Summary
An extremal benzenoid, A, is defined by having the maximum number of internal vertices for the given number of hexagons. A number of properties of A are treated, where the modes of hexagons play an important role. The processes of circumscribing and excising for benzenoids are defined and treated in detail, supported by analytical expressions. It is concluded by stating that A can always be circumscribed an unlimited number of times.
Zusammenfassung
Ein extremes Benzenoid A wird durch die maximale Anzahl von internen Vertices für eine gegebene Anzahl von Sechsecken definiert. Es werden einige Eigenschaften von A behandelt, wobei die Erscheinungsformen der Sechsecke eine wichtige Rolle spielen. Der Prozess der Umschreibung und Ausschneidung der Benzenoide wird definiert und im Detail behandelt, wobei analytische Ausdrücke zur Unterstützung herangezogen werden. Es wird geschlossen, daß A stets unbegrenzt oft umschrieben werden kann.
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Cyvin, S.J., Cyvin, B.N. & Brunvoll, J. Contributions to the theory of benzenoid isomers: Some properties of extremal benzenoids. Monatsh Chem 124, 477–492 (1993). https://doi.org/10.1007/BF00819516
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DOI: https://doi.org/10.1007/BF00819516