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標(biāo)題: Titlebook: Kekulé Structures in Benzenoid Hydrocarbons; S. J. Cyvin,I. Gutman Book 1988 Springer-Verlag Berlin Heidelberg 1988 Combinatorics.algorith [打印本頁]

作者: 支票    時(shí)間: 2025-3-21 18:25
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作者: coagulate    時(shí)間: 2025-3-21 22:34
,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
作者: 令人心醉    時(shí)間: 2025-3-22 03:31

作者: Guaff豪情痛飲    時(shí)間: 2025-3-22 06:57
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
作者: metropolitan    時(shí)間: 2025-3-22 08:54
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
作者: asthma    時(shí)間: 2025-3-22 16:41

作者: diskitis    時(shí)間: 2025-3-22 19:39

作者: 重力    時(shí)間: 2025-3-23 00:18

作者: 誰在削木頭    時(shí)間: 2025-3-23 02:26
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
作者: 過多    時(shí)間: 2025-3-23 05:32
,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
作者: corn732    時(shí)間: 2025-3-23 13:16

作者: 譏諷    時(shí)間: 2025-3-23 16:09

作者: 大約冬季    時(shí)間: 2025-3-23 18:57
S. J. Cyvin,I. Gutman August 1995 to early 1996. There is a forty-page epilogue at the end, situated five years later, in 2000. The novel focuses on a spectacular reversal—one of the adult characters, forty-three-year-old Yezad Chenoy, veers, in the space of a few months, from a modern, “enlightened,” indifferent skepti
作者: Conclave    時(shí)間: 2025-3-24 02:15
S. J. Cyvin,I. Gutman August 1995 to early 1996. There is a forty-page epilogue at the end, situated five years later, in 2000. The novel focuses on a spectacular reversal—one of the adult characters, forty-three-year-old Yezad Chenoy, veers, in the space of a few months, from a modern, “enlightened,” indifferent skepti
作者: Flatus    時(shí)間: 2025-3-24 04:56
S. J. Cyvin,I. Gutmanm if they accidentally fell to the floor, he would have said as an adult that nothing is sacred, that everything should be open to question. . For “to respect the sacred is to be paralyzed by it.”. As Rushdie admits, the turmoil following the publication of . in 1988 caused him to reconsider his lib
作者: 做方舟    時(shí)間: 2025-3-24 08:55

作者: morale    時(shí)間: 2025-3-24 11:25
S. J. Cyvin,I. Gutmanut. It also stands out as the only industrialized country still embroiled in a debate over whether creationism should be taught in public schools. These two issues help reveal the dynamic interplay between religion and politics in the United States, and the role and power of conservative religious g
作者: abreast    時(shí)間: 2025-3-24 16:31

作者: 慢慢流出    時(shí)間: 2025-3-24 21:15
Lecture Notes in Chemistryhttp://image.papertrans.cn/k/image/542367.jpg
作者: interrogate    時(shí)間: 2025-3-25 01:02
https://doi.org/10.1007/978-3-662-00892-8Combinatorics; algorithms; computational chemistry; discrete mathematics; graph; graph theory; complexity
作者: 最有利    時(shí)間: 2025-3-25 05:20
Benzenoid Systems: Basic Concepts,procedure, it is beneficial to seek for an appropriate mathematical representation of benzenoid hydrocarbons as well as of Kekulé structures. Fortunately both such mathematical objects are already known in combinatorics. These are the benzenoid systems and the perfect matchings.
作者: reject    時(shí)間: 2025-3-25 08:40

作者: arabesque    時(shí)間: 2025-3-25 14:41
Regular Six-Tier Strips and Related Systems, Some of these formulas have been given more or less sporadically in different connections (Cyvin and Gutman 1986a; Cyvin SJ, Cyvin and Bergan 1986; Gutman and Cyvin 1987b; Cyvin 1987b; Cyvin BN and Cyvin 1987), but a systematic treatment has not been published before.
作者: Collision    時(shí)間: 2025-3-25 18:40

作者: 招人嫉妒    時(shí)間: 2025-3-25 22:30
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 6.5) and pericondensed (Chapter 16).
作者: 墊子    時(shí)間: 2025-3-26 01:04

作者: 玷污    時(shí)間: 2025-3-26 05:13
Kekulé Structures in Benzenoid Hydrocarbons978-3-662-00892-8Series ISSN 0342-4901 Series E-ISSN 2192-6603
作者: extinct    時(shí)間: 2025-3-26 10:13
Introduction,Chemists have been faced with benzenoid hydrocarbons and their derivatives from the earliest days of organic chemistry. These chemical compounds are usually insensitive, stable over long periods of time, available in large amounts and cheap. They can be easily purified and characterized and undergo well understood chemical reactions.
作者: 鼓掌    時(shí)間: 2025-3-26 15:53

