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 KekulÉ Structures.- 2.1 Introduction.- 2.2 Classification of Single Coronoids in Relation to Kekulé Structures.- 2.3 Degenerate and Generalized Single Coronoids.- 2.4 Examples of Single Coronoids, and Their Kekulé Structure Counts.- 2.5 Survey of Kekulé Structure Counts for Single Coronoids.- 2.6 Isospectral Single Coronoids.- 2.7 Some Main Classes of Polyhexes.- 2.8 Examples of Graph—Theoretically Nonplanar Polyhexes.- 2.9 Polygonal Systems.- 3 – Benzenoids, Single Coronoids and Multiple Coronoids.- 3.1 General Considerations, Basic Definitions, and Terminology.- 3.2 Invariants and Relations Between Them.- 3.3 Additional Definitions, Terminology and Relations.- 3.4 First Enumeration Results for Benzenoids and Coronoids.- 3.5 Smallest Multiple Coronoids.- 3.6 Perfect and Imperfect Extremal Coronoids.- 3.7 Chemical Formulas.- 3.8 Numbers of Isomers.- 4 – Invariants of Single Coronoids.- 4.1 Introduction.- 4.2 Summary of Invariants and Relations Between Them.- 4.3 Maximum Number of Internal Vertices, and Minimum Number of Hexagons.- 4.4 Possible Values of Invariants.- 4.5 Upper and Lower Bounds for Some Invariants.- 4.6 Minimum Number of Vertices of Degree Two, and Maximum Number of Hexagons.- 5 – Chemical Formulas of Single Coronoids.- 5.1 Introduction.- 5.2 Terminology.- 5.3 Inequalities in Terms of the Formula Coefficients.- 5.4 Circumscribing and Excising.- 5.5 Extremal Single Coronoids and Some of TheirSubclasses.- 5.6 Extreme Single Coronoids.- 5.7 Table of Formulas.- 5.8 Single Coronoid Isomers and Number of Edges.- 6 – Further Studies of The Chemical Formulas of Single Coronoids.- 6.1 Introduction.- 6.2 Ground Forms and Higher Members.- 6.3 Formula Index.- 6.4 A Property of Circumscribing.- 6.5 Building-Up.- Supplement.- 7 - Generation and Enumeration of Single Coronoid Isomers.- 7.1 Tabulation of Complete Data.- 7.2 Forms.- 7.3 Methods of Generation.- 7.4 Circular Single Coronoids.- 7.5 Circular Benzenoids Perforated by Phenalene Hole.- 7.6 Circular Benzenoids Perforated by Coronene Hole.- 7.7 Supplementary Enumeration Data.- 8 – Theorems for Single Coronoids.- 8.1 Introduction.- 8.2 Some Basic Concepts.- 8.3 A Property of Kekulé Structures.- 8.4 Essentially Disconnected Single Coronoids.- 8.5 Normal Single Coronoids.- 8.6 Regular Single Coronoids.- 8.7 Half Essentially Disconnected Single Coronoids.- 8.8 Kekuléan and Non-Kekuléan Single Coronoids.
