Applications of Graphs in Chemistry and Physics

Applications of Graphs in Chemistry and Physics

Author: John W. Kennedy

Publisher: North Holland

Published: 1988

Total Pages: 434

ISBN-13:

DOWNLOAD EBOOK

It has been said that modern molecular theory is founded on essentially graph-like models located in some appropriate embedding space. The idea may be extended to physical theory, and it is this that provides the raison d'etre for this collection of papers. Today there is almost no branch of chemistry, including its more recent relatives in polymer science and biology, that is not enriched by (or enriching) the mathematical theory of graphs. The impact of graph-theoretical thinking in physics has, with some notable exceptions, developed more slowly. In 1847, G.R. Kirchoff founded the theory of electrical networks as a graph-theoretical structure, and as a result also made significant contributions to the mathematics of graph theory. This tradition has continued into the newer sciences such as telecommunications, computer science and information science.


Book Synopsis Applications of Graphs in Chemistry and Physics by : John W. Kennedy

Download or read book Applications of Graphs in Chemistry and Physics written by John W. Kennedy and published by North Holland. This book was released on 1988 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: It has been said that modern molecular theory is founded on essentially graph-like models located in some appropriate embedding space. The idea may be extended to physical theory, and it is this that provides the raison d'etre for this collection of papers. Today there is almost no branch of chemistry, including its more recent relatives in polymer science and biology, that is not enriched by (or enriching) the mathematical theory of graphs. The impact of graph-theoretical thinking in physics has, with some notable exceptions, developed more slowly. In 1847, G.R. Kirchoff founded the theory of electrical networks as a graph-theoretical structure, and as a result also made significant contributions to the mathematics of graph theory. This tradition has continued into the newer sciences such as telecommunications, computer science and information science.

Chemical Applications of Graph Theory

Chemical Applications of Graph Theory

Author: A. T. Balaban

Publisher:

Published: 1976

Total Pages: 0

ISBN-13:

DOWNLOAD EBOOK


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 and published by . This book was released on 1976 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Chemical Graph Theory

Chemical Graph Theory

Author: D Bonchev

Publisher: Routledge

Published: 2018-05-11

Total Pages: 310

ISBN-13: 1351461591

DOWNLOAD EBOOK

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.


Book Synopsis Chemical Graph Theory by : D Bonchev

Download or read book Chemical Graph Theory written by D Bonchev and published by Routledge. This book was released on 2018-05-11 with total page 310 pages. 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.

Chemical Graph Theory

Chemical Graph Theory

Author: Nenad Trinajstic

Publisher: CRC Press

Published: 2018-05-11

Total Pages: 343

ISBN-13: 1351461575

DOWNLOAD EBOOK

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.


Book Synopsis Chemical Graph Theory by : Nenad Trinajstic

Download or read book Chemical Graph Theory written by Nenad Trinajstic and published by CRC Press. This book was released on 2018-05-11 with total page 343 pages. 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.

New Frontiers in Nanochemistry: Concepts, Theories, and Trends

New Frontiers in Nanochemistry: Concepts, Theories, and Trends

Author: Mihai V. Putz

Publisher: CRC Press

Published: 2020-05-06

Total Pages: 401

ISBN-13: 0429663153

DOWNLOAD EBOOK

New Frontiers in Nanochemistry: Concepts, Theories, and Trends, Volume 2: Topological Nanochemistry is the second of the new three-volume set that explains and explores the important basic and advanced modern concepts in multidisciplinary chemistry. Under the broad expertise of the editor, this second volume explores the rich research areas of nanochemistry with a specific focus on the design and control of nanotechnology by structural and reactive topology. The objective of this particular volume is to emphasize the application of nanochemistry. With 46 entries from eminent international scientists and scholars, the content in this volume spans concepts from A-to-Z—from entries on the atom-bond connectivity index to the Zagreb indices, from connectivity to vapor phase epitaxy, and from fullerenes to topological reactivity—and much more. The definitions within the text are accompanied by brief but comprehensive explicative essays as well as figures, tables, etc., providing a holistic understanding of the concepts presented.


