A MATHEMATICAL APPROACH TO FIND THE RELATIONSHIP  BETWEEN THE WIENER NUMBERS OF ISOMERS OF PENTANE (C5H12) AND HEXANE (C6H14) AND ITS PHYSICAL PROPERTIES

P Gayathri; T Ragavan

doi:10.48165/

Authors

P Gayathri Department of Mathematics, A.V.C. College (Autonomous), Mannampandal, Mayiladuthurai, Tamil Nadu 609305, India.
T Ragavan Department of Mathematics, A.V.C. College (Autonomous), Mannampandal, Mayiladuthurai, Tamil Nadu 609305, India.

DOI:

https://doi.org/10.48165/

Keywords:

Molecular graph, Wiener number, isomers, Pentane, Hexane

Abstract

In molecular graph theory, the Wiener index or Wiener number is a topological invariant of a molecule which depends on its structure and it is defined as the sum of the lengths of the shortest paths between every pairs of vertices in the molecular graph representing the non-hydrogen atoms of the molecule. The term isomer is used for molecules having same molecular formula but different structural arrangement of the hydrocarbon main chain and the respective functional groups. In this paper, we prove that there is a high positive correlation between the topological invariants and the physical properties of isomers of Pentane (C5H12) and Hexane (C6H14).

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