Ramsey Theory

Wiley-Interscience Series in Discrete Mathematics and Optimization Advisory Editors: Ronald L. Graham, Jan Karel Lenstra, and Robert E. TarjanDiscrete mathematics, the study of finite structures, is one of the fastest-growing areas in mathematics. The wide applicability of its evolving techniques points to the rapidity with which the field is moving from its beginnings to its maturity, and reflects the ever-increasing interaction between discrete mathematics and computer science. This Series provides broad coverage of discrete mathematics and optimization, ranging over such fields as combinatorics, graph theory, enumeration, and the analysis of algorithms.The Wiley-Interscience Series in Discrete Mathematics and Optimization will be a substantial part of the record of the extraordinary development of this field. A complete listing of the titles in the Series appears on the inside front cover of this book."[Integer and Combinatorial Optimization] is a major contribution to the literature of discrete programming. This text should be required reading for anybody who intends to research this area or even just to keep abreast of developments." -Times Higher Education Supplement, London"An extensive but extremely well-written graduate text covering integer programming." -American Mathematical MonthlyRecent titles in the Series include:Integer and Combinatorial Optimization George L. Nemhauser and Laurence A. Wolsey 1988 (0 471-82819-X) 763 pp.Introduction to the Theory of Error-Correcting Codes Second Edition Vera Pless For mathematicians, engineers, and computer scientists, here is an introduction to the theory of error-correcting codes, focusing on linear block codes. The book considers such codes as Hamming and Golay codes, correction of double errors, use of finite fields, cyclic codes, B.C.H. codes, weight distributions, and design of codes. In a second edition of the book, Pless offers thoroughly expanded coverage of nonbinary and cyclic codes. Some proofs have been simplified, and there are many more examples and problems. 1989 (0 471-61884-5) 224 pp.

About the authors RONALD L. GRAHAM is Adjunct Director for Research at AT&T Bell Laboratories, and University Professor of the Mathematical Sciences at Rutgers University. He is coauthor of Concrete Mathematics and of Old and New Problems in Combinatorial Number Theory, and serves on the editorial boards of more than 25 technical journals. He received his PhD in mathematics from the University of California, Berkeley. BRUCE L. ROTHSCHILD is Professor of Mathematics at the University of California, Los Angeles. He is Managing Editor of the Journal of Combinatorial Theory. He received his PhD in mathematics from Yale University. JOEL H. SPENCER is a professor of mathematics and computer science at the Courant Institute. He is the author of Ten Lectures on the Probabilistic Method and the editor of Random Structures and Algorithms. He received his PhD in mathematics from Harvard University.