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The most private features of the topological index

Year 2019, Volume: 1 Issue: 1, 25 - 33, 02.01.2019

Haruo Hosoya

Abstract

The detailed birth and growth history of the topological index (TI) is described by the author who himself proposed the the term TI and introduced its QSAR property of hydrocarbon molecules.

Keywords

Hosoya-index Z-index godfather QSAR

References

  • H. Hosoya, Internet Electronic J. Mol. Design, 1 (2002) 428-442.
  • H. Wiener, J. Am. Chem. Soc., 69 (1947) 17-20.
  • J. R. Platt, J. Phys. Chem., 56 (1952) 328-336.
  • H. Hosoya, Bull. Chem. Soc. Jpn., 44 (1971) 2332-2339.
  • I. Gutman, M. Milun, N. Trinajstic, Math. Chem. (Mülheim/Ruhr), 1 (1975) 171-175.
  • J.-I. Aihara, J. Amer. Chem. Soc., 98 (1976) 2750-2758.
  • E. J. Farrell, J. Comb. Theory, 26B (1979) 111-xxx; 27B (1979) 75-86.
  • A. T. Balaban, J. Comput. Chem., Japan, 16 (2017) 33-37.
  • J. Devillers, A. T. Balaban (Eds.), Topological indices and related descriptors in QSAR and QSPR,” Gordon Breach, Amsterdam (1999).
  • O. Ivanciuc, A. T. Balaban, in Chpter 3 of Ref. [9].
  • Special issue of Interelectronic J. of Molecular Design, 1 (2002), BioChem Press.
  • L. B. Kier, L. H. Hall, Molecular connectivity in chemistry and drug research, Academic Press, New York (1976).
  • M. Karelson, Molecular descriptors in QSAR/QSPR, Wiley, New York (2000).
  • H. Hosoya, Discrete Appl. Math., 19 (1988) 239-257.
  • I. Gutman, E. Estrada, O. Ivanciuc, Graph Theory Notes N. Y., 36 (1999) 7-13.
  • H. Hosoya, M. Murakami, M. Gotoh, Natl. Sci. Rept. Ochanomizu Univ., 24 (1973) 27-34.
  • R. L. Graham, L. Lovasz, Adv. Math., 29 (1978) 60-88.
  • R. L. Graham, A. J. Hoffman, H. Hosoya, J. Graph Theory, 1 (1977) 85-88.
  • H. Hosoya, F. Harary, J. Math. Chem., 12 (1993) 211-218.
  • H. Hosoya, K. Hosoi, I. Gutman, Theor. Chim. Acta, 38 (1975) 37-47.
  • H. Hosoya, Fibonacci Quarterly, 11 (1973) 255-266.
  • T. Koshy, Fibonacci and Lucas numbers with applications, Wiley, New York (2001).
  • Wikipedia, Chebyshev polynomials.
  • Wikipedia, Hermite polynomial.
  • WolframMathWorld, Hermite polynomial.
  • H. Hosoya, Natl. Sci. Rept. Ochanomizu Univ., 32 (1981) 127-138.
  • H. Hosoya, J. Chem. Documentation, 12 (1972) 181-183.
  • A. Mowshowitz, M. Dehmer, Entropy (Basel), 17 (2015) 1054-1062.
  • T. Aurues, Kokyuroku of Res. Inst. Math. Sci. Kyoto Univ., 1852 (2013) 165-176.
  • H. Hosoya, Topological index––New mathematics bridging from Fibonacci numbers to Pythagorean triangles––, (in Nihongo), Nihon-Hyoronsha, Tokyo (2012).

