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Titlebook: Kekulé Structures in Benzenoid Hydrocarbons; S. J. Cyvin,I. Gutman Book 1988 Springer-Verlag Berlin Heidelberg 1988 Combinatorics.algorith

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发表于 2025-3-21 18:25:55 | 显示全部楼层 |阅读模式
书目名称Kekulé Structures in Benzenoid Hydrocarbons
编辑S. J. Cyvin,I. Gutman
视频video
丛书名称Lecture Notes in Chemistry
图书封面Titlebook: Kekulé Structures in Benzenoid Hydrocarbons;  S. J. Cyvin,I. Gutman Book 1988 Springer-Verlag Berlin Heidelberg 1988 Combinatorics.algorith
描述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
出版日期Book 1988
关键词Combinatorics; algorithms; computational chemistry; discrete mathematics; graph; graph theory; complexity
版次1
doihttps://doi.org/10.1007/978-3-662-00892-8
isbn_softcover978-3-540-18801-8
isbn_ebook978-3-662-00892-8Series ISSN 0342-4901 Series E-ISSN 2192-6603
issn_series 0342-4901
copyrightSpringer-Verlag Berlin Heidelberg 1988
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发表于 2025-3-21 22:34:11 | 显示全部楼层
,Kekulé Structures and their Numbers: General Results,n on generally valid statements, i.e. statements which hold for all benzenoids or for all Kekuléan benzenoids or (at least) for all catacondensed systems. We are, however, not going to list here the numerous known relations for ., which apply to more general classes of graphs (namely both benzenoid
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Classes of Basic Benzenoids (I),small parameters they degenerate to catacondensed systems. Some benzenoids related to those of the main classes are also treated. They are also basic in general, but may degenerate to composite or catacondensed systems, and even disconnected. Trivial cases of no hexagons with .=1 are also encountere
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Regular Three-, Four- and Five-Tier Strips,. The 3-tier strips are relatively simple and well known (Gordon and Davison 1952; Yen 1971; Cyvin 1986d). A systematic study of 4-tier strips has been performed more recently by Cyvin (1986d). Before that some studies of 5-tier strips had been published (Gordon and Davison 1952; Yen 1971; Ohkami an
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Benzenoids with Repeated Units,ins (see, e.g. Fig. 4.9 or CHART 6-II) may be considered as (trivial) benzenoids with repeated units. A less trivial example is the single chain with equal segments in a zigzag arrangement (CHART 6-II). Several typical examples are found among the all-benzenoid classes, both catacondensed (Section 6
发表于 2025-3-23 05:32:16 | 显示全部楼层
,Distribution of ,, and Kekulé Structure Statistics,he other hand it was known at that time that infinitely many benzenoids have .=9. Until quite recently the only known theorem about this question was: If .{B} = 2, then B = . (Gutman 1983). In other words, there exists one benzenoid with .=2. Furthermore, it was conjectured that there is one benzeno
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