Safe no more

McCain campaign machine struggles in North Carolina

news.bbc.co.uk

Exit route

The euthanasia expert advising over-50s on suicide

news.bbc.co.uk

Ministers shelve 42-day detention

Home Secretary Jacqui Smith says plans to extend terror detention to 42 days will be dropped from current bill.

news.bbc.co.uk

Asian stocks repeat US successes

Tokyo's Nikkei index soars 13% higher, matching gains seen in New York, as confidence starts to return to financial markets.

news.bbc.co.uk

Welsh-only police car sign denied

North Wales Police say they have no plans to remove the word "police" and leave only the Welsh "heddlu" on vehicles.

news.bbc.co.uk

Whale deal falls at last minute

Hope for consensus between environmentalists and whalers in Barcelona is derailed by a last-minute Australian intervention.

news.bbc.co.uk

Motorists stopped over pub murder

Strathclyde Police release details of the vehicle they believe was used in a double shooting outside a Glasgow pub.

news.bbc.co.uk

Wildcats forward Watene dies

Wakefield prop forward Adam Watene, 31, dies after taking part in a training session.

news.bbc.co.uk

'Exceptional man'

One family's 12-year quest for justice in Cambodia

news.bbc.co.uk

IFA sacks chief executive Wells

Irish Football Association chief executive Howard Wells has been sacked.

news.bbc.co.uk

Mbeki seeks to save Zimbabwe deal

Ex-South African President Thabo Mbeki arrives in Harare to try and salvage the power-sharing deal he brokered last month.

news.bbc.co.uk

Mike Baker

Are we asking too much of our teachers?

news.bbc.co.uk

Rhys trial told of suspect threat

The teenager accused of murdering Rhys Jones told a girl the alleged target was going to "get it", a court hears.

news.bbc.co.uk

Inflation likely to hit 5% rate

The annual rate of UK inflation is expected to hit 5%, with higher gas and electricity bills causing much of the increase.

news.bbc.co.uk

Terry & Cole out of Belarus match

Injured duo John Terry and Ashley Cole will miss England's World Cup qualifier against Belarus, and keeper Robert Green is also out.

news.bbc.co.uk

In pictures

The latest show in Tate Modern's Turbine Hall

news.bbc.co.uk

House sales hit new 30-year low

The slump in the property market is worsening, the latest survey from the Royal Institution of Chartered Surveyors says.

news.bbc.co.uk

LA firefighters battle wildfires

Firefighters tackle wildfires near Los Angeles which have caused two deaths, with 12,000 driven from their homes.

news.bbc.co.uk

Newcastle sale 'progressing well'

The sale of Newcastle is progressing "extremely well", according to the man responsible for brokering the deal.

news.bbc.co.uk

Anteaters get antsy over Thailand violence

Zookeepers in Bangkok move two anteaters out of the city, fearing stress caused by noisy recent clashes could make the sensitive animals ill.

news.bbc.co.uk

Schools hit by rebuilding delays

The scale of the delays affecting England's school rebuilding project is revealed by a parliamentary question.

news.bbc.co.uk

Dutch 'HIV attack' trial begins

Three men go on trial in the Netherlands accused of deliberately infecting at least 14 other men with HIV.

news.bbc.co.uk

Four jailed for Cambodia murders

Four ex-members of Cambodia's Khmer Rouge are jailed for their part in the murder of a British mine-clearer and his interpreter.

news.bbc.co.uk

Civic pride

The local response to the world financial crisis

news.bbc.co.uk

Send your video, pictures and story ideas

Have you got a good story? BBC News wants to hear from you.

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 World Catalog > Science > Math > Combinatorics

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World Catalog > Science > Math > Combinatorics

Combinatorics:

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

ArXiv Front: CO Combinatorics

Combinatorics section of the Front for the Mathematics ArXiv.

http://front.math.ucdavis.edu/math.CO

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/

Graand

Free Classified Ads Portal

www.graand.com

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/

Combinatorial Catalogues

Combinatorial objects such as graphs, designs and geometries collected by Gordon Royle.

http://www.csse.uwa.edu.au/~gordon/data.html

Combinatorial Data

Brendan McKay's collection of miscellaneous tables in graph6 or sparse6 format.

http://cs.anu.edu.au/~bdm/data/

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/

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

The Combinatorics Net

Maintained by Bill Chen.

http://www.combinatorics.net/

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

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/

Enumeration of Polyhedra

Enumeration of polyhedra with upto 9 faces by Steven Dutch.

http://www.uwgb.edu/dutchs/symmetry/polynum0.htm

Enumeration of the Binary Trees

A note on Catalan numbers by Ivan Galkin.

http://ulcar.uml.edu/~iag/CS/Catalan.html

Extremal Combinatorics

With Applications in Computer Science by Stasys Jukna.

http://www.thi.informatik.uni-frankfurt.de/~jukna/EC_Book/

Generating Functions

Introduction to generating functions with interactive java applets by Alexander Bogomolny.

