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Combinatorial Theory

Publisher: 
Springer Verlag
Number of Pages: 
500
Price: 
54.95
ISBN: 
3540617876
Date Received: 
Friday, July 21, 2006
Reviewable: 
Yes
Include In BLL Rating: 
Yes
Martin Aigner
Series: 
(Classics in Mathematics
Publication Date: 
2004
Format: 
Paperback
Category: 
Textbook
BLL Committee
07/27/2010
BLL Rating: 

 Preliminaries: Sets: Graphs; Posets; Miscellaneous Notation. Mappings: Classes of Mappings; Fundamental Orders; Permutations; Patterns. Lattices: Distributive Lattices; Modular and Semimodular Lattices; Geometric Lattices; The Fundamental Examples. Countng Functions: The Elementary Counting Coefficients; Recursion and Inversion; Binomial Sequences; Order Functions. Incidence Functions: The Incidence Algebra; Möbius Inversion; The Möbius Function; Valuations. Generating Functions:Ordered Structures; Unordered Structures; G-patterns; G, H-patterns. Matroids- Introduction: Fundamental Concepts; Fundamental Examples; Construction of Matroids; Duality and Connectivity. Matroids - Further Theory: Linear Matroids; Bineary matroids; Graphic Matroids; Transversal Matroids. Combinatorial Order Theory: Maximum-Minimum Theorems; Transversal Theorems; Sperner Theorems; Ramsey Theorems. Bibliography. List of Symbols. Subject Index

Publish Book: 
Modify Date: 
Tuesday, July 27, 2010

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