Combinatorial Enumeration Of Groups Graphs And Chemical Compounds

Author : Georg Polya
Publisher : Springer Science & Business Media
ISBN 13 : 1461246644
Total Pages : 155 pages
Book Rating : 4.40/5 ( download)

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Download or read book Combinatorial Enumeration of Groups, Graphs, and Chemical Compounds written by Georg Polya and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1937 there appeared a paper that was to have a profound influence on the progress of combinatorial enumeration, both in its theoretical and applied aspects. Entitled Kombinatorische Anzahlbest immungen jUr Gruppen, Graphen und chemische Verbindungen, it was published in Acta Mathematica, Vol. 68, pp. 145 to 254. Its author, George Polya, was already a mathematician of considerable stature, well-known for outstanding work in many branches of mathematics, particularly analysis. The paper in Question was unusual in that it depended almost entirely on a single theorem -- the "Hauptsatz" of Section 4 -- a theorem which gave a method for solving a general type of enumera tion problem. On the face of it, this is not something that one would expect to run to over 100 pages. Yet the range of the applica tions of the theorem and of its ramifications was enormous, as Polya clearly showed. In the various sections of his paper he explored many applications to the enumeration of graphs, principally trees, and of chemical isomers, using his theorem to present a comprehen sive and unified treatment of problems which had previously been solved, if at all, only by ad hoc methods. In the final section he investigated the asymptotic properties of these enumerational results, bringing to bear his formidable insight as an analyst

Author : George Pólya
Publisher :
ISBN 13 : 9783540964131
Total Pages : 148 pages
Book Rating : 4.34/5 ( download)

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Download or read book Combinatorial Enumeration of Groups, Graphs, and Chemical Compounds written by George Pólya and published by . This book was released on 1987-01-01 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Tung-hsin Ku
Publisher : World Scientific
ISBN 13 : 9814552623
Total Pages : 289 pages
Book Rating : 4.22/5 ( download)

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Download or read book Combinatorics And Graph Theory - Proceedings Of The Spring School And International Conference On Combinatorics written by Tung-hsin Ku and published by World Scientific. This book was released on 1993-09-23 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains selected papers presented at the Spring School and International Conference on Combinatorics. Topics discussed include: Enumeration, Design, Graphs, Hypergraphs and Combinatorial Optimization, etc. Covering a broad range, this book should appeal to a wide spectrum of researchers in combinatorics and graph theory.

Author : Shinsaku Fujita
Publisher : Springer Science & Business Media
ISBN 13 : 364276696X
Total Pages : 358 pages
Book Rating : 4.61/5 ( download)

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Download or read book Symmetry and Combinatorial Enumeration in Chemistry written by Shinsaku Fujita and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written to introduce a new approach to stereochemical problems and to combinatorial enumerations in chemistry. This approach is based on group the ory, but different from conventional ways adopted by most textbooks on chemical group theory. The difference sterns from their starting points: conjugate subgroups and conjugacy classes. The conventional textbooks deal with linear representations and character ta bles of point groups. This fact implies that they lay stress on conjugacy classesj in fact, such group characters are determined for the respective conjugacy classes. This approach is versatile, since conjugacy classes can be easily obtained by ex amining every element of a group. It is unnecessary to know the group-subgroup relationship of the group, which is not always easy to obtain. The same situa tion is true for chemical enumerations, though these are founded on permutation groups. Thus, the P6lya-Redfield theorem (1935 and 1927) uses a cycle index that is composed of terms associated with conjugacy classes.

Author : R.L. Graham
Publisher : Elsevier
ISBN 13 : 044488002X
Total Pages : 1283 pages
Book Rating : 4.24/5 ( download)

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Download or read book Handbook of Combinatorics written by R.L. Graham and published by Elsevier. This book was released on 1995-12-11 with total page 1283 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Michel Rigo
Publisher : John Wiley & Sons
ISBN 13 : 1119058619
Total Pages : 290 pages
Book Rating : 4.18/5 ( download)

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Download or read book Advanced Graph Theory and Combinatorics written by Michel Rigo and published by John Wiley & Sons. This book was released on 2016-11-22 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Graph Theory focuses on some of the main notions arising in graph theory with an emphasis from the very start of the book on the possible applications of the theory and the fruitful links existing with linear algebra. The second part of the book covers basic material related to linear recurrence relations with application to counting and the asymptotic estimate of the rate of growth of a sequence satisfying a recurrence relation.

Author : Shinsaku Fujita
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110728230
Total Pages : 529 pages
Book Rating : 4.31/5 ( download)

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Download or read book Mathematical Stereochemistry written by Shinsaku Fujita and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-09-20 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chirality and stereogenicity are closely related concepts and their differentiation and description is still a challenge in chemoinformatics. In his 2015 book, Fujita developed a new stereoisogram approach that provided theoretical framework for mathematical aspects of modern stereochemistry. This new edition includes a new chapter on Computer-Oriented Representations developed by the author based on Groups, Algorithms, Programming (GAP) system.

Author : John Harris
Publisher : Springer Science & Business Media
ISBN 13 : 0387797106
Total Pages : 392 pages
Book Rating : 4.06/5 ( download)

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Download or read book Combinatorics and Graph Theory written by John Harris and published by Springer Science & Business Media. This book was released on 2008-09-19 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes were first used in an introductory course team taught by the authors at Appalachian State University to advanced undergraduates and beginning graduates. The text was written with four pedagogical goals in mind: offer a variety of topics in one course, get to the main themes and tools as efficiently as possible, show the relationships between the different topics, and include recent results to convince students that mathematics is a living discipline.

Author : Stanisław Zawiślak
Publisher : Springer Nature
ISBN 13 : 3030767876
Total Pages : 311 pages
Book Rating : 4.77/5 ( download)

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Download or read book Graph-Based Modelling in Science, Technology and Art written by Stanisław Zawiślak and published by Springer Nature. This book was released on 2021-08-01 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents interdisciplinary, cutting-edge and creative applications of graph theory and modeling in science, technology, architecture and art. Topics are divided into three parts: the first one examines mechanical problems related to gears, planetary gears and engineering installations; the second one explores graph-based methods applied to medical analyses as well as biological and chemical modeling; and the third part includes various topics e.g. drama analysis, aiding of design activities and network visualisation. The authors represent several countries in Europe and America, and their contributions show how different, useful and fruitful the utilization of graphs in modelling of engineering systems can be. The book has been designed to serve readers interested in the subject of graph modelling and those with expertise in related areas, as well as members of the worldwide community of graph modelers.

Author : Kenneth H. Rosen
Publisher : CRC Press
ISBN 13 : 1584887818
Total Pages : 1612 pages
Book Rating : 4.12/5 ( download)

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Download or read book Handbook of Discrete and Combinatorial Mathematics written by Kenneth H. Rosen and published by CRC Press. This book was released on 2017-10-19 with total page 1612 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Discrete and Combinatorial Mathematics provides a comprehensive reference volume for mathematicians, computer scientists, engineers, as well as students and reference librarians. The material is presented so that key information can be located and used quickly and easily. Each chapter includes a glossary. Individual topics are covered in sections and subsections within chapters, each of which is organized into clearly identifiable parts: definitions, facts, and examples. Examples are provided to illustrate some of the key definitions, facts, and algorithms. Some curious and entertaining facts and puzzles are also included. Readers will also find an extensive collection of biographies. This second edition is a major revision. It includes extensive additions and updates. Since the first edition appeared in 1999, many new discoveries have been made and new areas have grown in importance, which are covered in this edition.