Latin Squares, 1st Edition

New Developments in the Theory and Applications

 
Latin Squares, 1st Edition,Jozsef Denes,A. Donald Keedwell,ISBN9780444888990
 
 
 

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North Holland

9780444888990

9780080867861

452

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Description

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.

Jozsef Denes

Affiliations and Expertise

Industrial and Scientific Consultant, Formerly Head of Mathematics, Institute for Research and Co-ordination of Computing Techniques (SZKI), Budapest, Hungary

A. Donald Keedwell

Affiliations and Expertise

Department of Mathematical and Computing Science, University of Surrey, Guildford, Surrey, UK

Latin Squares, 1st Edition

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.

Quotes and reviews

@from:R.G. Stanton
@qu:...a gold mine of information on all aspects of Latin squares...
@source:Short Book Reviews
 
 
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