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Combinatorial Game Theory
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Design Theory
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Events
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Graph Theory
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Open Problems
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Computers > Algorithms
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Web Pages
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Viewing in alphabetical order
A New Proof of the Four Colour Theorem
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http://www.geocities.com/dharwadker/
By Ashay Dharwadker. Includes profile, research papers for other algorithms, lecture notes, and student database.
A Survey of Venn Diagrams
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http://www.combinatorics.org/Surveys/ds5/VennEJC.html
Various facts and figures about Venn diagrams by Frank Ruskey.
Algebraic Combinatorics via Finite Group Actions
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http://www.mathe2.uni-bayreuth.de/frib/html/book/hyl00.html
A hypertext by A. Betten, H. Fripertinger and A. Kerber.
ArXiv Front: CO Combinatorics
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http://front.math.ucdavis.edu/math.CO
Combinatorics section of the Front for the Mathematics ArXiv.
Catalogue of Lattices
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http://www.research.att.com/~njas/lattices/
A catalogue of different types with applications to packing spheres by Neil Sloane and Gabriele Nebe.
CATS: Combinatorial Algorithms Test Sets
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http://www.jea.acm.org/CATS/
Searchable index of problems, links and methodology maintained by the Association for Computing Machinery.
Combinatorial Catalogues
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http://www.csse.uwa.edu.au/~gordon/data.html
Combinatorial objects such as graphs, designs and geometries collected by Gordon Royle.
Combinatorial Data
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http://cs.anu.edu.au/~bdm/data/
Brendan McKay's collection of miscellaneous tables in graph6 or sparse6 format.
Combinatorics
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http://mathworld.wolfram.com/Combinatorics.html
MathWorld article with basic definitions and links.
Combinatorics
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http://www.ams.org/msc/05-xx.html
Subfields in the AMS MSC 2000 classification 05.
Counting Young Tableaux
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http://bergeron.math.uqam.ca/Bessel/bessel.html
An article on counting Young tableaux of bounded height by François Bergeron and Francis Gascon.
Encyclopedia of Combinatorial Structures
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http://algo.inria.fr/encyclopedia/
Searchable database of structures with specifications and counts.
Enumeration of Polyhedra
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http://www.uwgb.edu/dutchs/symmetry/polynum0.htm
Enumeration of polyhedra with upto 9 faces by Steven Dutch.
Enumeration of the Binary Trees
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http://ulcar.uml.edu/~iag/CS/Catalan.html
A note on Catalan numbers by Ivan Galkin.
Extremal Combinatorics
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http://www.thi.informatik.uni-frankfurt.de/~jukna/EC_Book/
With Applications in Computer Science by Stasys Jukna.
G-Systems
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http://www.sweb.cz/vladimir_ladma/english/music/articles/dide99.htm
Theory of chord structures to create music through algorithms by Vladimir Ladma.
Generating Functions
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http://www.cut-the-knot.org/blue/GeneratingFunctions.shtml
Introduction to generating functions with interactive java applets by Alexander Bogomolny.
Lectures in Combinatorics
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http://www.freewebs.com/desargues/combinatorics.htm
An introduction to partially ordered sets, Dilworth's theorem, lattices and combinatorial geometries.
On-line Dictionary of Combinatorics
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http://www.southernct.edu/~fields/comb_dic/
An expanding web text by Joe Fields.
Polya's Enumeration Theorem
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http://www.mathreference.com/cmb-gf,pet.html
An article on generating functions and Polya's theory of counting by Karl Dahlke.
Series Expansions
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http://www.ms.unimelb.edu.au/~iwan/Series.html
Iwan Jensen counts polyominoes (aka lattice animals), paths, and various related quantities.
Squared Squares
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http://www.squaring.net/
Tilings of squares and rectangles, the classical problem and variations.
The Combinatorial Object Server
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http://www.theory.csc.uvic.ca/~cos/
Select a type together with specific parameter values and COS will return a list of all such combinatorial objects.
The Combinatorics Net
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http://www.combinatorics.net/
Maintained by Bill Chen.
The Cutting Sticks Problem
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http://www.iwriteiam.nl/cutsticks.html
An unsolved combinatorial problem by Frans Faase.
The Math Forum Math Library - Combinatorics
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http://mathforum.org/library/topics/combinatorics/
Comprehensive catalog of websites relating to Combinatorics.
The Seventeen Wallpaper Groups
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http://mathmuse.sci.ibaraki.ac.jp/pattrn/PatternE.html
Examples in traditional Japanese patterns.
Topics in Mathematics - Combinatorics
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http://archives.math.utk.edu/topics/combinatorics.html
In the Mathematics Archive at University of Tennessee, Knoxville.
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