On the harmonic index and the chromatic number of a graph

Deng, Hanyuan; Balachandran, Selvaraj; Ayyaswamy, S. K.; Venkatakrishnan, Y. B.

doi:10.1016/j.dam.2013.04.003

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Introduction4

Corollary 210 If G Is a Connected Graph Satisfying At Leas1

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Cited by 59 publications

(35 citation statements)

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“…Deng et al [11] proved that for every connected graph G Another vertex-degree-based topological Index is the modified second Zagreb index defined [34,35] as:…”

Section: Corollary 210 If G Is a Connected Graph Satisfying At Leasmentioning

confidence: 99%

Further Inequalities Between Vertex-Degree-Based Topological Indices

Ali¹,

Bhatti²,

Raza³

2016

Int. J. Appl. Comput. Math

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“…Deng et al [11] proved that for every connected graph G Another vertex-degree-based topological Index is the modified second Zagreb index defined [34,35] as:…”

Section: Corollary 210 If G Is a Connected Graph Satisfying At Leasmentioning

confidence: 99%

Further Inequalities Between Vertex-Degree-Based Topological Indices

Ali¹,

Bhatti²,

Raza³

2016

Int. J. Appl. Comput. Math

View full text Add to dashboard Cite

show abstract

“…Recently, Onagh investigated the harmonic index of subdivision graph S(G), t-subdivision graph S t ðGÞ, vertex-semitotal graph R(G), edge-semitotal graph Q(G), total graph T(G) and F-sum of graphs, where F 2 fS; S t ; R; Q; Tg [5][6][7]. More results on the harmonic index can been found in [1][2][3][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

The harmonic index of product graphs

Onagh

2017

Math Sci

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“…Recent results on the harmonic index can be found in [3,5,12,15,16,22,25,26]. Inspired by this definition, we define here harmonic status index of a connected graph G as…”

Section: Introductionmentioning

confidence: 99%