
Algebraic and Geometric Methods in Enumerative Combinatorics
by Federico Ardila
Publisher: arXiv 2014
Number of pages: 143
Description:
The guiding principle was to focus on algebraic and geometric techniques that are useful towards the solution of enumerative problems. The main goal of this survey is to state clearly and concisely some of the most useful tools in algebraic and geometric enumeration, and to give many examples that quickly and concretely illustrate how to put these tools to use.
Download or read it online for free here:
Download link
(1.8MB, PDF)
Similar books
Applied Combinatoricsby S. E. Payne - University of Colorado
These notes deal with enumerative combinatorics. The author included some traditional material and some truly nontrivial material, albeit with a treatment that makes it accessible to the student. He derives a variety of techniques for counting.
(18344 views)
An Introduction to Combinatorics and Graph Theoryby David Guichard - Whitman College
The book covers the classic parts of Combinatorics and graph theory, with some recent progress in the area. Contents: Fundamentals; Inclusion-Exclusion; Generating Functions; Systems of Distinct Representatives; Graph Theory; Polya-Redfield Counting.
(10548 views)
Combinatorial Maps: Tutorialby Dainis Zeps - Latvian University
Contents: Permutations; Combinatorial maps; The correspondence between combinatorial maps and graphs on surfaces; Map's mirror reflection and dual map; Multiplication of combinatorial maps; Normalized combinatorial maps; Geometrical interpretation...
(8871 views)
Matroid Decompositionby Klaus Truemper - Leibniz
Matroids were introduced in 1935 as an abstract generalization of graphs and matrices. Matroid decomposition covers the area of the theory dealing with decomposition and composition of matroids. The exposition is clear and simple.
(11993 views)