The Harmonic Index of Some Graphs

Li, Jianxi; Lv, Jian-Bo; Liu, Yang

doi:10.1007/s40840-015-0289-8

Cited by 7 publications

(2 citation statements)

References 12 publications

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“…Some well-known degree based topological indices are Randic index, First and Second Zagreb indices, Reformulated first and second Zagreb indices, Atom-Bond Connectivity index, Augmented Zagreb index, Harmonic index, Geometric-arithmetic index, Sumconnectivity index, etc. [1,2,[4][5][6][7][8][9][10]12,[14][15][16][17]19,20]. The comparative testing of these wellknown degrees based topological indices were given in [11].…”

Section: Introductionmentioning

confidence: 99%

R Index of Some Graphs

Sumathi¹

2018

APAM

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A topological representation of a molecule is called molecular graph. A molecular graph is a collection of points representing the atoms in the molecule and set of lines representing the covalent bonds. These points are named vertices and the lines are named edges in molecular graph theory. In this paper, the expression of the new R index of path graph, star graph, wheel graph, gear graph, helm graph are derived.

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Section: Introductionmentioning

confidence: 99%

R Index of Some Graphs

Sumathi¹

2018

APAM

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“…The relationships between harmonic index and domination like parameters were investigated by Li et al [28] We refer the interested reader for the article related to H index by Ilić and the references therein [29].…”

Section: Introductionmentioning

confidence: 99%

On R degrees of vertices and R indices of graphs

Ediz

2017

IJAC

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Topological indices have been used to modeling biological and chemical properties of molecules in quantitive structure property relationship studies and quantitive structure activity studies. All the degree based topological indices have been defined via classical degree concept. In this paper we define a novel degree concept for a vertex of a simple connected graph: R degree. And also we define R indices of a simple connected graph by using the R degree concept. We compute the R indices for well-known simple connected graphs such as paths, stars, complete graphs and cycles.

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The Minimum General Sum-Connectivity Index of Trees with Given Matching Number

Zhong

Qian

2019

Bull. Malays. Math. Sci. Soc.

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The Harmonic Index of Some Graphs

Cited by 7 publications

References 12 publications

R Index of Some Graphs

R Index of Some Graphs

On R degrees of vertices and R indices of graphs

The Minimum General Sum-Connectivity Index of Trees with Given Matching Number

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