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Kekulé Structures in Benzenoid Hydrocarbons

  • Book
  • © 1988

Overview

Authors:
  1. S. J. Cyvin

    1. The Norwegian Institute of Technology, Division of Physical Chemistry, The University of Trondheim, Trondheim-NTH, Norway

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  2. I. Gutman

    1. Faculty of Science, University of Kragujevac, Kragujevac, Yugoslavia

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Lecture Notes in Chemistry (LNC, volume 46)

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Table of contents (18 chapters)

  1. Front Matter

    Pages N2-XV
    Download chapter PDF

  2. Introduction

    • S. J. Cyvin, I. Gutman
    Pages 1-7

  3. Benzenoid Systems: Basic Concepts

    • S. J. Cyvin, I. Gutman
    Pages 8-23

  4. Kekulé Structures and their Numbers: General Results

    • S. J. Cyvin, I. Gutman
    Pages 24-32

  5. Introduction to the Enumeration of Kekulé Structures

    • S. J. Cyvin, I. Gutman
    Pages 33-50

  6. Non-Kekuléan and Essentially Disconnected Benzenoid Systems

    • S. J. Cyvin, I. Gutman
    Pages 51-58

  7. Catacondensed Benzenoids

    • S. J. Cyvin, I. Gutman
    Pages 59-82

  8. Annelated Benzenoids

    • S. J. Cyvin, I. Gutman
    Pages 83-103

  9. Classes of Basic Benzenoids (I)

    • S. J. Cyvin, I. Gutman
    Pages 104-133

  10. Classes of Basic Benzenoids (II): Multiple Zigzag Chain

    • S. J. Cyvin, I. Gutman
    Pages 134-154

  11. Regular Three-, Four- and Five-Tier Strips

    • S. J. Cyvin, I. Gutman
    Pages 155-180

  12. Classes of Basic Benzenoids (III)

    • S. J. Cyvin, I. Gutman
    Pages 181-199

  13. Classes of Basic Benzenoids (IV): Rectangles

    • S. J. Cyvin, I. Gutman
    Pages 200-225

  14. Regular Six-Tier Strips and Related Systems

    • S. J. Cyvin, I. Gutman
    Pages 226-244

  15. Determinant Formulas

    • S. J. Cyvin, I. Gutman
    Pages 245-272

  16. Algorithm: A Generalization

    • S. J. Cyvin, I. Gutman
    Pages 273-279

  17. Pericondensed All-Benzenoids and Related Systems

    • S. J. Cyvin, I. Gutman
    Pages 280-290

  18. Benzenoids with Repeated Units

    • S. J. Cyvin, I. Gutman
    Pages 291-313

  19. Distribution of K, and Kekulé Structure Statistics

    • S. J. Cyvin, I. Gutman
    Pages 314-334

  20. Back Matter

    Pages 335-349
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Keywords

About this book

This text is an attempt to outline the basic facts concerning Kekul€ structures in benzenoid hydrocarbons: their history, applica­ tions and especially enumeration. We further pOint out the numerous and often quite remarkable connections between this topic and various parts of combinatorics and discrete mathematics. Our book is primarily aimed toward organic and theoretical chemists interested in the enume­ ration of Kekule structures of conjugated hydrocarbons as well as to scientists working in the field of mathematical and computational chemistry. The book may be of some relevance also to mathematicians wishing to learn about contemporary applications of combinatorics, graph theory and other branches of discrete mathematics. In 1985, when we decided to prepare these notes for publication, we expected to be able to give a complete account of all known combi­ natorial formulas for the number of Kekule structures of benzenoid hydrocarbons. This turned out to be a much more difficult task than we initially realized: only in 1986 some 60 new publications appeared dealing with the enumeration of Kekule structures in benzenoids and closely related topics. In any event, we believe that we have collec­ ted and systematized the essential part of the presently existing results. In addition to this we were delighted to see that the topics to·which we have been devoted in the last few years nowadays form a rapidly expanding branch of mathematical chemistry which attracts the attention of a large number of researchers (both chemists and mathematicians).

Authors and Affiliations

  • The Norwegian Institute of Technology, Division of Physical Chemistry, The University of Trondheim, Trondheim-NTH, Norway

    S. J. Cyvin

  • Faculty of Science, University of Kragujevac, Kragujevac, Yugoslavia

    I. Gutman

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