Introduction To Combinatorial Designs
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Introduction to Combinatorial Designs
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 o
Combinatorial Designs
Author: Douglas Stinson
language: en
Publisher: Springer Science & Business Media
Release Date: 2007-05-08
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 incomputer science, applied mathematics, combinatorics, and applied statistics will find the book an essential resource.
Combinatorial Designs and Tournaments
Author: Ian Anderson (Ph. D.)
language: en
Publisher: Oxford University Press
Release Date: 1997
This is an extensively revised version of the very successfulCombinatorial Designs: Construction Methods which was published in 1990 by Ellis Horwood and is now out of print. A new chapter on league schedules is now included, dealing with round robin tournaments, venue sequences, and carry over effects. Balanced tournament designs, double schedules, and bridge tournament designs are also covered, and there is some material on whist tournaments. The presentation is clear and reable. Throughout, the historical development of the material is emphasized. There are plenty of examples and exercises giving detailed constructions, and a copious bibliography is provided. The author is internationally respected as an expositor, and this book provides an excellent text and reference book for researchers.