Lectures on Advances in Combinatorics

• Main Authors: Ahlswede, Rudolf (Author), Blinovsky, Vladimir (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Series: Universitext
• Subjects: Mathematics.; Computers.; Computer science > Mathematics.; Number theory.; Probabilities.; Discrete mathematics.; Combinatorics.; Discrete Mathematics.; Probability Theory and Stochastic Processes.; Theory of Computation.; Discrete Mathematics in Computer Science.; Number Theory.

The main focus of these lectures is basis extremal problems and inequalities – two sides of the same coin. Additionally they prepare well for approaches and methods useful and applicable in a broader mathematical context. Highlights of the book include a solution to the famous 4m-conjecture of Erdös...

Table of Contents:

• Conventions and Auxiliary Results
• Intersection and Diametric Problems
• Covering, Packing, and List Codes
• Higher Level and Dimension Constrained Extremal Problems
• LYM-Related AZ-Identities, Antichain Splittings and Correlation Inequalities
• Basic Problems from Combinatorial Number Theory.