is a numeric quantity from the structural graph of a ...Wiener index, and used it to determine physical properties of types of alkanes known as ...of geometric-arithmetic ...

9

On Third Geometric-Arithmetic Index of Graphs

On Third Geometric-Arithmetic Index of Graphs

... In Section 2, we give lower and upper bounds on GA 3 ( G ) of connected graphs, and characterize the graphs for which these bounds are best.. possible.[r] ...

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Some properties on the lexicographic product of graphs obtained by monogenic semigroups

Some properties on the lexicographic product of graphs obtained by monogenic semigroups

... irregularity index and dominating number for this new graph are presented in ...Randić index, geometric-arithmetic index and atom-bond connectivity index, Wiener index, ...

9

Vol 7, No 12 (2017)

Vol 7, No 12 (2017)

... sum-connectivity index, atom-bond connectivity index, geometric arithmetic index, inverse sum indeg index, symmetric division deg index and harmonic polynomial of titania ...

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Extremal Phenylene Chains with Respect to the Kirchhoff Index and Degree-based Topological Indices

Extremal Phenylene Chains with Respect to the Kirchhoff Index and Degree-based Topological Indices

... Harmonic index, first Zagreb index, sum- connectivity index, Geometric-Arithmetic index, Atom-Bond connectivity index and Symmetric Division ...Zagreb index is for ...

7

Some Degree-Based Topological Indices of Base-3 Sierpiński Graphs

Some Degree-Based Topological Indices of Base-3 Sierpiński Graphs

... Zagreb index Zg G 1 ( ) , Second Zagreb index Zg G 2 ( ) , Randić connectivity index R G ( ) , sum-connectivity index X G ( ) , Geometric-Arithmetic index ...

6

Computing Degree-Based Topological Indices of Polyhex Nanotubes

Computing Degree-Based Topological Indices of Polyhex Nanotubes

... Proof. Consider the TU AC 6 [ m, n ] nanotube. The number of vertices in TU AC 6 [ m, n ] are 2m ( n + 2 ) and the number of edges of the nanotube of edges of the nanotube is 3mn + 4m. Now using different type of edges ...

9

A New Multiplicative Arithmetic-Geometric Index

A New Multiplicative Arithmetic-Geometric Index

... connectivity index and its wide applications, Kulli [3] introduced the multiplicative product connectivity index, multiplicative sum connectivity index, multiplicative atom bond connectivity ...

5

On the Lawson–Lim means and Karcher mean for positive invertible operators

On the Lawson–Lim means and Karcher mean for positive invertible operators

... the geometric mean by Ando, Li and Mathias can be extended to Hilbert space ...Ando–Li–Mathias geometric mean for n positive operators, we call it Lawson–Lim geometric mean G[n, t](A 1 , A 2 , ...

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Sharp bounds for the arithmetic geometric mean

Sharp bounds for the arithmetic geometric mean

... Abstract In this article, we establish some new inequality chains for the ratio of certain bivariate means, and we present several sharp bounds for the arithmetic-geometric mean.. MSC: P[r] ...

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On the bounds of degree based topological indices of the Cartesian product of F sum of connected graphs

On the bounds of degree based topological indices of the Cartesian product of F sum of connected graphs

... This section is meant for determination of bounds for the first Zagreb, the third Zagreb, the augmented Zagreb, the first multiple Zagreb, ABC and GA indices of the Cartesian product of F -sum of graphs in terms of their ...

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Some physical and hydrodynamic properties of two varieties of apple (Malus domestica Borkh L.)

Some physical and hydrodynamic properties of two varieties of apple (Malus domestica Borkh L.)

... A summary of the physical and hydrodynamic pro- perties of Redspar and Delbarstival cultivars is shown in Table 1. The moisture contents were 82.8 and 81.16%, w.b., for Redspar and Delbarstival apples, respectively. ...

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