The precise definition of a combinational property is not easily given, and the subject matter treated in combinatorial theory is often shared by more than one mathematical discipline. Typical in combinatorial theory is the enumeration problem, from which arise various problems such as finding recursive, asymptotic, and congruence relations of solutions.

<http://www.geom.umn.edu/graphics/pix/Special_Topics/Combinatorics/>

PROGRAMMES

Solving combinatoric problems with Prolog

This module wants to make clear how to use Prolog for solving problems easily.

<http://www.htw-dresden.de/~logic/ai/combinatoric/content.htm>

THÈSES - THESIS

Fonctions symÃ©triques non commutatives.

Ung Bun-Chan-Vorac

<http://schubert.univ-mlv.fr/~ung/ARTICLES/these.ps.gz>

LIVRES - BOOKS

Analytic Combinatorics (Chapters I,II,III,IV,V,VI,VII,VIII,IX)

Philippe Flajolet

This booklet represents a set of lecture notes that are a component of a book project titled Analytic Combinatorics. The goal is to provide a unified treatment of analytic methods in combinatorics.

<http://algo.inria.fr/flajolet/Publications/publist.html>

The LEDA Platform of Combinatorial and Geometric Computing

K. Mehlhorn and St. NÃ¤her Cambridge University Press, 1999.

<http://www.mpi-sb.mpg.de/~mehlhorn/LEDAbook.html>

SUJETS - SUBJECTS

Permutation Patterns

The Electronic Journal of Combinatorics.

<http://www.combinatorics.org/Volume_9/v9i2toc.html>

DOCUMENTS - PAPERS

Doron Zeilberger 's Articles

<http://www.math.temple.edu/~zeilberg/papers1.html>

Combinatorial optimization algorithms

O.C. Martin

Local search, simulated annealing, iterated local search, genetic algorithms, renormalization, multi-level, parallel and distributed computation, PVM.

<http://ipnsua.in2p3.fr/~lptms/membres/martino/co.html>

download the book "A=B"

Home Page for the Book "A=B" by Marko Petkovsek, Herbert Wilf and Doron Zeilberger

<http://www.cis.upenn.edu/~wilf/Downld.html>

List of C. Krattenthaler's papers

<http://www.mat.univie.ac.at/People/kratt/papers.html>

A Curious Identity Involving Binomial Coefficients

Zhi-Wei Sun

A Generating Functions Proof of a Curious Identity Alois Panholzer and Helmut Prodinger

<http://www.integers-ejcnt.org/vol2.html>

Counting occurrences of some subword patterns A. Burstein, T. Mansour

9 pages math.CO/0204320 Mon, 29 Apr 2002 ps

<http://arXiv.org/list/math.CO/recent>

Matrices hermitiennes et convexitÃ© (M. Audin). Polytopes convexes entiers (M. Brion). Construction de courbes rÃ©elles (J.-J. Risler). Volumes mixtes des corps convexes (B. Teissier)

<http://math.polytechnique.fr/xups/vol95.html>

from harmonic analysis to arithmetic combinatorics

Izabella Laba

<http://www.ams.org/bull/2008-45-01/S0273-0979-07-01189-5/S0273-0979-07-01189-5.pdf>

JOURNAUX - LETTERS

The Electronic Journal of Combinatorics

<http://www.combinatorics.org/ejc-wce.html>

COURS - COURSES

<http://fastnet.univ-brest.fr/~gire/COURS/OPTION/POLY.html>

Notes on counting

Peter Cameron School of Mathematical Sciences at Queen Mary, University of London.

<http://www.maths.qmw.ac.uk/~pjc/notes/counting.pdf>

Combinatorial functional Analysis

Charles Morgan

(Updated March 2001.) A short course on Gowers's dichotomy theorem for Banach spaces set in the context of forcing and descriptive set theory.

<http://www.ucl.ac.uk/~ucahcjm/leeds/leeds.ps>

MANUELS - MANUALS

The LEDA User Manual

<http://www.mpi-sb.mpg.de/LEDA/MANUAL/MANUAL.html>

QUESTIONS - FAQ

Leda FAQ

<http://data.mpi-sb.mpg.de/ledafaq>

LIENS - LINKS

<liens_arithm.html>

Software, books, lecture notes, etc. of interest to combinatorialists

<http://www.combinatorics.org/Software/index.html>

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