Book Synopsis New Frontiers in Nanochemistry: Concepts, Theories, and Trends by : Mihai V. Putz

Download or read book New Frontiers in Nanochemistry: Concepts, Theories, and Trends written by Mihai V. Putz and published by CRC Press. This book was released on 2020-05-06 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: New Frontiers in Nanochemistry: Concepts, Theories, and Trends, Volume 2: Topological Nanochemistry is the second of the new three-volume set that explains and explores the important basic and advanced modern concepts in multidisciplinary chemistry. Under the broad expertise of the editor, this second volume explores the rich research areas of nanochemistry with a specific focus on the design and control of nanotechnology by structural and reactive topology. The objective of this particular volume is to emphasize the application of nanochemistry. With 46 entries from eminent international scientists and scholars, the content in this volume spans concepts from A-to-Z—from entries on the atom-bond connectivity index to the Zagreb indices, from connectivity to vapor phase epitaxy, and from fullerenes to topological reactivity—and much more. The definitions within the text are accompanied by brief but comprehensive explicative essays as well as figures, tables, etc., providing a holistic understanding of the concepts presented.

Quo Vadis, Graph Theory?

Quo Vadis, Graph Theory?

Author: J. Gimbel

Publisher: Elsevier

Published: 1993-03-17

Total Pages: 396

ISBN-13: 9780080867953

DOWNLOAD EBOOK

Graph Theory (as a recognized discipline) is a relative newcomer to Mathematics. The first formal paper is found in the work of Leonhard Euler in 1736. In recent years the subject has grown so rapidly that in today's literature, graph theory papers abound with new mathematical developments and significant applications. As with any academic field, it is good to step back occasionally and ask Where is all this activity taking us?, What are the outstanding fundamental problems?, What are the next important steps to take?. In short, Quo Vadis, Graph Theory?. The contributors to this volume have together provided a comprehensive reference source for future directions and open questions in the field.


Book Synopsis Quo Vadis, Graph Theory? by : J. Gimbel

Download or read book Quo Vadis, Graph Theory? written by J. Gimbel and published by Elsevier. This book was released on 1993-03-17 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph Theory (as a recognized discipline) is a relative newcomer to Mathematics. The first formal paper is found in the work of Leonhard Euler in 1736. In recent years the subject has grown so rapidly that in today's literature, graph theory papers abound with new mathematical developments and significant applications. As with any academic field, it is good to step back occasionally and ask Where is all this activity taking us?, What are the outstanding fundamental problems?, What are the next important steps to take?. In short, Quo Vadis, Graph Theory?. The contributors to this volume have together provided a comprehensive reference source for future directions and open questions in the field.

New Frontiers in Nanochemistry: Concepts, Theories, and Trends, 3-Volume Set

New Frontiers in Nanochemistry: Concepts, Theories, and Trends, 3-Volume Set

Author: Mihai V. Putz

Publisher: CRC Press

Published: 2022-05-30

Total Pages: 1479

ISBN-13: 0429634099

DOWNLOAD EBOOK

New Frontiers in Nanochemistry: Concepts, Theories, and Trends, 3-Volume Set explains and explores the important fundamental and advanced modern concepts from various areas of nanochemistry and, more broadly, the nanosciences. This innovative and one-of-a kind set consists of three volumes that focus on structural nanochemistry, topological nanochemistry, and sustainable nanochemistry respectively, collectively forming an explicative handbook in nanochemistry. The compilation provides a rich resource that is both thorough and accessible, encompassing the core concepts of multiple areas of nanochemistry. It also explores the content through a trans-disciplinary lens, integrating the basic and advanced modern concepts in nanochemistry with various examples, applications, issues, tools, algorithms, and even historical notes on the important people from physical, quantum, theoretical, mathematical, and even biological chemistry.


Book Synopsis New Frontiers in Nanochemistry: Concepts, Theories, and Trends, 3-Volume Set by : Mihai V. Putz

Download or read book New Frontiers in Nanochemistry: Concepts, Theories, and Trends, 3-Volume Set written by Mihai V. Putz and published by CRC Press. This book was released on 2022-05-30 with total page 1479 pages. Available in PDF, EPUB and Kindle. Book excerpt: New Frontiers in Nanochemistry: Concepts, Theories, and Trends, 3-Volume Set explains and explores the important fundamental and advanced modern concepts from various areas of nanochemistry and, more broadly, the nanosciences. This innovative and one-of-a kind set consists of three volumes that focus on structural nanochemistry, topological nanochemistry, and sustainable nanochemistry respectively, collectively forming an explicative handbook in nanochemistry. The compilation provides a rich resource that is both thorough and accessible, encompassing the core concepts of multiple areas of nanochemistry. It also explores the content through a trans-disciplinary lens, integrating the basic and advanced modern concepts in nanochemistry with various examples, applications, issues, tools, algorithms, and even historical notes on the important people from physical, quantum, theoretical, mathematical, and even biological chemistry.

