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Handbook of Combinatorics

Handbook of Combinatorics
Author: R.L. Graham
Publisher: Elsevier
Total Pages: 1283
Release: 1995-12-11
Genre: Business & Economics
ISBN: 044488002X

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Handbook of Enumerative Combinatorics

Handbook of Enumerative Combinatorics
Author: Miklos Bona
Publisher: CRC Press
Total Pages: 1073
Release: 2015-03-24
Genre: Mathematics
ISBN: 1482220865

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Presenting the state of the art, the Handbook of Enumerative Combinatorics brings together the work of today's most prominent researchers. The contributors survey the methods of combinatorial enumeration along with the most frequent applications of these methods.This important new work is edited by Miklos Bona of the University of Florida where he


Handbook of Combinatorial Optimization

Handbook of Combinatorial Optimization
Author: Ding-Zhu Du
Publisher: Springer Science & Business Media
Total Pages: 395
Release: 2006-08-18
Genre: Business & Economics
ISBN: 0387238301

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This is a supplementary volume to the major three-volume Handbook of Combinatorial Optimization set. It can also be regarded as a stand-alone volume presenting chapters dealing with various aspects of the subject in a self-contained way.


Handbook of Combinatorial Designs

Handbook of Combinatorial Designs
Author: C. J. Colbourn
Publisher: Chapman and Hall/CRC
Total Pages: 1016
Release: 2006-11-02
Genre: Mathematics
ISBN: 9781584885061

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Continuing in the bestselling, informative tradition of the first edition, the Handbook of Combinatorial Designs, Second Edition remains the only resource to contain all of the most important results and tables in the field of combinatorial design. This handbook covers the constructions, properties, and applications of designs as well as existence results. Over 30% longer than the first edition, the book builds upon the groundwork of its predecessor while retaining the original contributors' expertise. The first part contains a brief introduction and history of the subject. The following parts focus on four main classes of combinatorial designs: balanced incomplete block designs, orthogonal arrays and Latin squares, pairwise balanced designs, and Hadamard and orthogonal designs. Closely connected to the preceding sections, the next part surveys 65 additional classes of designs, such as balanced ternary, factorial, graphical, Howell, quasi-symmetric, and spherical. The final part presents mathematical and computational background related to design theory. New to the Second Edition An introductory part that provides a general overview and a historical perspective of the area New chapters on the history of design theory, various codes, bent functions, and numerous types of designs Fully updated tables, including BIBDs, MOLS, PBDs, and Hadamard matrices Nearly 2,200 references in a single bibliographic section Meeting the need for up-to-date and accessible tabular and reference information, this handbook provides the tools to understand combinatorial design theory and applications that span the entire discipline. The author maintains a website with more information.


Handbook of Discrete and Combinatorial Mathematics

Handbook of Discrete and Combinatorial Mathematics
Author: Kenneth H. Rosen
Publisher: CRC Press
Total Pages: 1611
Release: 2017-10-19
Genre: Mathematics
ISBN: 135164405X

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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.


Handbook of Graph Theory, Combinatorial Optimization, and Algorithms

Handbook of Graph Theory, Combinatorial Optimization, and Algorithms
Author: Krishnaiyan "KT" Thulasiraman
Publisher: CRC Press
Total Pages: 1217
Release: 2016-01-05
Genre: Computers
ISBN: 1420011073

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The fusion between graph theory and combinatorial optimization has led to theoretically profound and practically useful algorithms, yet there is no book that currently covers both areas together. Handbook of Graph Theory, Combinatorial Optimization, and Algorithms is the first to present a unified, comprehensive treatment of both graph theory and c


Combinatorics: The Art of Counting

Combinatorics: The Art of Counting
Author: Bruce E. Sagan
Publisher: American Mathematical Soc.
Total Pages: 304
Release: 2020-10-16
Genre: Education
ISBN: 1470460327

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This book is a gentle introduction to the enumerative part of combinatorics suitable for study at the advanced undergraduate or beginning graduate level. In addition to covering all the standard techniques for counting combinatorial objects, the text contains material from the research literature which has never before appeared in print, such as the use of quotient posets to study the Möbius function and characteristic polynomial of a partially ordered set, or the connection between quasisymmetric functions and pattern avoidance. The book assumes minimal background, and a first course in abstract algebra should suffice. The exposition is very reader friendly: keeping a moderate pace, using lots of examples, emphasizing recurring themes, and frankly expressing the delight the author takes in mathematics in general and combinatorics in particular.


How to Count

How to Count
Author: R.B.J.T. Allenby
Publisher: CRC Press
Total Pages: 440
Release: 2011-07-01
Genre: Mathematics
ISBN: 1420082612

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Emphasizes a Problem Solving Approach A first course in combinatorics Completely revised, How to Count: An Introduction to Combinatorics, Second Edition shows how to solve numerous classic and other interesting combinatorial problems. The authors take an easily accessible approach that introduces problems before leading into the theory involved. Although the authors present most of the topics through concrete problems, they also emphasize the importance of proofs in mathematics. New to the Second Edition This second edition incorporates 50 percent more material. It includes seven new chapters that cover occupancy problems, Stirling and Catalan numbers, graph theory, trees, Dirichlet’s pigeonhole principle, Ramsey theory, and rook polynomials. This edition also contains more than 450 exercises. Ideal for both classroom teaching and self-study, this text requires only a modest amount of mathematical background. In an engaging way, it covers many combinatorial tools, such as the inclusion-exclusion principle, generating functions, recurrence relations, and Pólya’s counting theorem.


Combinatorics of Finite Sets

Combinatorics of Finite Sets
Author: Ian Anderson
Publisher: Courier Corporation
Total Pages: 276
Release: 2002-01-01
Genre: Mathematics
ISBN: 9780486422572

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Among other subjects explored are the Clements-Lindström extension of the Kruskal-Katona theorem to multisets and the Greene-Kleitmen result concerning k-saturated chain partitions of general partially ordered sets. Includes exercises and solutions.


Introduction to Combinatorics

Introduction to Combinatorics
Author: A. B. Slomson
Publisher: CRC Press
Total Pages: 290
Release: 1997-02-01
Genre: Mathematics
ISBN: 9780412353703

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The growth in digital devices, which require discrete formulation of problems, has revitalized the role of combinatorics, making it indispensable to computer science. Furthermore, the challenges of new technologies have led to its use in industrial processes, communications systems, electrical networks, organic chemical identification, coding theory, economics, and more. With a unique approach, Introduction to Combinatorics builds a foundation for problem-solving in any of these fields. Although combinatorics deals with finite collections of discrete objects, and as such differs from continuous mathematics, the two areas do interact. The author, therefore, does not hesitate to use methods drawn from continuous mathematics, and in fact shows readers the relevance of abstract, pure mathematics to real-world problems. The author has structured his chapters around concrete problems, and as he illustrates the solutions, the underlying theory emerges. His focus is on counting problems, beginning with the very straightforward and ending with the complicated problem of counting the number of different graphs with a given number of vertices. Its clear, accessible style and detailed solutions to many of the exercises, from routine to challenging, provided at the end of the book make Introduction to Combinatorics ideal for self-study as well as for structured coursework.