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.
About the Author
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 first 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.
Table of ContentsForeword (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.