Mathematical Development of the Topological Index Z

DOI

Bibliographic Information

Other Title
  • トポロジカルインデックスZの数学的展開

Description

The topological index Z was proposed by the present author in 1971 for characterizing the topological structure of the carbon atom skeleton of hydrocarbon molecules, which was found to have good correlation with the boiling point of alkanes. The Z index thus has been used in thermodynamic QSAR study and later in developing the "graph-theoretical molecular orbital theory." However, recently Z was found to play a very important role in elementary mathematics and algebraic number theory by transforming algebra into geometry or graph-theory. Examples are Fibonacci and Lucas numbers, Pascal's triangle, Pell number and Pell equation, Pythagorean and Heronian triangles, etc. In this paper these mathematical features of the Z index are introduced and discussed.

Journal

Details 詳細情報について

  • CRID
    1390001205736357504
  • NII Article ID
    130004574897
  • DOI
    10.11545/ciqs.2006.0.j14.0
  • Data Source
    • JaLC
    • CiNii Articles
  • Abstract License Flag
    Disallowed

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