Algebraic Combinatorics by Chris Godsil (English) Hardcover Book

Description: Algebraic Combinatorics by Chris Godsil This graduate level text is distinguished both by the range of topics and the novelty of the material it treats--more than half of the material in it has previously only appeared in research papers FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description This graduate level text is distinguished both by the range of topics and the novelty of the material it treats--more than half of the material in it has previously only appeared in research papers. The first half of this book introduces the characteristic and matchings polynomials of a graph. It is instructive to consider these polynomials together because they have a number of properties in common. The matchings polynomial has links with a number of problems in combinatorial enumeration, particularly some of the current work on the combinatorics of orthogonal polynomials. This connection is discussed at some length, and is also in part the stimulus for the inclusion of chapters on orthogonal polynomials and formal power series. Many of the properties of orthogonal polynomials are derived from properties of characteristic polynomials. The second half of the book introduces the theory of polynomial spaces, which provide easy access to a number of important results in design theory, coding theory and the theory of association schemes. This book should be of interest to second year graduate text/reference in mathematics. Author Biography Godsil, Chris Table of Contents Preface, Contents, 1. The Matchings Polynomial, 2. The Characteristic Polynomial, 3. Formal Power Series and Generating Functions, 4. Walk Generating Functions, 5. Quotients of Graphs, 6. Matchings and Walks, 7. Pfaffians, 8. Orthogonal Polynomials, 9. Moment Sequences, 10. Strongly Regular Graphs, 11. Distance-Regular Graphs, 12. Association Schemes, 13. Representations of Distance-Regular Graphs, 14. Polynomial Spaces, 15. Q- Polynomial Spaces, 16. Tight Designs, Appendix: Terminology, Index of Symbols, Index Review "The topics have been thoughtfully chosen and masterfully integrated into the text. The result is a delightfully entertaining and informative excursion into the field...this text provides the most comprehensive treatment I have encountered...this book is likely to become a permanent fixture in the study..." - Mathematical Reviews Details ISBN0412041316 Audience Age 18 Year 1993 ISBN-10 0412041316 ISBN-13 9780412041310 Format Hardcover Publication Date 1993-04-01 Edition 1st Author Chris Godsil Series Chapman Hall/CRC Mathematics Series Publisher Taylor & Francis Ltd Imprint CRC Press Place of Publication London Country of Publication United Kingdom DEWEY 511 Affiliation University of Waterloo, Faculty of Mathematics, Canada Language English Media Book DOI 10.1604/9780412041310 Series Number 6 UK Release Date 1993-04-01 AU Release Date 1993-04-01 NZ Release Date 1993-04-01 Pages 386 Alternative 9780367834456 Audience Undergraduate We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:134408348;

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