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Chemical Graph Theory

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Release : 2018-05-11
Genre : Science
Kind : eBook
Book Rating : 575/5 ( reviews)

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Book Synopsis Chemical Graph Theory by : Nenad Trinajstic

Download or read book Chemical Graph Theory written by Nenad Trinajstic. This book was released on 2018-05-11. Available in PDF, EPUB and Kindle. Book excerpt: New Edition! Completely Revised and Updated Chemical Graph Theory, 2nd Edition is a completely revised and updated edition of a highly regarded book that has been widely used since its publication in 1983. This unique book offers a basic introduction to the handling of molecular graphs - mathematical diagrams representing molecular structures. Using mathematics well within the vocabulary of most chemists, this volume elucidates the structural aspects of chemical graph theory: (1) the relationship between chemical and graph-theoretical terminology, elements of graph theory, and graph-theoretical matrices; (2) the topological aspects of the Hückel theory, resonance theory, and theories of aromaticity; and (3) the applications of chemical graph theory to structure-property and structure-activity relationships and to isomer enumeration. An extensive bibliography covering the most relevant advances in theory and applications is one of the book's most valuable features. This volume is intended to introduce the entire chemistry community to the applications of graph theory and will be of particular interest to theoretical organic and inorganic chemists, physical scientists, computational chemists, and those already involved in mathematical chemistry.

Chemical Graph Theory

Download Chemical Graph Theory PDF Online Free

Author :
Release : 2018-05-11
Genre : Science
Kind : eBook
Book Rating : 591/5 ( reviews)

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Book Synopsis Chemical Graph Theory by : D Bonchev

Download or read book Chemical Graph Theory written by D Bonchev. This book was released on 2018-05-11. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the fundamentals of graph theory and then goes on to discuss specific chemical applications. Chapter 1 provides a historical setting for the current upsurge of interest in chemical graph theory. Chapter 2 gives a full background of the basic ideas and mathematical formalism of graph theory and includes such chemically relevant notions as connectedness, graph matrix representations, metric properties, symmetry and operations on graphs. This is followed by a discussion on chemical nomenclature and the trends in its rationalization by using graph theory, which has important implications for the storage and retrieval of chemical information. This volume also contains a detailed discussion of the relevance of graph-theoretical polynomials; it describes methodologies for the enumeration of isomers, incorporating the classical Polya method, as well as more recent approaches.

Molecular Orbital Calculations Using Chemical Graph Theory

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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 941/5 ( reviews)

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Book Synopsis Molecular Orbital Calculations Using Chemical Graph Theory by : Jerry R. Dias

Download or read book Molecular Orbital Calculations Using Chemical Graph Theory written by Jerry R. Dias. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Professor John D. Roberts published a highly readable book on Molecular Orbital Calculations directed toward chemists in 1962. That timely book is the model for this book. The audience this book is directed toward are senior undergraduate and beginning graduate students as well as practicing bench chemists who have a desire to develop conceptual tools for understanding chemical phenomena. Although, ab initio and more advanced semi-empirical MO methods are regarded as being more reliable than HMO in an absolute sense, there is good evidence that HMO provides reliable relative answers particularly when comparing related molecular species. Thus, HMO can be used to rationalize electronic structure in 1t-systems, aromaticity, and the shape use HMO to gain insight of simple molecular orbitals. Experimentalists still into subtle electronic interactions for interpretation of UV and photoelectron spectra. Herein, it will be shown that one can use graph theory to streamline their HMO computational efforts and to arrive at answers quickly without the aid of a group theory or a computer program of which the experimentalist has no understanding. The merging of mathematical graph theory with chemical theory is the formalization of what most chemists do in a more or less intuitive mode. Chemists currently use graphical images to embody chemical information in compact form which can be transformed into algebraical sets. Chemical graph theory provides simple descriptive interpretations of complicated quantum mechanical calculations and is, thereby, in-itself-by-itself an important discipline of study.

Chemical Applications of Graph Theory

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Release : 1976
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Chemical Applications of Graph Theory by : A. T. Balaban

Download or read book Chemical Applications of Graph Theory written by A. T. Balaban. This book was released on 1976. Available in PDF, EPUB and Kindle. Book excerpt:

Graph Theoretical Approaches to Chemical Reactivity

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Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 029/5 ( reviews)

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Book Synopsis Graph Theoretical Approaches to Chemical Reactivity by : Danail D. Bonchev

Download or read book Graph Theoretical Approaches to Chemical Reactivity written by Danail D. Bonchev. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: The progress in computer technology during the last 10-15 years has enabled the performance of ever more precise quantum mechanical calculations related to structure and interactions of chemical compounds. However, the qualitative models relating electronic structure to molecular geometry have not progressed at the same pace. There is a continuing need in chemistry for simple concepts and qualitatively clear pictures that are also quantitatively comparable to ab initio quantum chemical calculations. Topological methods and, more specifically, graph theory as a fixed-point topology, provide in principle a chance to fill this gap. With its more than 100 years of applications to chemistry, graph theory has proven to be of vital importance as the most natural language of chemistry. The explosive development of chemical graph theory during the last 20 years has increasingly overlapped with quantum chemistry. Besides contributing to the solution of various problems in theoretical chemistry, this development indicates that topology is an underlying principle that explains the success of quantum mechanics and goes beyond it, thus promising to bear more fruit in the future.

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