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The Combinatorics Net
The Combinatorics net
http://www.combinatorics.net/
Maintained by Bill Chen.
browser, couldn, combinatorics
(SLD : combinatorics.net)
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ArXiv Front: CO Combinatorics
Front: math.CO Combinatorics
http://front.math.ucdavis.edu/math.CO
Combinatorics section of the Front for the Mathematics ArXiv.
january, december, september, october, november, february, august, search, articles, spheres, arithm etic, submodular, matrices, search, combinatorics, calendar, questions, daniel, downloading, contact , submitting, prints, comments, primary, secondary, samorodnitsky, eidelstein, factoring, product, p ermutation, spaces, symmetric, statistic, wilson, designs, bounds, tridiagonal, michael, aichholzer, aurenhammer, ferran, demaine, polygons, convex, frederic, martianus, samson, ezerman, listings, per mutation, mahonian
ucdavis.edu - rank der domain 7060 (2645 in US)
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Enumeration of the Binary Trees
Ivan Galkin
http://ulcar.uml.edu/~iag/CS/Catalan.html
A note on Catalan numbers by Ivan Galkin.
number, sequence, coefficients, expression, subtrees, binary, configurations, possible, subtree, inv alid, formula, function, numbers, generating, useful, following, either, further, analysis, assuming , accurately, substituting, rewrite, brackets, claimed, regretfully, configuration, differ, therefor e, always, expressed, expresses, depending, varies, problem, specifics, analyzing, interested, varia ble, formal, purely, studying, building, binary, convergence, series, respect, integers, certain, ca talan, construct
uml.edu - rank der domain 67673 (25886 in US)
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Science/Math/Combinatorics
Science/Math/Combinatorics
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The Combinatorial Object Server
The Object Server Home Page (COS)
http://www.theory.csc.uvic.ca/~cos/
Select a type together with specific parameter values and COS will return a list of all such combina torial objects.
The (Combinatorial) Object Server: A mathematical tool for producing lists of combinatorial objects.
mathematics, combinatorics, list generate combinatorial object, lexicographic, Gray code, permutatio n, combination, tree, numerical partition, set partition, graph, Towers of Hanoi, pentomino puzzle, n-Queens problem, necklace, DeBruijn sequence
objects, object, information, output, combinatorial, specify, appears, generate, permutations, param eter, program, programs, called, construction, combinations, various, corresponding, values, generat ion, always, number, parameters, object, options, bottom, available, something, algorithm, option, o utput, tables, algorithms, following, please, clicking, sloane, sequences, computation, constant, am ount, encyclopedia, property, integer, students, useful, representations, partitions, linear, variet y, extensions, educators
uvic.ca - rank der domain 20319 (224 in CA)
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Topics in Mathematics - Combinatorics
Mathematics Archives - Topics in Mathematics - Combinatorics
http://archives.math.utk.edu/topics/combinatorics.html
In the Mathematics Archive at University of Tennessee, Knoxville.
keywords, combinatorics, permutations, combinatorial, mathematics, partitions, graphs, software, sou rce, mathematical, combinations, problem, theory, signed, designs, preprints, sequences, squares, fi nite, topics, geometries, database, university, actions, electronic, journals, algorithms, matroids, permutation, numbers, bibliography, documenta, mathematica, object, seminars, multiset, technology, encyclopedia, subsets, structures, course, volume, international, learning, congress, proceedings, articles, centre, section, discrete, theorem
utk.edu - rank der domain 15128 (5580 in US)
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Extremal Combinatorics
Extremal Combinatorics
http://www.thi.informatik.uni-frankfurt.de/~jukna/EC_Book/
With Applications in Computer Science by Stasys Jukna.
Web page supporting the book Extremal Combinatorics: list of misprints, further exercises and pro blems, links, etc.
Mathematics of Computing; Combinatorial Mathematics, Graph Theory and Discrete Mathematics; T heory of Computation
springer, amazon, exercises, essentially, combinatorics, extremal, contents, additional, topics, cur rently, edition, japanese, modified, preparation, translated, preface, errata, fragments, extracted, reviews, german, monograph, following, problems, english, solutions, google, related, material, int roduction, science, computer, applications, guests, eacute, contributed, theorem, ramsey, heidelberg , information, ordering, barnes, verlag, preview
uni-frankfurt.de - rank der domain 23714 (1156 in DE)
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Encyclopedia of Combinatorial Structures
Encyclopedia of Combinatorial Structures (Introduction)
http://algo.inria.fr/encyclopedia/
Searchable database of structures with specifications and counts.
