The Combinatorics Net
www.combinatorics.net/
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Maintained by Bill Chen.
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ArXiv Front: CO Combinatorics
front.math.ucdavis.edu/math.CO
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Combinatorics section of the Front for the Mathematics ArXiv.
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Enumeration of the Binary Trees
ulcar.uml.edu/~iag/CS/Catalan.html
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A note on Catalan numbers by Ivan Galkin.
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The Combinatorial Object Server
www.theory.csc.uvic.ca/~cos/
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Select a type together with specific parameter values and COS will return a list of all such combinatorial objects.
keywords: partition, tree, towershanoi, set, sequence, queens, puzzle, problem, permutation, pentomino
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Topics in Mathematics - Combinatorics
archives.math.utk.edu/topics/combinatorics.html
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In the Mathematics Archive at University of Tennessee, Knoxville.
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Extremal Combinatorics
www.thi.informatik.uni-frankfurt.de/~jukna/EC_Book/
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With Applications in Computer Science by Stasys Jukna.
keywords: mathematics, theorydiscrete, theorycomputation, mathematicscomputing, graph, combinatorial
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Encyclopedia of Combinatorial Structures
algo.inria.fr/encyclopedia/
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Searchable database of structures with specifications and counts.
keywords: (none)
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Algebraic Combinatorics via Finite Group Actions
www.mathe2.uni-bayreuth.de/frib/html/book/hyl00.html
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A hypertext by A. Betten, H. Fripertinger and A. Kerber.
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CATS: Combinatorial Algorithms Test Sets
www.jea.acm.org/CATS/
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Searchable index of problems, links and methodology maintained by the Association for Computing Machinery.
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A Survey of Venn Diagrams
www.combinatorics.org/Surveys/ds5/VennEJC.html
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Various facts and figures about Venn diagrams by Frank Ruskey.
keywords: john, hypercube
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G-Systems
www.sweb.cz/vladimir_ladma/english/music/articles/dide99.htm
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Theory of chord structures to create music through algorithms by Vladimir Ladma.
keywords: triangle, polya, pascal, musical, mathematicsmusic, instance, harmony, gauss, fermat, composition
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Combinatorics
www.ams.org/msc/05-xx.html
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Subfields in the AMS MSC 2000 classification 05.
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Combinatorial Data
cs.anu.edu.au/~bdm/data/
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Brendan McKay's collection of miscellaneous tables in graph6 or sparse6 format.
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Catalogue of Lattices
www.research.att.com/~njas/lattices/
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A catalogue of different types with applications to packing spheres by Neil Sloane and Gabriele Nebe.
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The Math Forum Math Library - Combinatorics
mathforum.org/library/topics/combinatorics/
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Comprehensive catalog of websites relating to Combinatorics.
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Generating Functions
www.cut-the-knot.org/blue/GeneratingFunctions.shtml
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Introduction to generating functions with interactive java applets by Alexander Bogomolny.
keywords: series, mathematics, math, help, formal, corfficients, binomial
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Combinatorial Catalogues
www.csse.uwa.edu.au/~gordon/data.html
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Combinatorial objects such as graphs, designs and geometries collected by Gordon Royle.
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On-line Dictionary of Combinatorics
www.southernct.edu/~fields/comb_dic/
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An expanding web text by Joe Fields.
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Series Expansions
www.ms.unimelb.edu.au/~iwan/Series.html
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Iwan Jensen counts polyominoes (aka lattice animals), paths, and various related quantities.
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Lectures in Combinatorics
www.freewebs.com/desargues/combinatorics.htm
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An introduction to partially ordered sets, Dilworth's theorem, lattices and combinatorial geometries.
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The Cutting Sticks Problem
www.iwriteiam.nl/cutsticks.html
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An unsolved combinatorial problem by Frans Faase.
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Combinatorics
mathworld.wolfram.com/Combinatorics.html
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MathWorld article with basic definitions and links.
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Polya's Enumeration Theorem
www.mathreference.com/cmb-gf,pet.html
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An article on generating functions and Polya's theory of counting by Karl Dahlke.
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Counting Young Tableaux
bergeron.math.uqam.ca/Bessel/bessel.html
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An article on counting Young tableaux of bounded height by François Bergeron and Francis Gascon.
keywords: enumeration
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Squared Squares
www.squaring.net/
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Tilings of squares and rectangles, the classical problem and variations.
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The Seventeen Wallpaper Groups
mathmuse.sci.ibaraki.ac.jp/pattrn/PatternE.html
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Examples in traditional Japanese patterns.
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Enumeration of Polyhedra
www.uwgb.edu/dutchs/symmetry/polynum0.htm
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Enumeration of polyhedra with upto 9 faces by Steven Dutch.
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A New Proof of the Four Colour Theorem
www.geocities.com/dharwadker/
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By Ashay Dharwadker. Includes profile, research papers for other algorithms, lecture notes, and student database.
keywords: color
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A=B
www.cis.upenn.edu/~wilf/AeqB.html
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Downloadable combinatorics text by Marko Petkovsek, Herbert Wilf and Doron Zeilberger. Published by A. K. Peters.
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