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The most private features of the topological index

Yıl 2019, Cilt: 1 Sayı: 1, 25 - 33, 02.01.2019

Haruo Hosoya

Öz

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.

Anahtar Kelimeler

Hosoya-index Z-index godfather QSAR

Kaynakça

  • 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).

Yıl 2019, Cilt: 1 Sayı: 1, 25 - 33, 02.01.2019

Haruo Hosoya

Öz

Kaynakça

  • 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).
Toplam 30 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Articles
Yazarlar

Haruo Hosoya

Yayımlanma Tarihi 2 Ocak 2019
Kabul Tarihi 31 Temmuz 2018
Yayımlandığı Sayı Yıl 2019 Cilt: 1 Sayı: 1

Kaynak Göster

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. Ocak 2019;1(1):25-33.
Chicago Hosoya, Haruo. “The Most Private Features of the Topological Index”. MATI 1, sy. 1 (Ocak 2019): 25-33.
EndNote Hosoya H (01 Ocak 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, c. 1, sy. 1, ss. 25–33, 2019.
ISNAD Hosoya, Haruo. “The Most Private Features of the Topological Index”. MATI 1/1 (Ocak 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, c. 1, sy. 1, 2019, ss. 25-33.
Vancouver Hosoya H. The most private features of the topological index. Mati. 2019;1(1):25-33.
 Kapak Resmi İndir