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Central vertices versus central rings in polycyclic systems

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Abstract

This naive supposition that the central vertex(es) in polycyclic graphs should always belong to central ring(s) was examined for various cases of systems containing condensed (fused) 3-, 4-, 5-, 6- and 7-membered rings, as well as combinations of 5- and 7-membered rings. It was found that this conjecture is a general trend valid in the great majority of cases. However, counterexamples with the smallest number of rings are reported for all types of these systems.

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Authors and Affiliations

  1. Physical Chemistry Department, University of Technology, 8010, Burgas, Bulgaria

    Danail Bonchev

  2. Organic Chemistry Department, Polytechnic University, 77206, Bucharest, Roumania

    Alexandru T. Balaban

Authors
  1. Danail Bonchev
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  2. Alexandru T. Balaban
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Bonchev, D., Balaban, A.T. Central vertices versus central rings in polycyclic systems. J Math Chem 14, 287–304 (1993). https://doi.org/10.1007/BF01164472

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  • DOI: https://doi.org/10.1007/BF01164472

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