http://www.cut-the-knot.org/blue/GeneratingFunctions.shtml

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

Lectures in Combinatorics

An introduction to partially ordered sets, Dilworth's theorem, lattices and combinatorial geometries.

http://www.freewebs.com/desargues/combinatorics.htm

The Math Forum Math Library - Combinatorics

Comprehensive catalog of websites relating to Combinatorics.

http://mathforum.org/library/topics/combinatorics/

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/

On-line Dictionary of Combinatorics

An expanding web text by Joe Fields.

http://www.southernct.edu/~fields/comb_dic/

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

Series Expansions

Iwan Jensen counts polyominoes (aka lattice animals), paths, and various related quantities.

http://www.ms.unimelb.edu.au/~iwan/Series.html

The Seventeen Wallpaper Groups

Examples in traditional Japanese patterns.

http://mathmuse.sci.ibaraki.ac.jp/pattrn/PatternE.html

Squared Squares

Tilings of squares and rectangles, the classical problem and variations.

http://www.squaring.net/

A Survey of Venn Diagrams

Various facts and figures about Venn diagrams by Frank Ruskey.

http://www.combinatorics.org/Surveys/ds5/VennEJC.html

Topics in Mathematics - Combinatorics

In the Mathematics Archive at University of Tennessee, Knoxville.

http://archives.math.utk.edu/topics/combinatorics.html

Mbeki seeks to save Zimbabwe deal

Ex-South African President Thabo Mbeki arrives in Harare to try and salvage the power-sharing deal he brokered last month.

news.bbc.co.uk

Motorists stopped over pub murder

Strathclyde Police release details of the vehicle they believe was used in a double shooting outside a Glasgow pub.

news.bbc.co.uk

Four jailed for Cambodia murders

Four ex-members of Cambodia's Khmer Rouge are jailed for their part in the murder of a British mine-clearer and his interpreter.

news.bbc.co.uk

Asian stocks repeat US successes

Tokyo's Nikkei index soars 13% higher, matching gains seen in New York, as confidence starts to return to financial markets.

news.bbc.co.uk

Welsh-only police car sign denied

North Wales Police say they have no plans to remove the word "police" and leave only the Welsh "heddlu" on vehicles.

news.bbc.co.uk

Send your video, pictures and story ideas

Have you got a good story? BBC News wants to hear from you.

news.bbc.co.uk

Ministers shelve 42-day detention

Home Secretary Jacqui Smith says plans to extend terror detention to 42 days will be dropped from current bill.

news.bbc.co.uk

Anteaters get antsy over Thailand violence

Zookeepers in Bangkok move two anteaters out of the city, fearing stress caused by noisy recent clashes could make the sensitive animals ill.

news.bbc.co.uk

Newcastle sale 'progressing well'

The sale of Newcastle is progressing "extremely well", according to the man responsible for brokering the deal.

news.bbc.co.uk

Dutch 'HIV attack' trial begins

Three men go on trial in the Netherlands accused of deliberately infecting at least 14 other men with HIV.

news.bbc.co.uk

IFA sacks chief executive Wells

Irish Football Association chief executive Howard Wells has been sacked.

news.bbc.co.uk

In pictures

The latest show in Tate Modern's Turbine Hall

news.bbc.co.uk

Terry & Cole out of Belarus match

Injured duo John Terry and Ashley Cole will miss England's World Cup qualifier against Belarus, and keeper Robert Green is also out.

news.bbc.co.uk

Whale deal falls at last minute

Hope for consensus between environmentalists and whalers in Barcelona is derailed by a last-minute Australian intervention.

news.bbc.co.uk

'Exceptional man'

One family's 12-year quest for justice in Cambodia

news.bbc.co.uk

Schools hit by rebuilding delays

The scale of the delays affecting England's school rebuilding project is revealed by a parliamentary question.

news.bbc.co.uk

Civic pride

The local response to the world financial crisis

news.bbc.co.uk

Inflation likely to hit 5% rate

The annual rate of UK inflation is expected to hit 5%, with higher gas and electricity bills causing much of the increase.

news.bbc.co.uk

Exit route

The euthanasia expert advising over-50s on suicide

news.bbc.co.uk

House sales hit new 30-year low

The slump in the property market is worsening, the latest survey from the Royal Institution of Chartered Surveyors says.

news.bbc.co.uk

Mike Baker

Are we asking too much of our teachers?

news.bbc.co.uk

Safe no more

McCain campaign machine struggles in North Carolina

news.bbc.co.uk

Wildcats forward Watene dies

Wakefield prop forward Adam Watene, 31, dies after taking part in a training session.

news.bbc.co.uk

Rhys trial told of suspect threat

The teenager accused of murdering Rhys Jones told a girl the alleged target was going to "get it", a court hears.

news.bbc.co.uk

LA firefighters battle wildfires

Firefighters tackle wildfires near Los Angeles which have caused two deaths, with 12,000 driven from their homes.

news.bbc.co.uk