Combinatorics

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• The Combinatorics Net - http://www.combinatorics.net/
• Maintained by Bill Chen.
• ArXiv Front: CO Combinatorics - http://front.math.ucdavis.edu/math.co
• Combinatorics section of the Front for the Mathematics ArXiv.
• Enumeration of the Binary Trees - http://ulcar.uml.edu/~iag/cs/catalan.html
• A note on Catalan numbers by Ivan Galkin.
• 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.
• Topics in Mathematics - Combinatorics - http://archives.math.utk.edu/topics/combinatorics.html
• In the Mathematics Archive at University of Tennessee, Knoxville.
• Extremal Combinatorics - http://www.thi.informatik.uni-frankfurt.de/~jukna/ec_book/
• With Applications in Computer Science by Stasys Jukna.
• Encyclopedia of Combinatorial Structures - http://algo.inria.fr/encyclopedia/
• Searchable database of structures with specifications and counts.
• Algebraic Combinatorics via Finite Group Actions - http://www.mathe2.uni-bayreuth.de/frib/html/book/hyl00.html
• A hypertext by A. Betten, H. Fripertinger and A. Kerber.
• 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.
• A Survey of Venn Diagrams - http://www.combinatorics.org/surveys/ds5/vennejc.html
• Various facts and figures about Venn diagrams by Frank Ruskey.
• 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.
• Combinatorics - http://www.ams.org/msc/05-xx.html
• Subfields in the AMS MSC 2000 classification 05.
• Combinatorial Data - http://cs.anu.edu.au/~bdm/data/
• Brendan McKay's collection of miscellaneous tables in graph6 or sparse6 format.
• 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.
• The Math Forum Math Library - Combinatorics - http://mathforum.org/library/topics/combinatorics/
• Comprehensive catalog of websites relating to Combinatorics.
• Generating Functions - http://www.cut-the-knot.org/blue/generatingfunctions.shtml
• Introduction to generating functions with interactive java applets by Alexander Bogomolny.
• Combinatorial Catalogues - http://www.csse.uwa.edu.au/~gordon/data.html
• Combinatorial objects such as graphs, designs and geometries collected by Gordon Royle.
• On-line Dictionary of Combinatorics - http://www.southernct.edu/~fields/comb_dic/
• An expanding web text by Joe Fields.
• Series Expansions - http://www.ms.unimelb.edu.au/~iwan/series.html
• Iwan Jensen counts polyominoes (aka lattice animals), paths, and various related quantities.
• Lectures in Combinatorics - http://www.freewebs.com/desargues/combinatorics.htm
• An introduction to partially ordered sets, Dilworth's theorem, lattices and combinatorial geometries.
• The Cutting Sticks Problem - http://www.iwriteiam.nl/cutsticks.html
• An unsolved combinatorial problem by Frans Faase.
• Combinatorics - http://mathworld.wolfram.com/combinatorics.html
• MathWorld article with basic definitions and links.
• 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.
• 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.
• Squared Squares - http://www.squaring.net/
• Tilings of squares and rectangles, the classical problem and variations.
• The Seventeen Wallpaper Groups - http://mathmuse.sci.ibaraki.ac.jp/pattrn/patterne.html
• Examples in traditional Japanese patterns.
• Enumeration of Polyhedra - http://www.uwgb.edu/dutchs/symmetry/polynum0.htm
• Enumeration of polyhedra with upto 9 faces by Steven Dutch.
• 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.