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. "This is a continuation of "Theory of Coronoid Hydrocarbons" which appeared as No. 54 (1991) in the series Lecture Notes in Chemistry. Coronoids are chemical graphs which represent certain polycyclic conjugated hydrocarbons with holes. The treatment is interdisciplinary, spanning from references to organic syntheses or attempted syntheses - to stringent mathematical applications of combinatoric and graph theory. In a great part of the work dealing with enumerations of chemical graphs, algebraic methods are employed on one hand and computer programming on the other. The book demonstrates a piece of mathematical chemistry in the form which is a relatively new branch of science; the very term "mathematical chemistry" was not firmly established before the appearance of the Journal of Mathematical Chemistry in 1987."--BOOK JACKET Front Matter....Pages I-XII Introduction and Chemical Relevance....Pages 1-18 Classifications of Polygonal Systems, and Some Aspects of Kekulé Structures....Pages 19-53 Benzenoids, Single Coronoids and Multiple Coronoids....Pages 55-93 Invariants of Single Coronoids....Pages 95-114 Chemical Formulas of Single Coronoids....Pages 115-149 Further Studies of the Chemical Formulas of Single Coronoids....Pages 151-177 Generation and Enumeration of Single Coronoid Isomers....Pages 179-234 Theorems for Single Coronoids....Pages 235-273 Back Matter....Pages 275-300
