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Author: Ivan Gutman Publisher: Springer Science & Business Media ISBN: 3642871437 Category : Science Languages : en Pages : 157
Book Description
In the last hundred years benzenoid hydrocarbons have constantly attracted the attention of both experimental and theoretical chemists. In spite of the fact that some of the basic concepts of the theory of benzenoid hydrocarbons have their origins in the 19th and early 20th century, research in this area is still in vigorous expansion. The present book provides an outline of the most important current theoretical approaches to benzenoids. Emphasis is laid on the recent developments of these theories, which can certainly be characterized as a significant advance. Em phasis is also laid on practical applications rather than on "pure" theory. The book assumes only some elementary knowledge of organic and physical chemistry and requires no special mathematical training. Therefore we hope that undergraduate students of chemistry will be able to follow the text without any difficulty. Since organic and physical chemists are nowadays not properly acquaint ed lVith the modern theory of benzenoid molecules, we hope that they will find this book both useful and informative. Our book is also aimed at theoretical chemists, especially those concerned with the "topological" features of organic molecules. The authors are indebted to Dr. WERNER SCHMIDT (Ahrensburg, FRG) for valuable discussions. One of the authors (1. G.) thanks the Royal Norwegian Council for Scientific and Industrial Research for financial support during 1988, which enabled him to stay at the University of Trondheim and write the present book. Trondheim, July 1989 Ivan Gutman Sven J. Cyvin Contents Chapter 1 Benzenoid Hydrocarbons .
Author: Ivan Gutman Publisher: Springer Science & Business Media ISBN: 3642871437 Category : Science Languages : en Pages : 157
Book Description
In the last hundred years benzenoid hydrocarbons have constantly attracted the attention of both experimental and theoretical chemists. In spite of the fact that some of the basic concepts of the theory of benzenoid hydrocarbons have their origins in the 19th and early 20th century, research in this area is still in vigorous expansion. The present book provides an outline of the most important current theoretical approaches to benzenoids. Emphasis is laid on the recent developments of these theories, which can certainly be characterized as a significant advance. Em phasis is also laid on practical applications rather than on "pure" theory. The book assumes only some elementary knowledge of organic and physical chemistry and requires no special mathematical training. Therefore we hope that undergraduate students of chemistry will be able to follow the text without any difficulty. Since organic and physical chemists are nowadays not properly acquaint ed lVith the modern theory of benzenoid molecules, we hope that they will find this book both useful and informative. Our book is also aimed at theoretical chemists, especially those concerned with the "topological" features of organic molecules. The authors are indebted to Dr. WERNER SCHMIDT (Ahrensburg, FRG) for valuable discussions. One of the authors (1. G.) thanks the Royal Norwegian Council for Scientific and Industrial Research for financial support during 1988, which enabled him to stay at the University of Trondheim and write the present book. Trondheim, July 1989 Ivan Gutman Sven J. Cyvin Contents Chapter 1 Benzenoid Hydrocarbons .
Author: Sven J. Cyvin Publisher: Springer Science & Business Media ISBN: 3662008920 Category : Science Languages : en Pages : 366
Book Description
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).
Author: Siemion Fajtlowicz Publisher: American Mathematical Soc. ISBN: 9780821837610 Category : Mathematics Languages : en Pages : 388
Book Description
In this collection from the working group meeting of November 2001, contributors formulate problems, share ideas and approaches, and plan an agenda for future interactions. Their fields included theoretical and applied computer science, statistics, discrete and non-discrete mathematics, chemistry and information science, and the topics centered on
Author: Sergei Ovchinnikov Publisher: Springer Science & Business Media ISBN: 1461407974 Category : Mathematics Languages : en Pages : 295
Book Description
This introductory text in graph theory focuses on partial cubes, which are graphs that are isometrically embeddable into hypercubes of an arbitrary dimension, as well as bipartite graphs, and cubical graphs. Currently, Graphs and Cubes is the only book available on the market that presents a comprehensive coverage of cubical graph and partial cube theories. Many exercises, along with historical notes, are included at the end of every chapter, and readers are encouraged to explore the exercises fully, and use them as a basis for research projects. The prerequisites for this text include familiarity with basic mathematical concepts and methods on the level of undergraduate courses in discrete mathematics, linear algebra, group theory, and topology of Euclidean spaces. While the book is intended for lower-division graduate students in mathematics, it will be of interest to a much wider audience; because of their rich structural properties, partial cubes appear in theoretical computer science, coding theory, genetics, and even the political and social sciences.
