Knowledge: combinatorics
See Also:
Links
- 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.
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