Lecture notes on algebraic methods in combinatorics
Raul Penaguiao
TL;DR
These lecture notes introduce algebraic methods in combinatorics, focusing on extremal problems and combinatorial geometry, providing an overview without exhaustive proofs.
Contribution
The notes offer an accessible introduction to algebraic techniques in combinatorics and their applications in extremal problems and geometry, based on a 2023 course.
Findings
Overview of algebraic methods in extremal combinatorics
Applications to combinatorial geometry
Educational resource for advanced combinatorics
Abstract
These are lecture notes of a course taken in Leipzig 2023, spring semester. It deals with extremal combinatorics, algebraic methods and combinatorial geometry. These are not meant to be exhaustive, and do not contain many proofs that were presented in the course.
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Taxonomy
Topicsgraph theory and CDMA systems · Graph Labeling and Dimension Problems