Latin squares : new developments in the theory and applications / [edited by] J. Dénes and A.D. Keedwell ; with specialist contributions by G.B. Belyavskaya ... [et al.].

Contributor(s):

Material type: Text

TextSeries: Annals of discrete mathematics ; 46Publication details: Amsterdam ; New York : North-Holland ; New York, N.Y., U.S.A. : Distributors for the U.S. and Canada, Elsevier Science Pub. Co., c1991.Description: xiv, 453 p. : ill. ; 25 cmISBN:

0444888993

Subject(s):

Magic squares

DDC classification:

512.9/25 20

LOC classification:

QA165 .L38 1991

Holdings
Item type	Current library	Call number	Status	Date due	Barcode
Standard Loan	Thurles Library Main Collection	512.925 DEN (Browse shelf(Opens below))	Available		R07130KRCT

Enhanced descriptions from Syndetics:

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.

Includes bibliographical references (p. 399-443) and index.

Table of contents provided by Syndetics

Foreword
Introduction
Transversals and Complete Mappings
Sequenceable and R-Sequenceable Groups: Row Complete Latin Squares
Latin Squares With and Without Subsquares of Prescribed Type
Recursive Constructions of Mutually Orthogonal Latin Squares
r-Orthogonal Latin Squares
Latin Squares and Universal Algebra
Embedding Theorems for Partial Latin Squares
Latin Squares and Codes
Latin Squares as Experimental Designs
Latin Squares and Geometry
Frequency Squares
Bibliography
Subject Index

Author notes provided by Syndetics

He has spent almost the whole of his teaching career at the University of Surrey. Since retirement from teaching he has been an Honorary Senior Research Fellow at that Institution. He is the author of some ninety research papers and two books, most related in some way to latin squares. He is a Foundation Fellow of the Institute of Combinatorics and their Applications and a member of the Editorial Board of \Quasigroups and Related Systems". He was the ?rst secretary of the British Combinatorial Committee and continued to serve in that capacity for 8 years. Also, he was one of the organizers of the 1991 British Combinatorial Conference and editor of its Proceedings. He is probably best known internationally as one of the authors of \Latin Squares and their Applications" of which the present book is a re-written and updated new edition.