Theory of Coronoid Hydrocarbons II [Paperback]

The present monograph is a continuation of Cyvin SJ, Brunvoll J and Cyvin (1991c), a reference to be found in Bibliography. Naturally, the previous volume is cited frequently here. For the sake of brevity, it is referred to as Volume I . References to different chapters, sections or paragraphs are given like Vol. 1-1, 1-1.2 or 1-1.2.2, respectively. Also tables and equations in Volume I are cited; the very last equation therein, for instance, is Vol. I-{9.9). The present text spans from references to organic syntheses or attempted organic syntheses - - to stringent mathematical theorems proved by graph-theoretical methods. Enumerations of coronoid systems is a substantial part of the work. Algebraic methods involving combinatorics and generating functions are employed on one hand, and computer programming on the other. The whole book is supposed to demonstrate a piece of mathematical chemistry, which can be characterized as lying on the interfaces between mathematics, chemistry and computer science , a formulation used for the MATH/CHEM/COMP Conferences; d. Cyvin SJ, Brunvoll and Cyvin (1989d) in Bibliography. Financial support to BNC from the Norwegian Council for Science and the Humanities is gratefully acknowledged.1  Introduction and Chemical Relevance.- 1.1 Reiteration.- 1.2 Motivation.- 1.3 Cycloarenes.- 1.4 Annulenes, Annulenoannulenes, and Annulene Derivatives.- 1.5 Antikekulene.- 1.6 Corannulene.- 1.7 Cyclacenes.- 1.8 Buckminsterfullerene.- 1.9 Nomenclature and Coding.- 1.10 Conclusion.- 2  Classification of Polygonal Systems, and Some Aspects of Kekul? Structures.- 2.1 Introduction.- 2.2 Classification of Single Coronoids in Relation to Kekul? Structures.- 2.3 Degenerate and Generalized Single Coronoids.- 2.4 Examples of Single Coronoids, and Their Kekul? Structure Counts.- 2.5 Survey of Kekul? Structure Counts for Single Coronoids.- 2.6 Isospectral Single Coronoids.- 2.7 Some Main Classes of Polyhexes.- 2.8 Examples of GraphTheoretically Nonplanar lS)