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


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


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

List of Symbols


Number of observations of X and Y


Array containing n values of predictor variable


Array containing n values of response variable


Sum of all values of predictor


Sum of all values of response


Sum of squared X’s


Sum of squared Y’s


Sum of product of X’s and Y’s


Mean of X’s


Mean of Y’s


Sum of squares for each X observation


Sum of squares due to the pair X and Y

\(c_0\) and \(c_1\)

Regression coefficients


Correlation coefficient

Mathematics Subject Classification

92E10 05C07 



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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