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Reseach Article

Wiener Index of Degree Splitting Graph of some Hydrocarbons

by K. Thilakam, A. Sumathi
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 93 - Number 3
Year of Publication: 2014
Authors: K. Thilakam, A. Sumathi
10.5120/16196-5454

K. Thilakam, A. Sumathi . Wiener Index of Degree Splitting Graph of some Hydrocarbons. International Journal of Computer Applications. 93, 3 ( May 2014), 27-31. DOI=10.5120/16196-5454

@article{ 10.5120/16196-5454,
author = { K. Thilakam, A. Sumathi },
title = { Wiener Index of Degree Splitting Graph of some Hydrocarbons },
journal = { International Journal of Computer Applications },
issue_date = { May 2014 },
volume = { 93 },
number = { 3 },
month = { May },
year = { 2014 },
issn = { 0975-8887 },
pages = { 27-31 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume93/number3/16196-5454/ },
doi = { 10.5120/16196-5454 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:14:52.471877+05:30
%A K. Thilakam
%A A. Sumathi
%T Wiener Index of Degree Splitting Graph of some Hydrocarbons
%J International Journal of Computer Applications
%@ 0975-8887
%V 93
%N 3
%P 27-31
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In quantum chemistry, the physico–chemical properties of chemical compounds are often modeled by means of molecular–graph–based structure–descriptors, which are also referred to as topological indices. One of the most widely known topological descriptors is Wiener index. It is named after chemist Harold Wiener who introduced in the year 1947. It is defined by the sum of the distances between all (ordered) pairs of vertices of G. In this paper, we find the Wiener index of degree splitting of some aliphatic and aromatic hydrocarbons and classify its characterization using MATLAB.

References
  1. Andrey A. Dobrynin, Congruence Relations for the Wiener index of Hexagonal Chains, J. chem. Inf. Comput. Sci 1997, 37,1109-1110
  2. Andrey A. Dobrynin, New congruence Relations for Wiener index of Cata-Condensed Benzenoid Graphs, J. chem. Inf. Comput. Sci 1998, 38,405-409.
  3. Ivan Gutman and Drago?s Cvetkovi´c, Selected Topics on Applications of Graph Spectra, ISBN 978-86-80593-44-9 (2011)
  4. Ponraj R and Somasundaram S, On the degree splitting graph of a graph, NATL ACAD,SCI LETT, 27(7& 8) (2004), 275-278.
  5. Sampathkumar E. and Walikar H. B. , On Splitting Graph of a Graph, J. Karnatak Univ. Sci. ,25(13) (1980), 13-16.
  6. Santhi Maheswari N. R. and Sekar C, On the d2-splitting graph of a graph, Kragujevac Journal of Mathematics, Volume 36 Number 2 (2012), Pages 315-321
  7. Slavko Radenkovi? S and Ivan Gutman, Relation between Wiener index and spectral radius, Kragujevac J. Sci. 30 (2008) 57-64
  8. Thilakam K, Sumathi A, How to Compute the Wiener index of a graph using MATLAB, International Journal of Applied Mathematics& Statistical Sciences (IJAMSS), ISSN(P): 2319-3972;,Vol. 2, Issue 5, Nov 2013, 143-148.
  9. Wiener H, Structural determination of paraffin boiling points- J. Am chem. Soc. 6 (1947) 17-20
  10. http://mathworld. wolfram. com/WienerIndex
Index Terms

Computer Science
Information Sciences

Keywords

Hydro Carbons Wiener Index MATLAB