Chemical Topology

Chemical Topology

Author: D Bonchev

Publisher: CRC Press

Published: 1999-04-23

Total Pages: 354

ISBN-13: 9789056991746

DOWNLOAD EBOOK

Topology is becoming increasingly important in chemistry because of its rapidly growing number of applications. Here, its many uses are reviewed and the authors anticipate what future developments might bring. This work shows how significant new insights can be gained by representing molecular species as topological structures known as topographs. The text explores carbon structures, establishing how the stability of fullerene species can be accounted for and also predicting which fullerenes will be most stable. It is pointed out that molecular topology, rather than molecular geometry, characterizes molecular shape and various tools for shape characterization are described. Several of the fascinating ideas that arise from regarding topology as a unifying principle in chemical bonding theory are discussed, and in particular, the novel concept of the molecular topoid is shown to have numerous uses. The topological description of polymers is examined and the reader is gently guided through the realms of branched and tangled polymers. Overall, this work outlines the fact that topology is not only a theoretical discipline but also one that has practical applications and high relevance to the whole domain of chemistry.


Book Synopsis Chemical Topology by : D Bonchev

Download or read book Chemical Topology written by D Bonchev and published by CRC Press. This book was released on 1999-04-23 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology is becoming increasingly important in chemistry because of its rapidly growing number of applications. Here, its many uses are reviewed and the authors anticipate what future developments might bring. This work shows how significant new insights can be gained by representing molecular species as topological structures known as topographs. The text explores carbon structures, establishing how the stability of fullerene species can be accounted for and also predicting which fullerenes will be most stable. It is pointed out that molecular topology, rather than molecular geometry, characterizes molecular shape and various tools for shape characterization are described. Several of the fascinating ideas that arise from regarding topology as a unifying principle in chemical bonding theory are discussed, and in particular, the novel concept of the molecular topoid is shown to have numerous uses. The topological description of polymers is examined and the reader is gently guided through the realms of branched and tangled polymers. Overall, this work outlines the fact that topology is not only a theoretical discipline but also one that has practical applications and high relevance to the whole domain of chemistry.

Chemical Applications of Graph Theory

Chemical Applications of Graph Theory

Author: A. T. Balaban

Publisher:

Published: 1976

Total Pages: 412

ISBN-13:

DOWNLOAD EBOOK


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 and published by . This book was released on 1976 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Molecular Design

Molecular Design

Author: A.L. Horvath

Publisher: Elsevier

Published: 2012-12-02

Total Pages: 1505

ISBN-13: 0444596739

DOWNLOAD EBOOK

This book is a systematic presentation of the methods that have been developed for the interpretation of molecular modeling to the design of new chemicals. The main feature of the compilation is the co-ordination of the various scientific disciplines required for the generation of new compounds. The five chapters deal with such areas as structure and properties of organic compounds, relationships between structure and properties, and models for structure generation. The subject is covered in sufficient depth to provide readers with the necessary background to understand the modeling techniques. The book will be of value to chemists in industries involved in the manufacture of organic chemicals such as solvents refrigerants, blood substitutes, etc. It also serves as a reference work for researchers, academics, consultants, and students interested in molecular design.


Book Synopsis Molecular Design by : A.L. Horvath

Download or read book Molecular Design written by A.L. Horvath and published by Elsevier. This book was released on 2012-12-02 with total page 1505 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a systematic presentation of the methods that have been developed for the interpretation of molecular modeling to the design of new chemicals. The main feature of the compilation is the co-ordination of the various scientific disciplines required for the generation of new compounds. The five chapters deal with such areas as structure and properties of organic compounds, relationships between structure and properties, and models for structure generation. The subject is covered in sufficient depth to provide readers with the necessary background to understand the modeling techniques. The book will be of value to chemists in industries involved in the manufacture of organic chemicals such as solvents refrigerants, blood substitutes, etc. It also serves as a reference work for researchers, academics, consultants, and students interested in molecular design.