(none)
(none)
background, border, button, yellow, margin, introduction, combinatorial, structures, center, encyclo pedia, oblique, height, consistent, centered, colors, research, welcome, classes, requested, written , originally, applications, internships, examples, topics, publications, people, search, submit, sof tware, seminars, weight, decoration, inactive, justify, column, current, variant, footer, changed, f ollowing, banner
inria.fr - rank der domain 27580 (855 in FR)
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Algebraic Combinatorics via Finite Group Actions
Algebraic Combinatorics
http://www.mathe2.uni-bayreuth.de/frib/html/book/hyl00.html
A hypertext by A. Betten, H. Fripertinger and A. Kerber.
exercises, classes, symmetry, actions, groups, margin, examples, orbits, symmetric, enumeration, par adigmatic, monomial, conjugacy, finite, action, theorem, subsets, combinatorics, algebraic, center, frobenius, cosets, abstract, cauchy, mathematik, weight, january, principle, problems, congruences, induced, execises, polynomials, indicator, involution, action, graphs, special, involution, injectiv e, bijection, inclusion, exclusion, garsia, surjective, various, weights, graphs, selfcomplementary, numbers, involutions
uni-bayreuth.de - rank der domain 95009 (4982 in DE)
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Science/Math/Combinatorics
Science/Math/Combinatorics
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A Survey of Venn Diagrams
A Survey of Venn Diagrams
http://www.combinatorics.org/Surveys/ds5/VennEJC.html
Various facts and figures about Venn diagrams by Frank Ruskey.
Venn Diagram Survey: combinatorial facts, beautiful figures, n=3 and beyond
Venn diagram, John Venn, hypercube
diagrams, diagram, symmetric, minimum, victoria, symmetric, symmetry, construction, survey, figures, following, february, journal, electronic, combinatorics, appeared, authors, diagrams, references, v ariations, acknowledgements, footnotes, problems, generalizations, extensions, proportional, exposur e, triangles, convexity, generalizing, appears, relaxations, parameters, symmetry, without, written, permission, unless, otherwise, received, august, current, edition, editions, previous, particular, rosette, clicking, called, follow, before
(SLD : combinatorics.org)
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G-Systems
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.
An algebraic theory of chord structures
music theory, harmony, G-system, musical structures, chord structures, class, instance, algorithmic composition, algebraic theory, triangle, Fermat, Gauss, Polya, Pascal, mathematics and music
numbers, relation, instance, classes, system, instances, number, systems, theory, window, transposit ions, number, systems, called, document, appname, navigator, musical, instance, elements, members, e numeration, groups, definitions, elementary, representative, generation, marked, eratosthenes, struc tures, algebraic, simple, algorithm, transposition, 000000, indexof, outline, natural, primes, separ ating, similar, representatives, degree, distinguish, result, analogies, equivalence, multiples, sep arate, defined, follows
sweb.cz - rank der domain 44552 (205 in CZ)
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Combinatorial Data
Combinatorial Data
http://cs.anu.edu.au/~bdm/data/
Brendan McKay's collection of miscellaneous tables in graph6 or sparse6 format.
graphs, squares, various, diagrams, greechie, extension, formats, contains, tournaments, combinatori al, classified, plantri, imbedded, hypohamiltonian, ramsey, regular, planar, complementary, diameter , acyclic, lattices, strongly, orthomodular, hypercubes, locally, transitive, represent, physics, pa rticular, master, directed, digraphs, directed, quantum, available, hypergraph, brendan, collection, catalogue, gordon, moment, necessarily, proper, holder, organization, currently, combinatorial, scr aps, breakfast, unless, otherwise
anu.edu.au - rank der domain 17051 (97 in AU)
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Catalogue of Lattices
Index to 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 .
lattice, lattices, lattices, modular, unimodular, dimensional, extremal, hurwitzian, subgroups, dime nsional, finite, maximal, finite, quaternionic, laminated, lambda, matrix, format, strongly, groups, extremal, bachoc, plesken, version, lambda16, laminated, minimal, barnes, lambda15, rational, lambd a14, lambda17, memoir, digonal, quadratic, orthorhombic, quebbemann, borcherds, ternary, centered, c oxeter, algebra, determinant, otimes, lambda13, kappa8, lambda12, minimum, integral, lambda18, kappa 9
att.com - rank der domain 373 (171 in US)
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The Math Forum Math Library - Combinatorics
The Math Forum - Math Library - Combinatorics
http://mathforum.org/library/topics/combinatorics/
Comprehensive catalog of websites relating to Combinatorics.
