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