Latin Squares: New Developments in the Theory and Applications

ISBN-13: 9780444888990 / Angielski / Twarda / 1991 / 452 str.

J. Denes; A. D. Keedwell; Arjen Sevenster

Opis

In 1974 the editors of the present volume published a well-received book entitled Latin Squares and their Applications''. It included a list of 73 unsolved problems of which about 20 have been completely solved in the intervening period and about 10 more have been partially solved.

The present work comprises six contributed chapters and also six further chapters written by the editors themselves. As well as discussing the advances which have been made in the subject matter of most of the chapters of the earlier book, this new book contains one chapter which deals with a subject (r-orthogonal latin squares) which did not exist when the earlier book was written.

The success of the former book is shown by the two or three hundred published papers which deal with questions raised by it.

Recenzje

from:R.G. Stanton
"...a gold mine of information on all aspects of Latin squares..." --Short Book Reviews

Spis treści

Foreword (P. Erdös). Introduction (J. Dénes, A.D. Keedwell). Transversals and Complete Mappings (J. Dénes, A.D. Keedwell). Sequenceable and R-Sequenceable Groups: Row Complete Latin Squares (J. Dénes, A.D. Keedwell). Latin Squares With and Without Subsquares of Prescribed Type (K. Heinrich). Recursive Constructions of Mutually Orthogonal Latin Squares (A.E. Brouwer). r-Orthogonal Latin Squares (G.B. Belyavskaya). Latin Squares and Universal Algebra (T. Evans). Embedding Theorems for Partial Latin Squares (C.C. Lindner).
Latin Squares and Codes (J. Dénes, A.D. Keedwell). Latin Squares as Experimental Designs (D.A. Preece). Latin Squares and Geometry (J. Dénes, A.D. Keedwell). Frequency Squares (J. Dénes, A.D. Keedwell). Bibliography. Subject Index.