The Math Forum's Internet Math Library is a comprehensive catalog of Web sites and Web pages relati ng to the study of mathematics. This page contains sites relating to Combinatorics.
objects, combinatorics, object, combinatorics, combinatorial, library, combinations, combinatorial, mathematical, partitions, permutations, factory, elementary, number, fields, subject, aspects, inclu de, students, server, sussex, sequences, possible, discrete, parameters, squares, canada, designed, educators, counting, annals, related, finite, conference, software, subsets, ruskey, mathematikprogr amm, object, amazing, search, category, mathematical, shareware, informal, program, windows, mathpag es, german, factorial, system
mathforum.org - rank der domain 33366 (12508 in US)
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Generating Functions
Definitions and Examples: Generating Functions
http://www.cut-the-knot.org/blue/GeneratingFunctions.shtml
Introduction to generating functions with interactive java applets by Alexander Bogomolny.
Generating Functions: definitions and examples. A generating function is a clothesline on which we h ang up a sequence of numbers for display
generating functions, generating function, binomial corfficients, formal series
series, middot, generating, function, numbers, binomial, coefficients, formal, sequence, example, in verse, theorem, google, substitution, equation, generating, examples, functions, document, addthis, number, theory, analytic, property, factors, select, expression, parents, product, multiplicative, m ultiplication, formula, representation, either, identity, finite, operation, second, result, wheneve r, geometry, further, personal, functions, another, obtain, establish, clothesline, recommend, conta ct, generatingfunctionology
cut-the-knot.org - rank der domain 139726 (53809 in US)
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On-line Dictionary of Combinatorics
On-line Dictionary of Combinatorics
http://www.southernct.edu/~fields/comb_dic/
An expanding web text by Joe Fields.
dictionary, combinatorics, fieldsj1, expanded, revised, corrected, document, living, frequently, req uests, southernct, should, entries, corrections
southernct.edu - rank der domain 217930 (81627 in US)
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Series Expansions
Series Expansions - Iwan Jensen
http://www.ms.unimelb.edu.au/~iwan/Series.html
Iwan Jensen counts polyominoes (aka lattice animals), paths, and various related quantities.
jensen, expansions, series
unimelb.edu.au - rank der domain 17413 (99 in AU)
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Lectures in Combinatorics
Lectures in Combinatorics
http://www.freewebs.com/desargues/combinatorics.htm
An introduction to partially ordered sets, Dilworth's theorem, lattices and combinatorial geometries .
An introduction to partially ordered sets, Dilworth's theorem, lattices and combinatorial geometries .
lattice, projective, elements, chains, antichain, called, element, points, geometric, ordered, disjo int, theorem, finite, number, lattices, distinct, maximal, subsets, decomposition, consider, unique, posets, dilworth, covers, dimensional, minimum, planes, subset, partially, inclusion, define, exerc ise, example, cannot, infinite, contains, obtain, induction, squares, values, determine, exactly, de fine, certain, denoted, combinatorial, subspaces, semimodular, atomic, vector, geometry
freewebs.com - rank der domain 3719 (1422 in US)
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The Cutting Sticks Problem
The cutting sticks problem
http://www.iwriteiam.nl/cutsticks.html
An unsolved combinatorial problem by Frans Faase.
sticks, problem, length, cutting, number, subject, summing, possible, newsgroups, numbers, organizat ion, puzzle, solution, partition, algorithm, puzzles, formed, partitions, problems, longest, univers ity, general, leaving, partitioning, smallest, remaining, always, enough, original, induction, metho d, difficult, solved, special, obtained, knapsack, conjecture, lengths, considered, already, program , contain, nearly, counterexample, subsets, unfortunately, exists, natural, sequences, slightly, cut ting
iwriteiam.nl - rank der domain 976773 (16859 in NL)
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Combinatorics
Combinatorics -- from Wolfram MathWorld
http://mathworld.wolfram.com/Combinatorics.html
MathWorld article with basic definitions and links.
combinatorics, combinatorial, mathematics, theory, cambridge, wolfram, mathworld, university, introd uction, discrete, analysis, algorithms, theorem, combinatorics, applied, england, handbook, mathemat ica, academic, partial, research, problem, interactive, problems, mathematical, encyclopedia, algebr aic, enumeration, concrete, principle, calculus, structures, functions, mcgraw, geometry, number, ki rkman, providence, riordan, approach, techniques, dinitz, window, design, stinson, enumeration, weis stein, mathematics, demonstrations, entries, chicago
wolfram.com - rank der domain 7843 (2985 in US)
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Polya's Enumeration Theorem
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.
