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Algebraic Combinatorics

Algebraic Combinatorics PDF Author: Eiichi Bannai
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110627736
Category : Mathematics
Languages : en
Pages : 303

Book Description
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

Algebraic Combinatorics PDF Author: Eiichi Bannai
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110627736
Category : Mathematics
Languages : en
Pages : 303

Book Description
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

Algebraic Combinatorics PDF Author: Richard P. Stanley
Publisher: Springer Science & Business Media
ISBN: 1461469988
Category : Mathematics
Languages : en
Pages : 226

Book Description
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 and Applications

Algebraic Combinatorics and Applications PDF Author: Anton Betten
Publisher: Springer Science & Business Media
ISBN: 3642594484
Category : Mathematics
Languages : en
Pages : 358

Book Description
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.

Discrete Geometry and Algebraic Combinatorics

Discrete Geometry and Algebraic Combinatorics PDF Author: Alexander Barg
Publisher: American Mathematical Society
ISBN: 1470409054
Category : Mathematics
Languages : en
Pages : 202

Book Description
This volume contains the proceedings of the AMS Special Session on Discrete Geometry and Algebraic Combinatorics held on January 11, 2013, in San Diego, California. The collection of articles in this volume is devoted to packings of metric spaces and related questions, and contains new results as well as surveys of some areas of discrete geometry. This volume consists of papers on combinatorics of transportation polytopes, including results on the diameter of graphs of such polytopes; the generalized Steiner problem and related topics of the minimal fillings theory; a survey of distance graphs and graphs of diameters, and a group of papers on applications of algebraic combinatorics to packings of metric spaces including sphere packings and topics in coding theory. In particular, this volume presents a new approach to duality in sphere packing based on the Poisson summation formula, applications of semidefinite programming to spherical codes and equiangular lines, new results in list decoding of a family of algebraic codes, and constructions of bent and semi-bent functions.

Journal of Algebraic Combinatorics

Journal of Algebraic Combinatorics PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :

Book Description


Combinatorial Algebraic Topology

Combinatorial Algebraic Topology PDF Author: Dimitry Kozlov
Publisher: Springer Science & Business Media
ISBN: 3540719628
Category : Mathematics
Languages : en
Pages : 392

Book Description
This volume is the first comprehensive treatment of combinatorial algebraic topology in book form. The first part of the book constitutes a swift walk through the main tools of algebraic topology. Readers - graduate students and working mathematicians alike - will probably find particularly useful the second part, which contains an in-depth discussion of the major research techniques of combinatorial algebraic topology. Although applications are sprinkled throughout the second part, they are principal focus of the third part, which is entirely devoted to developing the topological structure theory for graph homomorphisms.

Combinatorics and Commutative Algebra

Combinatorics and Commutative Algebra PDF Author: Richard P. Stanley
Publisher: Springer Science & Business Media
ISBN: 0817643699
Category : Mathematics
Languages : en
Pages : 173

Book Description
* Stanley represents a broad perspective with respect to two significant topics from Combinatorial Commutative Algebra: 1) The theory of invariants of a torus acting linearly on a polynomial ring, and 2) The face ring of a simplicial complex * In this new edition, the author further develops some interesting properties of face rings with application to combinatorics

Journal of Algebraic Combinatorics

Journal of Algebraic Combinatorics PDF Author:
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 290

Book Description


Combinatorial Commutative Algebra

Combinatorial Commutative Algebra PDF Author: Ezra Miller
Publisher: Springer Science & Business Media
ISBN: 9780387237077
Category : Mathematics
Languages : en
Pages : 442

Book Description
Recent developments are covered Contains over 100 figures and 250 exercises Includes complete proofs

Applied Combinatorics on Words

Applied Combinatorics on Words PDF Author: M. Lothaire
Publisher: Cambridge University Press
ISBN: 9780521848022
Category : Computers
Languages : en
Pages : 646

Book Description
Publisher Description