Year 2019, Volume: 1 Issue: 1, 25 - 33, 02.01.2019

Haruo Hosoya

Abstract

References

  • H. Hosoya, Internet Electronic J. Mol. Design, 1 (2002) 428-442.
  • H. Wiener, J. Am. Chem. Soc., 69 (1947) 17-20.
  • J. R. Platt, J. Phys. Chem., 56 (1952) 328-336.
  • H. Hosoya, Bull. Chem. Soc. Jpn., 44 (1971) 2332-2339.
  • I. Gutman, M. Milun, N. Trinajstic, Math. Chem. (Mülheim/Ruhr), 1 (1975) 171-175.
  • J.-I. Aihara, J. Amer. Chem. Soc., 98 (1976) 2750-2758.
  • E. J. Farrell, J. Comb. Theory, 26B (1979) 111-xxx; 27B (1979) 75-86.
  • A. T. Balaban, J. Comput. Chem., Japan, 16 (2017) 33-37.
  • J. Devillers, A. T. Balaban (Eds.), Topological indices and related descriptors in QSAR and QSPR,” Gordon Breach, Amsterdam (1999).
  • O. Ivanciuc, A. T. Balaban, in Chpter 3 of Ref. [9].
  • Special issue of Interelectronic J. of Molecular Design, 1 (2002), BioChem Press.
  • L. B. Kier, L. H. Hall, Molecular connectivity in chemistry and drug research, Academic Press, New York (1976).
  • M. Karelson, Molecular descriptors in QSAR/QSPR, Wiley, New York (2000).
  • H. Hosoya, Discrete Appl. Math., 19 (1988) 239-257.
  • I. Gutman, E. Estrada, O. Ivanciuc, Graph Theory Notes N. Y., 36 (1999) 7-13.
  • H. Hosoya, M. Murakami, M. Gotoh, Natl. Sci. Rept. Ochanomizu Univ., 24 (1973) 27-34.
  • R. L. Graham, L. Lovasz, Adv. Math., 29 (1978) 60-88.
  • R. L. Graham, A. J. Hoffman, H. Hosoya, J. Graph Theory, 1 (1977) 85-88.
  • H. Hosoya, F. Harary, J. Math. Chem., 12 (1993) 211-218.
  • H. Hosoya, K. Hosoi, I. Gutman, Theor. Chim. Acta, 38 (1975) 37-47.
  • H. Hosoya, Fibonacci Quarterly, 11 (1973) 255-266.
  • T. Koshy, Fibonacci and Lucas numbers with applications, Wiley, New York (2001).
  • Wikipedia, Chebyshev polynomials.
  • Wikipedia, Hermite polynomial.
  • WolframMathWorld, Hermite polynomial.
  • H. Hosoya, Natl. Sci. Rept. Ochanomizu Univ., 32 (1981) 127-138.
  • H. Hosoya, J. Chem. Documentation, 12 (1972) 181-183.
  • A. Mowshowitz, M. Dehmer, Entropy (Basel), 17 (2015) 1054-1062.
  • T. Aurues, Kokyuroku of Res. Inst. Math. Sci. Kyoto Univ., 1852 (2013) 165-176.
  • H. Hosoya, Topological index––New mathematics bridging from Fibonacci numbers to Pythagorean triangles––, (in Nihongo), Nihon-Hyoronsha, Tokyo (2012).
There are 30 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Haruo Hosoya

Publication Date January 2, 2019
Acceptance Date July 31, 2018
Published in Issue Year 2019 Volume: 1 Issue: 1

Cite

APA Hosoya, H. (2019). The most private features of the topological index. MATI, 1(1), 25-33.
AMA Hosoya H. The most private features of the topological index. Mati. January 2019;1(1):25-33.
Chicago Hosoya, Haruo. “The Most Private Features of the Topological Index”. MATI 1, no. 1 (January 2019): 25-33.
EndNote Hosoya H (January 1, 2019) The most private features of the topological index. MATI 1 1 25–33.
IEEE H. Hosoya, “The most private features of the topological index”, Mati, vol. 1, no. 1, pp. 25–33, 2019.
ISNAD Hosoya, Haruo. “The Most Private Features of the Topological Index”. MATI 1/1 (January 2019), 25-33.
JAMA Hosoya H. The most private features of the topological index. Mati. 2019;1:25–33.
MLA Hosoya, Haruo. “The Most Private Features of the Topological Index”. MATI, vol. 1, no. 1, 2019, pp. 25-33.
Vancouver Hosoya H. The most private features of the topological index. Mati. 2019;1(1):25-33.
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