Author: Alexandru T. Balaban Publisher: Springer Science & Business Media ISBN: 0306469073 Category : Science Languages : en Pages : 436
Book Description
Even high-speed supercomputers cannot easily convert traditional two-dimensional databases from chemical topology into the three-dimensional ones demanded by today's chemists, particularly those working in drug design. This fascinating volume resolves this problem by positing mathematical and topological models which greatly expand the capabilities of chemical graph theory. The authors examine QSAR and molecular similarity studies, the relationship between the sequence of amino acids and the less familiar secondary and tertiary protein structures, and new topological methods.
Author: Richard Hammack Publisher: CRC Press ISBN: 1439813051 Category : Computers Languages : en Pages : 537
Book Description
This handbook examines the dichotomy between the structure of products and their subgraphs. It also features the design of efficient algorithms that recognize products and their subgraphs and explores the relationship between graph parameters of the product and factors. Extensively revised and expanded, this second edition presents full proofs of many important results as well as up-to-date research and conjectures. It illustrates applications of graph products in several areas and contains well over 300 exercises. Supplementary material is available on the book's website.
Author: Publisher: Srpska akademija nauka i umetnosti ISBN: Category : Languages : en Pages : 116
Book Description
YU ISSN 0561-7332 TABLE DES MATIERES 1. M. Budineevie: Oscillation of a second order neutral difference equation 1 2. W. C. Simi, P. C. B. Lam, I. Gutman: Wiener number of hexagonal bitra,peziums and trapeziums 9 3. S. Todoreevie: Ernbeddabiliiy of K x C into X 27 4. W. Junde, E. Pap, L. Ranglu, Q. \\Tenho: Swartz 's Orlicz-Peitis theorem for operators 37 5. Mileva Prvanovie: Locally decomposable Riemannian Mani fold endowed with SOPTC SE,Tili-symmetric F-co-nnection 15 6. D. Herceg: On a discrete analogue for, singularly perturbed BVP 57 7. Olga. Had2ie: Fixed point theorems in inetrizable H-spaces 75 8. H. C. Howard, V. Marie: Regularity and nonoscillation of solutions of second order linear differential equations 85 9. M. Marjanovie, I. Gutman: A distance-based graph invariant related to the Wiener and Szeged numbers 99 Ово дело је лиценцирано под условима лиценце Creative Commons - Attribution-Noncommercial-No Derivative Works 3.0 Serbia http://creativecommons.org/licenses/by-nc-nd/3.0/rs/deed.en
Author: Sven J. Cyvin Publisher: Springer Science & Business Media ISBN: 3642511104 Category : Science Languages : en Pages : 179
Book Description
The mathematical treatment of coronoid hydrocarbons is a continuation of the authors' previous book Kekulé Structures in Benzenoid Hydrocarbons (Lecture Notes in Chemistry, Vol. 46). The book addresses theoretical and mathematical chemists and graduate students. The treatment includes topological properties of coronoid systems, their enumeration and classification, the number of Kekulé structures and of aromatic sextets.
Author: Milan Randic Publisher: CRC Press ISBN: 1498711529 Category : Mathematics Languages : en Pages : 482
Book Description
Solved and Unsolved Problems of Structural Chemistry introduces new methods and approaches for solving problems related to molecular structure. It includes numerous subjects such as aromaticity-one of the central themes of chemistry-and topics from bioinformatics such as graphical and numerical characterization of DNA, proteins, and proteomes. It a
Author: Ivan Gutman
Author: Ivan Gutman
Author: Sven J. Cyvin
Author: Siemion Fajtlowicz
Author: Sergei Ovchinnikov
Author: Alexandru T. Balaban
Author: Richard Hammack
Author: Linqiang Pan
Author: 
Author: Sven J. Cyvin
Author: Milan Randic