Algebraic Combinatorics And Applications
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Algebraic Combinatorics and Applications
Author | : Anton Betten,Axel Kohnert,Reinhard Laue,Alfred Wassermann |
Publsiher | : Springer Science & Business Media |
Total Pages | : 358 |
Release | : 2013-11-09 |
Genre | : Mathematics |
ISBN | : 9783642594489 |
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Proceedings of a high-level conference on discrete mathematics, focusing on group actions in the areas of pure mathematics, applied mathematics, computer science, physics, and chemistry. A useful tool for researchers and graduate students in discrete mathematics and theoretical computer science.
Algebraic Combinatorics
Author | : Eiichi Bannai,Etsuko Bannai,Tatsuro Ito,Rie Tanaka |
Publsiher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 303 |
Release | : 2021-02-22 |
Genre | : Mathematics |
ISBN | : 9783110627732 |
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This series is devoted to the publication of high-level monographs which cover the whole spectrum of current discrete mathematics and its applications in various fields. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of discrete mathematics. Contributions which are on the borderline of discrete mathematics and related fields and which stimulate further research at the crossroads of these areas are particularly welcome.
Algebraic Combinatorics
Author | : Richard P. Stanley |
Publsiher | : Springer Science & Business Media |
Total Pages | : 226 |
Release | : 2013-06-17 |
Genre | : Mathematics |
ISBN | : 9781461469988 |
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Written by one of the foremost experts in the field, Algebraic Combinatorics is a unique undergraduate textbook that will prepare the next generation of pure and applied mathematicians. The combination of the author’s extensive knowledge of combinatorics and classical and practical tools from algebra will inspire motivated students to delve deeply into the fascinating interplay between algebra and combinatorics. Readers will be able to apply their newfound knowledge to mathematical, engineering, and business models. The text is primarily intended for use in a one-semester advanced undergraduate course in algebraic combinatorics, enumerative combinatorics, or graph theory. Prerequisites include a basic knowledge of linear algebra over a field, existence of finite fields, and group theory. The topics in each chapter build on one another and include extensive problem sets as well as hints to selected exercises. Key topics include walks on graphs, cubes and the Radon transform, the Matrix–Tree Theorem, and the Sperner property. There are also three appendices on purely enumerative aspects of combinatorics related to the chapter material: the RSK algorithm, plane partitions, and the enumeration of labeled trees. Richard Stanley is currently professor of Applied Mathematics at the Massachusetts Institute of Technology. Stanley has received several awards including the George Polya Prize in applied combinatorics, the Guggenheim Fellowship, and the Leroy P. Steele Prize for mathematical exposition. Also by the author: Combinatorics and Commutative Algebra, Second Edition, © Birkhauser.
Algebraic Combinatorics
Author | : Eiichi Bannai,Etsuko Bannai,Tatsuro Ito,Rie Tanaka |
Publsiher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 444 |
Release | : 2021-02-22 |
Genre | : Mathematics |
ISBN | : 9783110630251 |
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Algebraic combinatorics is the study of combinatorial objects as an extension of the study of finite permutation groups, or, in other words, group theory without groups. In the spirit of Delsarte's theory, this book studies combinatorial objects such as graphs, codes, designs, etc. in the general framework of association schemes, providing a comprehensive overview of the theory as well as pointing out to extensions.
Applied Combinatorics on Words
Author | : M. Lothaire |
Publsiher | : Cambridge University Press |
Total Pages | : 646 |
Release | : 2005-07-11 |
Genre | : Computers |
ISBN | : 0521848024 |
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Publisher Description
Algebraic Combinatorics on Words
Author | : M. Lothaire |
Publsiher | : Cambridge University Press |
Total Pages | : 536 |
Release | : 2002-04-18 |
Genre | : Mathematics |
ISBN | : 0521812208 |
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Comprehensive 2002 introduction to combinatorics on words for mathematicians and theoretical computer scientists.
Algebraic Combinatorics
Author | : Chris Godsil |
Publsiher | : Routledge |
Total Pages | : 329 |
Release | : 2017-10-19 |
Genre | : Mathematics |
ISBN | : 9781351467506 |
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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.
Recent Trends in Algebraic Combinatorics
Author | : Hélène Barcelo,Gizem Karaali,Rosa Orellana |
Publsiher | : Springer |
Total Pages | : 362 |
Release | : 2019-01-21 |
Genre | : Mathematics |
ISBN | : 9783030051419 |
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This edited volume features a curated selection of research in algebraic combinatorics that explores the boundaries of current knowledge in the field. Focusing on topics experiencing broad interest and rapid growth, invited contributors offer survey articles on representation theory, symmetric functions, invariant theory, and the combinatorics of Young tableaux. The volume also addresses subjects at the intersection of algebra, combinatorics, and geometry, including the study of polytopes, lattice points, hyperplane arrangements, crystal graphs, and Grassmannians. All surveys are written at an introductory level that emphasizes recent developments and open problems. An interactive tutorial on Schubert Calculus emphasizes the geometric and topological aspects of the topic and is suitable for combinatorialists as well as geometrically minded researchers seeking to gain familiarity with relevant combinatorial tools. Featured authors include prominent women in the field known for their exceptional writing of deep mathematics in an accessible manner. Each article in this volume was reviewed independently by two referees. The volume is suitable for graduate students and researchers interested in algebraic combinatorics.