作者: dysphagia    時(shí)間: 2025-3-26 20:07
,Non-Kekuléan and Essentially Disconnected Benzenoid Systems,In the present chapter we outline the basic facts about those benzenoids which are not normal. As already explained in Paragraph 2.3.2 these are the non-Kekuléan systems (for which no Kekulé structure can be drawn) and the essentially disconnected systems (which possess fixed single or double bonds).
作者: 粗糙    時(shí)間: 2025-3-26 21:48

作者: 籠子    時(shí)間: 2025-3-27 01:57
Classes of Basic Benzenoids (II): Multiple Zigzag Chain,A zigzag chain may be single or multiple. Such a system (a triple chain) is depicted in Fig. 1, where two different notations are explained, viz. A and Z. It is useful to have access to both of these definitions.
作者: 外觀    時(shí)間: 2025-3-27 05:56

作者: 有助于    時(shí)間: 2025-3-27 10:54

作者: Synthesize    時(shí)間: 2025-3-27 15:19
Pericondensed All-Benzenoids and Related Systems,For a definition of all-benzenoids it is referred to Paragraph 2.2.8. Catacondensed all-benzenoids are treated in Section 6.5. Two classes of (generally pericondensed) all-benzenoids are found in CHART 12-VIII.
作者: 清楚    時(shí)間: 2025-3-27 20:45

作者: 學(xué)術(shù)討論會(huì)    時(shí)間: 2025-3-27 23:54
S. J. Cyvin,I. Gutmanngoing battle in Palestine. Also, journalistic comments, cultural analyses, and historical works on these earlier developments have not only been reprinted and reread with renewed and heightened interest, but appeared to be confirmed as quasi-prophetic statements through the events of 9/11 and its a
作者: 煤渣    時(shí)間: 2025-3-28 05:45

作者: 連鎖,連串    時(shí)間: 2025-3-28 08:31
S. J. Cyvin,I. Gutmanve conveys a certain sense of pessimism and fatalism in the face of the reversibility of beliefs: bigotry can be an acquired and cultivated taste rather than the result of indoctrination at an early age, and “reform” is an unstable, reversible process. The narrative gives a great deal of importance
作者: Counteract    時(shí)間: 2025-3-28 14:02

作者: 失眠癥    時(shí)間: 2025-3-28 15:09

作者: 分期付款    時(shí)間: 2025-3-28 22:30

作者: Flirtatious    時(shí)間: 2025-3-28 23:07
S. J. Cyvin,I. Gutmanl the cultural and legal wars being waged over the role of science and religion. Conservative Christians have, in part, achieved their agenda by applying the brakes on research, education, and funding that could reduce the rates of teen pregnancy, birth, and abortion that are higher in the United St
作者: 詢問    時(shí)間: 2025-3-29 03:39
iders in the government-funded social service system. If it had been administered in a neutral and nonpartisan manner, Charitable Choice could have served as a springboard for important discussions about the role of faith in a modern corporatist society and how to improve on collaborations between t
作者: Fulsome    時(shí)間: 2025-3-29 08:23

作者: 頌揚(yáng)國家    時(shí)間: 2025-3-29 12:13
,Kekulé Structures and their Numbers: General Results,ems. We are, however, not going to list here the numerous known relations for ., which apply to more general classes of graphs (namely both benzenoid and non-benzenoid). Exceptions are . and . (see below), which happen to be the basis for virtually all the enumeration techniques employed in the present book.
作者: 鉆孔    時(shí)間: 2025-3-29 15:53

作者: fender    時(shí)間: 2025-3-29 22:14
0342-4901 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 o
作者: 打算    時(shí)間: 2025-3-30 02:36

作者: Custodian    時(shí)間: 2025-3-30 07:59

作者: Cardioplegia    時(shí)間: 2025-3-30 08:41
Catacondensed Benzenoids,erived the connection between Fibonacci numbers and the number of Kekulé structures for single zigzag chains, and supplemented the treatment by group-theoretical considerations of symmetry. A treatise on three connections between Fibonacci numbers and Kekulé structures is due to Balaban and Tomescu (1984); see also Hosoya (1973).
作者: 可商量    時(shí)間: 2025-3-30 14:36
Classes of Basic Benzenoids (IV): Rectangles,.5. Figure 1 shows R. (4,4) and R. (3,3), a 7-tier and a 5-tier regular strip, respectively. An intermediate system is identified as a non-regular 6-tier strip (see Fig. 1); it is an obvious non-Kekuléan.
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