Author: J. W. P. Hirschfeld
Publisher: Cambridge University Press
ISBN: 052159538X
Category : Mathematics
Languages : en
Pages : 269

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Book Description
This volume examines state of the art research in finite geometries and designs.

Author: James William Peter Hirschfeld
Publisher:
ISBN: 9781107362574
Category : MATHEMATICS
Languages : en
Pages : 267

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Book Description
This volume examines state of the art research in finite geometries and designs.

Author: C.J. Colbourn
Publisher: Elsevier
ISBN: 9780080872605
Category : Mathematics
Languages : en
Pages : 469

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Book Description
Combinatorial design theory is a vibrant area of combinatorics, connecting graph theory, number theory, geometry, and algebra with applications in experimental design, coding theory, and numerous applications in computer science. This volume is a collection of forty-one state-of-the-art research articles spanning all of combinatorial design theory. The articles develop new methods for the construction and analysis of designs and related combinatorial configurations; both new theoretical methods, and new computational tools and results, are presented. In particular, they extend the current state of knowledge on Steiner systems, Latin squares, one-factorizations, block designs, graph designs, packings and coverings, and develop recursive and direct constructions. The contributions form an overview of the current diversity of themes in design theory for those peripherally interested, while researchers in the field will find it to be a major collection of research advances. The volume is dedicated to Alex Rosa, who has played a major role in fostering and developing combinatorial design theory.

Author: A. Barlotti
Publisher: Elsevier
ISBN: 0080871747
Category : Mathematics
Languages : en
Pages : 303

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Book Description
Combinatorial and Geometric Structures and Their Applications

Author: W.D. Wallis
Publisher: CRC Press
ISBN: 1584888393
Category : Mathematics
Languages : en
Pages : 328

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Book Description
Combinatorial theory is one of the fastest growing areas of modern mathematics. Focusing on a major part of this subject, Introduction to Combinatorial Designs, Second Edition provides a solid foundation in the classical areas of design theory as well as in more contemporary designs based on applications in a variety of fields. After an overview of basic concepts, the text introduces balanced designs and finite geometries. The author then delves into balanced incomplete block designs, covering difference methods, residual and derived designs, and resolvability. Following a chapter on the existence theorem of Bruck, Ryser, and Chowla, the book discusses Latin squares, one-factorizations, triple systems, Hadamard matrices, and Room squares. It concludes with a number of statistical applications of designs. Reflecting recent results in design theory and outlining several applications, this new edition of a standard text presents a comprehensive look at the combinatorial theory of experimental design. Suitable for a one-semester course or for self-study, it will prepare readers for further exploration in the field. To access supplemental materials for this volume, visit the author’s website at http://www.math.siu.edu/Wallis/designs

Author: Earl Sidney Kramer
Publisher: American Mathematical Soc.
ISBN: 0821851187
Category : Mathematics
Languages : en
Pages : 312

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Book Description
More than eighty participants from all over the world attended an AMS Special Session on Finite Geometries and Combinatorial Designs held in Lincoln, Nebraska, in the fall of 1987. This volume contains the proceedings of that Special Session, in addition to several invited papers. Employing state-of-the-art combinatorial and geometric methods, the papers show significant advances in this area. Topics range over finite geometry, combinatorial designs, their automorphism groups, and related structures. Requiring graduate-level background, this book is intended primarily for researchers in finite geometries and combinatorial designs. However, the interested nonspecialist will find that the book provides an excellent overview of current activity in these areas.

Author: W.D. Wallis
Publisher: CRC Press
ISBN: 9780824779429
Category : Mathematics
Languages : en
Pages : 348

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Book Description

Author: Mariana Montiel
Publisher: World Scientific Publishing
ISBN: 9813235322
Category : Technology & Engineering
Languages : en
Pages : 372

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Book Description
Questions about variation, similarity, enumeration, and classification of musical structures have long intrigued both musicians and mathematicians. Mathematical models can be found from theoretical analysis to actual composition or sound production. Increasingly in the last few decades, musical scholarship has incorporated modern mathematical content. One example is the application of methods from Algebraic Combinatorics, or Topology and Graph Theory, to the classification of different musical objects. However, these applications of mathematics in the understanding of music have also led to interesting open problems in mathematics itself. The reach and depth of the contributions on mathematical music theory presented in this volume is significant. Each contribution is in a section within these subjects: (i) Algebraic and Combinatorial Approaches; (ii) Geometric, Topological, and Graph-Theoretical Approaches; and (iii) Distance and Similarity Measures in Music. remove

Author: Charles J. Colbourn
Publisher: CRC Press
ISBN: 1420010549
Category : Computers
Languages : en
Pages : 1011

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Book Description
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

Author: Bridget S. Webb
Publisher: Cambridge University Press
ISBN: 9780521615235
Category : Mathematics
Languages : en
Pages : 270

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Book Description
This volume provides an up-to-date overview of current research across combinatorics,.