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A New Proof of the Four Colour Theorem

http://www.geocities.com/dharwadker/

By Ashay Dharwadker. Includes profile, research papers for other algorithms, lecture notes, and student database.

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ArXiv Front: CO Combinatorics

http://front.math.ucdavis.edu/math.CO

Combinatorics section of the Front for the Mathematics ArXiv.

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Catalogue of Lattices

http://www.research.att.com/~njas/lattices/

A catalogue of different types with applications to packing spheres by Neil Sloane and Gabriele Nebe.

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CATS: Combinatorial Algorithms Test Sets

http://www.jea.acm.org/CATS/

Searchable index of problems, links and methodology maintained by the Association for Computing Machinery.

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Combinatorial Catalogues

http://www.csse.uwa.edu.au/~gordon/data.html

Combinatorial objects such as graphs, designs and geometries collected by Gordon Royle.

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Combinatorial Data

http://cs.anu.edu.au/~bdm/data/

Brendan McKay's collection of miscellaneous tables in graph6 or sparse6 format.

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Combinatorics

http://www.ams.org/msc/05-xx.html

Subfields in the AMS MSC 2000 classification 05.

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Combinatorics

http://mathworld.wolfram.com/Combinatorics.html

MathWorld article with basic definitions and links.

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Counting Young Tableaux

http://bergeron.math.uqam.ca/Bessel/bessel.html

An article on counting Young tableaux of bounded height by François Bergeron and Francis Gascon.

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Encyclopedia of Combinatorial Structures

http://algo.inria.fr/encyclopedia/

Searchable database of structures with specifications and counts.

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Enumeration of Polyhedra

http://www.uwgb.edu/dutchs/symmetry/polynum0.htm

Enumeration of polyhedra with upto 9 faces by Steven Dutch.

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G-Systems

http://www.sweb.cz/vladimir_ladma/english/music/articles/dide99.htm

Theory of chord structures to create music through algorithms by Vladimir Ladma.

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Generating Functions

http://www.cut-the-knot.org/blue/GeneratingFunctions.shtml

Introduction to generating functions with interactive java applets by Alexander Bogomolny.

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Lectures in Combinatorics

http://www.freewebs.com/desargues/combinatorics.htm

An introduction to partially ordered sets, Dilworth's theorem, lattices and combinatorial geometries.

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Polya's Enumeration Theorem

http://www.mathreference.com/cmb-gf,pet.html

An article on generating functions and Polya's theory of counting by Karl Dahlke.

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Series Expansions

http://www.ms.unimelb.edu.au/~iwan/Series.html

Iwan Jensen counts polyominoes (aka lattice animals), paths, and various related quantities.

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Squared Squares

http://www.squaring.net/

Tilings of squares and rectangles, the classical problem and variations.

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The Combinatorial Object Server

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.

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