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Coding and Ordering Benzenoids and Their Kekulé Structures

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Part of the book series: Carbon Materials: Chemistry and Physics ((CMCP,volume 5))

Abstract

The coding and ordering of benzenoids and their Kekulé structures is discussed. The Wiswesser coding and the binary boundary coding systems are delineated and illustrated. The Wiswesser codes are also used to order cata- and peri-condensed benzenoids. The concept of numeric Kekulé structure is used for coding and ordering Kekulé structures of cata-condensed benzenoids. In the case of peri-condensed benzenoids the numeric code of Kekulé structures is not discriminative enough since there are Kekulé structures with identical numeric codes. In that case an additional code is needed, and here we suggest the perimeter code.

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References

  • Balaban AT, Brunvoll J, Cioslowski J et al (1987) Z Naturforsch 42a:863–870

    Google Scholar 

  • Balaban AT, Furtula B, Gutman I, Kovačević R (2007) Polycycl Aromat Comp 27:51–63

    Article  CAS  Google Scholar 

  • Clar E (1941) Aromatische kohlenwasserstoffe – polycyclische systeme. Springer, Berlin

    Book  Google Scholar 

  • Dewar MJS, Trinajstić N (1970) Coll Czech Chem Commun 35:3137–3189

    Article  Google Scholar 

  • Dias JR (1987) Handbook of polycyclic hydrocarbons. Part A. Benzenoid hydrocarbons. Elsevier, Amsterdam

    Google Scholar 

  • Džonova-Jerman-Blažič B, Trinajstić N (1982) Comput Chem 6:121–132

    Article  Google Scholar 

  • Faraday M (1825) Phil Trans Roy Soc (London) 115:440–466

    Article  Google Scholar 

  • Graovac A, Trinajstić N, Randić M (1980) Croat Chem Acta 53:571–579

    Google Scholar 

  • Gutman I, Cyvin SJ (1988) Kekulé structures in benzenoid hydrocarbons. Springer, Berlin

    Google Scholar 

  • Gutman I, Cyvin SJ (1989) Introduction to the theory of benzenoid hydrocarbons. Springer, Berlin

    Book  Google Scholar 

  • Gutman I, Trinajstić N (1976) Croat Chem Acta 48:297–299

    CAS  Google Scholar 

  • Gutman I, Vukičević D, Graovac A, Randić M (2004) J Chem Inf Comput 44:296–299

    Article  CAS  Google Scholar 

  • Harary F, Palmer EM (1973) Graphical enumeration. Academic, New York

    Google Scholar 

  • Henson RA, Windlinx KJ, Wiswesser WJ (1975) Comput Biomed Res 8:3–71

    Article  Google Scholar 

  • Herndon WC, Bruce AJ (1987) In: King RB, Rouvray DH, (eds) Graph theory and topology in chemistry. Elsevier Science Publishing, Amsterdam, pp 491–513

    Google Scholar 

  • Klein DJ (2010) Acta Chim Slov 57:591–596

    CAS  Google Scholar 

  • Klein DJ, Trinajstić N (1990) J Mol Struct (Theochem) 206:135–142

    Article  Google Scholar 

  • Klein DJ, Herndon WC, Randić M (1988) New J Chem 12:71–76

    CAS  Google Scholar 

  • Lučić B, Trinajstić N, Zhou B (2009) Chem Phys Lett 475:146–148

    Article  Google Scholar 

  • Miličević A, Nikolić S, Trinajstić N (2004) J Chem Inf Comput Sci 44:415–421

    Article  Google Scholar 

  • Müller WR, Szymanski K, Knop JV et al (1990) J Comput Chem 11:223–235

    Article  Google Scholar 

  • Nikolić S, Miličević A, Trinajstić N (2006) Croat Chem Acta 79:155–159

    Google Scholar 

  • Pompe M, Randić M, Balaban AT (2008) J Phys Chem 112:11769–11776

    Article  CAS  Google Scholar 

  • Randić M (2003) Chem Rev 103:3449–3605

    Article  Google Scholar 

  • Randić M (2004) J Chem Inf Comput Sci 44:365–372

    Article  Google Scholar 

  • Randić M, Balaban AT (2004) Polycycl Aromat Comp 24:173–193

    Article  Google Scholar 

  • Randić M, Nikolić S, Trinajstić N (1987) Gazz Chim Acta 117:69–73

    Google Scholar 

  • Randić M, Plavšić D, Trinajstić N (1988) Gazz Chim Acta 118:441–446

    Google Scholar 

  • Trinajstić N (1983) Chemical graph theory, vol II. CRC, Boca Raton

    Google Scholar 

  • Trinajstić N (1990) J Math Chem 5:171–175

    Article  Google Scholar 

  • Trinajstić N (1992) Chemical graph theory, 2 revth edn. CRC, Boca Raton

    Google Scholar 

  • Trinajstić N, Jeričević Ž, von Knop J et al (1983) Pure Appl Chem 55:379–390

    Article  Google Scholar 

  • Trinajstić N, Nikolić S, von Knop J et al (1991) Computational chemical graph theory. Simon & Schuster/Horwood, Chichester

    Google Scholar 

  • von Knop J, Szymanski K, Jeričević Ž, Trinajstić N (1983) J Comput Chem 4:23–32

    Article  CAS  Google Scholar 

  • von Knop J, Szymanski K, Jeričević Ž, Trinajstić N (1984a) MATCH Commun Math Comput Chem 16:119–134

    CAS  Google Scholar 

  • von Knop J, Szymanski K, Klasinc L, Trinajstić N (1984b) Comput Chem 8:107–115

    Article  CAS  Google Scholar 

  • von Knop J, Szymanski K, Trinajstić N, Křivka P (1984c) Comput Math Appl 10:369–382

    Article  Google Scholar 

  • von Knop J, Müller WR, Szymanski K, Trinajstić N (1985) Computer generation of certain classes of molecules. SKTH, Zagreb

    Google Scholar 

  • von Knop J, Mûller WR, Szymanski K, Trinajstić N (1990) J Chem Inf Comput Sci 30:159–160

    Article  CAS  Google Scholar 

  • Vukičević D, Trinajstić N (2007) J Math Chem 42:575–583

    Article  Google Scholar 

  • Vukičević D, Randić M, Balaban AT (2004) J Math Chem 36:271–279

    Article  Google Scholar 

  • Wiswesser WJ (1954) A line-formula chemical notation. Crowell, New York

    Google Scholar 

  • Živković TP, Trinajstić N (1987) Chem Phys Lett 136:141–144

    Article  Google Scholar 

  • Živković TP, Trinajstić N, Randić M (1981) Croat Chem Acta 54:309–320

    Google Scholar 

  • Živković T, Randić M, Klein DJ et al (1995) J Comput Chem 16:517–526

    Article  Google Scholar 

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Acknowledgements

This report was supported by the Croatian Ministry of Science, Education and Sports by grants No. 098-1770495-2919 and No. 022-1770495-2901.

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Correspondence to Bono Lučić .

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Lučić, B., Miličević, A., Nikolić, S., Trinajstić, N. (2011). Coding and Ordering Benzenoids and Their Kekulé Structures. In: Putz, M. (eds) Carbon Bonding and Structures. Carbon Materials: Chemistry and Physics, vol 5. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1733-6_9

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