Math reference, Polya's enumeration theorem.
polya's enumeration theorem
buckets, bucket, arrangements, function, generating, number, problem, integers, second, counting, ar rangement, unlabeled, positive, permutation, written, coefficients, theorem, functions, assume, func tions, enumeration, theorem, difficult, distinct, really, induction, orbits, follows, possibilities, significant, interchange, biography, permutations, element, result, dimensional, remember, combinat ions, partitions, similar, generating, cycles, harder, unordered, consider, actions, considered, rel ation, leaves, identity, objects
mathreference.com - rank der domain 986197 (423658 in US)
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Counting Young Tableaux
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.
Young, tableaux, height, enumeration
differential, equations, linear, bounded, coefficients, recurrences, recursive, diagram, partition, following, height, sequences, gessel, follows, conjectures, easily, however, expressions, functions, tableaux, polynomial, recurrence, computer, favreau, equation, tableaux, positive, generating, simp lify, integer, example, formulas, sequence, become, rapidly, proposition, standard, result, height, finite, closed, satisfies, counting, package, equivalent, bounded, functions, setting, satisfy, corr esponding, tableau
uqam.ca - rank der domain 34691 (420 in CA)
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Squared Squares
Squaring.net
http://www.squaring.net/
Tilings of squares and rectangles, the classical problem and variations.
tiling, 959082, urchintracker, squares, triangles, history, search, squaring, squaring, theory, down loads
(SLD : squaring.net)
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The Seventeen Wallpaper Groups
Seventeen Kinds of Wallpaper Patterns
http://mathmuse.sci.ibaraki.ac.jp/pattrn/PatternE.html
Examples in traditional Japanese patterns.
patterns, tsunagi, rotations, japanese, traditional, shikan, degrees, yakata, kasane, pattern, binga ta, kinran, connected, kabuki, objects, yoshiwara, mitsudomoe, rokuyata, takeda, bisyamon, examples, repeated, without, example, costumes, professor, asanoha, kagome, utaemon, nakamura, mathematical, texture, wallpaper, seventeen, stripes, weaving, patterns, method, carapace, tortoise, seventeen, sa yagata, seikaiha, handle, stirpes, basket, buddhist, treasure, lattice, rhombus, character
(SLD : ac.jp)
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Enumeration of Polyhedra
Enumeration of Polyhedra
http://www.uwgb.edu/dutchs/symmetry/polynum0.htm
Enumeration of polyhedra with up to 9 faces by Steven Dutch.
enneahedra, vertices, polyhedra, vertices, octahedra, return, convenience, broken, access, enumerati on, petrology, mineralogy, materials, symmetry, crustal, natural, applied, recreational, steven, mat hematics, december, official, professor, created, sciences, return, disclaimer, several, respectivel y, please, visitors, enumerated, completely, wisconsin, university, numerous
uwgb.edu - rank der domain 112614 (42575 in US)
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A=B
The Book "A=B"
http://www.cis.upenn.edu/~wilf/AeqB.html
Downloadable combinatorics text by Marko Petkovsek, Herbert Wilf and Doron Zeilberger. Published by A. K. Peters.
programs, identities, computer, authors, review, hypergeometric, anyone, written, algorithms, exposi tion, through, zeilberger, material, errata, mathematics, complete, audience, methods, binomial, mat hematical, mathematicians, accessible, efforts, remarkable, helpful, problem, largely, readers, cont ributions, research, interesting, counts, fascinating, breakthrough, researchers, university, intere sted, australian, expository, course, subject, examples, finding, series, within, automation, univer sity, discover, reading, current, particular
upenn.edu - rank der domain 2867 (1111 in US)
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A New Proof of the Four Colour Theorem
Four Color Theorem
http://www.dharwadker.org/
By Ashay Dharwadker. Includes profile, research papers for other algorithms, lecture notes, and stud ent database.
A New Proof of The Four Color Theorem by Ashay Dharwadker. Copyright (C) 2000. All rights reserved.
Ashay Dharwadker, Four Color Theorem, Four Colour Theorem
theorem, reserved, colour, geovisit, theorem, rights, copyright, dharwadker
(SLD : dharwadker.org)
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