Combinatorics Math

Combinatorics

Combinatorics studies problems involving finite sets of objects that are defined by certain specified properties. For example, the objects in question may themselves be sets, numbers, graphs or other geometrical configurations. What is the least number of people that you need to have in a room so that there is always a group of three mutual strangers or a group of three mutual acquaintances? The answer is six.

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• - Introduction to generating functions with interactive java applets by Alexander Bogomolny.
  
• - With Applications in Computer Science by Stasys Jukna.
  
• - Searchable database of structures with specifications and counts.
  
• - A project to develop a hypertext on major topics in combinatorics.
  
• - Various facts and figures about Venn diagrams by Frank Ruskey.
  
• - Subfields in the AMS MSC 2000 classification 05.
  
• - Maintained by Bill Chen.
  
• - An expanding web text by Joe Fields.
  
• - Combinatorics section of the Front for the Mathematics ArXiv.
  
• - Comprehensive catalog of websites relating to Combinatorics.
  
• - About 40 "informal notes" on combinatorics by Kevin Brown.
  
• - An unsolved combinatorial problem by Frans Faase.
  
• - Computer code for research algorithms in operational research and combinatorial optimization.
  
• - Select a type together with specific parameter values and COS will return a list of all such combinatorial objects.
  
• - Searchable index of problems, links and methodology maintained by the Association for Computing Machinery.
  
• - A note on Catalan numbers by Ivan Galkin.
  
• - Combinatorial objects such as graphs, designs and geometries collected by Gordon Royle.
  
• - A hypertext by A. Betten, H. Fripertinger and A. Kerber.
  
• - Theory of chord structures to create music through algorithms by Vladimir Ladma.
  
• - In the Mathematics Archive at UTK.
  
• - A catalogue of different types with applications to packing spheres by Neil Sloane and Gabriele Nebe.
  
• - Lecture notes by Herbert S. Wilf on generating combinatorial objects and Maple.
  
• - Brendan McKay's collection of miscellaneous tables in graph6 or sparse6 format.
  
  

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