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Combinatorial designs: constructions and analysis

By: Material type: TextTextPublication details: Springer-Verlag 2004 New YorkDescription: xvi, 300 p.: ill. Includes bibliographical references and indexISBN:
  • 9781493991082
Subject(s): DDC classification:
  • 511.6 S8C6
Summary: Created to teach students many of the most important techniques used for constructing combinatorial designs, this is an ideal textbook for advanced undergraduate and graduate courses in combinatorial design theory. The text features clear explanations of basic designs, such as Steiner and Kirkman triple systems, mutual orthogonal Latin squares, finite projective and affine planes, and Steiner quadruple systems. In these settings, the student will master various construction techniques, both classic and modern, and will be well-prepared to construct a vast array of combinatorial designs. Design theory offers a progressive approach to the subject, with carefully ordered results. It begins with simple constructions that gradually increase in complexity. Each design has a construction that contains new ideas or that reinforces and builds upon similar ideas previously introduced. A new text/reference covering all apsects of modern combinatorial design theory. Graduates and professionals in computer science, applied mathematics, combinatorics, and applied statistics will find the book an essential resource. https://www.springer.com/in/book/9780387954875
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Item type Current library Item location Collection Shelving location Call number Status Date due Barcode
Books Vikram Sarabhai Library Rack 28-A / Slot 1358 (0 Floor, East Wing) Non-fiction General Stacks 511.6 S8C6 (Browse shelf(Opens below)) Available 203598

Table of contents

1. Introduction to Balanced Incomplete Block Designs
2. Symmetric BIBDs
3. Difference Sets and Automorphisms
4. Hadamard Matrices and Designs
5. Resolvable BIBDs
6. Latin Squares
7. Pairwise Balanced Designs I
8. Pairwise Balanced Designs II
9. t-Designs and t-wise Balanced Designs
10. Orthogonal Arrays and Codes
11. Applications of Combinatorial Designs
A. Small Symmetric BIBDs and Abelian Difference Sets
B. Finite Fields

Created to teach students many of the most important techniques used for constructing combinatorial designs, this is an ideal textbook for advanced undergraduate and graduate courses in combinatorial design theory. The text features clear explanations of basic designs, such as Steiner and Kirkman triple systems, mutual orthogonal Latin squares, finite projective and affine planes, and Steiner quadruple systems. In these settings, the student will master various construction techniques, both classic and modern, and will be well-prepared to construct a vast array of combinatorial designs. Design theory offers a progressive approach to the subject, with carefully ordered results. It begins with simple constructions that gradually increase in complexity. Each design has a construction that contains new ideas or that reinforces and builds upon similar ideas previously introduced. A new text/reference covering all apsects of modern combinatorial design theory. Graduates and professionals in computer science, applied mathematics, combinatorics, and applied statistics will find the book an essential resource.

https://www.springer.com/in/book/9780387954875

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