Combinatorics
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Algebraic Combinatorics via Finite Group Actions
- A hypertext by A. Betten, H. Fripertinger and A. Kerber.
ArXiv Front: CO Combinatorics
- Combinatorics section of the Front for the Mathematics ArXiv.
Catalogue of Lattices
- A catalogue of different types with applications to packing spheres by Neil Sloane and Gabriele Nebe.
CATS: Combinatorial Algorithms Test Sets
- Searchable index of problems, links and methodology maintained by the Association for Computing Machinery.
Combinatorial Catalogues
- Combinatorial objects such as graphs, designs and geometries collected by Gordon Royle.
Combinatorial Data
- Brendan McKay's collection of miscellaneous tables in graph6 or sparse6 format.
The Combinatorial Object Server
- Select a type together with specific parameter values and COS will return a list of all such combinatorial objects.
Combinatorics
- Subfields in the AMS MSC 2000 classification 05.
Combinatorics
- MathWorld article with basic definitions and links.
The Combinatorics Net
- Maintained by Bill Chen.
Counting Young Tableaux
- An article on counting Young tableaux of bounded height by François Bergeron and Francis Gascon.
The Cutting Sticks Problem
- An unsolved combinatorial problem by Frans Faase.
Encyclopedia of Combinatorial Structures
- Searchable database of structures with specifications and counts.
Enumeration of Polyhedra
- Enumeration of polyhedra with upto 9 faces by Steven Dutch.
Enumeration of the Binary Trees
- A note on Catalan numbers by Ivan Galkin.
Extremal Combinatorics
- With Applications in Computer Science by Stasys Jukna.
Generating Functions
- Introduction to generating functions with interactive java applets by Alexander Bogomolny.
G-Systems
- Theory of chord structures to create music through algorithms by Vladimir Ladma.
Lectures in Combinatorics
- An introduction to partially ordered sets, Dilworth's theorem, lattices and combinatorial geometries.
The Math Forum Math Library - Combinatorics
- Comprehensive catalog of websites relating to Combinatorics.
A New Proof of the Four Colour Theorem
- By Ashay Dharwadker. Includes profile, research papers for other algorithms, lecture notes, and student database.
On-line Dictionary of Combinatorics
- An expanding web text by Joe Fields.
Polya's Enumeration Theorem
- An article on generating functions and Polya's theory of counting by Karl Dahlke.
Series Expansions
- Iwan Jensen counts polyominoes (aka lattice animals), paths, and various related quantities.
The Seventeen Wallpaper Groups
- Examples in traditional Japanese patterns.
Squared Squares
- Tilings of squares and rectangles, the classical problem and variations.
A Survey of Venn Diagrams
- Various facts and figures about Venn diagrams by Frank Ruskey.
Topics in Mathematics - Combinatorics
- In the Mathematics Archive at University of Tennessee, Knoxville.
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