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Relationship Between Randić Index, Sum-Connectivity Index, Harmonic Index and \(\pi \)-Electron Energy for Benzenoid Hydrocarbons

  • H. S. RamaneEmail author
  • V. B. Joshi
  • R. B. Jummannaver
  • S. D. Shindhe
Short Communication
  • 2 Downloads

Abstract

The relationship between Randić index, sum-connectivity index, harmonic index and \(\pi \)-electron energy of some benzenoid hydrocarbons is obtained.

Keywords

Benzenoid hydrocarbons Randić index Sum-connectivity index Harmonic index \(\pi \)-Electron energy Correlation Regression 

List of Symbols

n

Number of observations of X and Y

X[n]

Array containing n values of predictor variable

Y[n]

Array containing n values of response variable

SX

Sum of all values of predictor

SY

Sum of all values of response

\(SX^2\)

Sum of squared X’s

\(SY^2\)

Sum of squared Y’s

SXY

Sum of product of X’s and Y’s

\({\overline{X}}\)

Mean of X’s

\({\overline{Y}}\)

Mean of Y’s

SSXX

Sum of squares for each X observation

SSXY

Sum of squares due to the pair X and Y

\(c_0\) and \(c_1\)

Regression coefficients

R

Correlation coefficient

Mathematics Subject Classification

92E10 05C07 

Notes

Acknowledgements

We are thankful to the anonymous referees for their helpful suggestions and bringing our attention to Ref. [12].

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Copyright information

© The National Academy of Sciences, India 2019

Authors and Affiliations

  1. 1.Department of MathematicsKarnatak UniversityDharwadIndia
  2. 2.Department of StatisticsKarnatak UniversityDharwadIndia

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