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Finite ordered sets : concepts, results and uses /
"Ordered sets are ubiquitous in mathematics and have significant applications in computer science, statistics, biology and the social sciences. As the first book to deal exclusively with finite ordered sets, this book will be welcomed by graduate students and researchers in all of these areas....
Main Authors: | , , |
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Format: | Printed Book |
Language: | English |
Published: |
Cambridge ; New York :
Cambridge University Press,
2012.
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Series: | Encyclopedia of mathematics and its applications ;
v. 144. |
Subjects: | |
Online Access: | Cover image Contributor biographical information Publisher description Table of contents only |
Table of Contents:
- Machine generated contents note: Preface; 1. Concepts and examples; 2. Particular classes of ordered sets; 3. Morphisms of ordered sets; 4. Chains and antichains; 5. Ordered sets and distributive lattices; 6. Order codings and dimensions; 7. Some uses; A. About algorithmic complexity; B. The 58 types of connected sets of size at most 5 elements; C. The numbers of ordered sets and types of ordered sets; D. Documentation marks; List of symbols; Bibliography; Index.