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Katolog > Science > Math > Combinatorics > Graph Theory


Graph Theory, as a branch of Combinatorics, MSC classification 05Cxx.
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Links:

Regular Graphs Page
http://www.mathe2.uni-bayreuth.de/markus/reggraphs.html

Regular Graphs Page

Tables of simple connected k-regular graphs on n vertices and girth at least g.
www.mathe2.uni-bayreuth.de/markus/reggraphs.html
The Four Color Theorem
http://www.math.gatech.edu/~thomas/FC/fourcolor.html

The Four Color Theorem

Computer aided proof of the four color theorem by Neil Robertson, Daniel P. Sanders, Paul Seymour and Robin Thomas.
www.math.gatech.edu/~thomas/FC/fourcolor.html
Graphs: Theory-Algorithms-Complexity
http://people.freenet.de/Emden-Weinert/graphs.html

Graphs: Theory-Algorithms-Complexity

Resource collection maintained by Thomas Emden-Weinert.
people.freenet.de/Emden-Weinert/graphs.html
Sandpiles in Graphs
http://www.cs.wvu.edu/~angela/cs418a/cs418a.html

Sandpiles in Graphs

An application of cellular automata by Angela R. Kerns.
www.cs.wvu.edu/~angela/cs418a/cs418a.html
Network Resources for Colouring a Graph
http://mat.gsia.cmu.edu/COLOR/color.html

Network Resources for Colouring a Graph

Resources for formulating and solving coloring problems.
mat.gsia.cmu.edu/COLOR/color.html
Signed, Gain and Biased Graphs
http://www.math.binghamton.edu/zaslav/Bsg/

Signed, Gain and Biased Graphs

List of publications and manuscripts annotated by Thomas Zaslavsky.
www.math.binghamton.edu/zaslav/Bsg
Multicommodity Problems
http://www.di.unipi.it/di/groups/optimize/Data/MMCF.html

Multicommodity Problems

Instances and random generators of multicommodity flow and network design problems.
www.di.unipi.it/di/groups/optimize/Data/MMCF.html
Graphnet Archives
http://listserv.nodak.edu/archives/graphnet.html

Graphnet Archives

Archives of the Graphnet mailing list from February 1990.
listserv.nodak.edu/archives/graphnet.html
Other Graph Theory and Related Pages
http://www.math.fau.edu/locke/graphoth.htm

Other Graph Theory and Related Pages

Miscellaneous pages collected by Stephen C. Locke.
www.math.fau.edu/locke/graphoth.htm
Four Colour Theorem
http://www.geocities.com/dharwadker/

Four Colour Theorem

A new proof of the four color theorem by Ashay Dharwadker that uses group theory and Steiner systems.
www.geocities.com/dharwadker
Graph Colorings with Local Constraints
http://www.pz.zgora.pl/discuss/gt/17_2/g1.htm

Graph Colorings with Local Constraints

A survey by Zsolt Tuza.
www.pz.zgora.pl/discuss/gt/17_2/g1.htm
A Journey through Intersection Graph County
http://www.math.uni-hamburg.de/spag/gd/mitarbeiter/prisner/Pris/Rahmen.html

A Journey through Intersection Graph County

By Erich Prisner.
www.math.uni-hamburg.de/../../../prisner/Pris/Rahmen.html
The Hamiltonian Page
http://www.densis.fee.unicamp.br/~moscato/Hamilton.html

The Hamiltonian Page

Hamiltonian cycle and path problems, their generalisations and variations.
www.densis.fee.unicamp.br/~moscato/Hamilton.html
Getgrats: General Theory of Graph Transformation Systems
http://www.di.unipi.it/~andrea/GETGRATS/

Getgrats: General Theory of Graph Transformation Systems

A research network funded by the European Commission.
www.di.unipi.it/~andrea/GETGRATS
A Survey of Distance-Transitive Graphs
http://www.win.tue.nl/~amc/oz/dtg/survey.html

A Survey of Distance-Transitive Graphs

By Arjeh M. Cohen.
www.win.tue.nl/~amc/oz/dtg/survey.html
Knight's Tour Problem
http://www.tri.org.au/knightframe.html

Knight's Tour Problem

Solution for chess boards with upto 32 squares.
www.tri.org.au/knightframe.html
TSP Generator
http://www.sju.edu/~sforman/research/usa_tsp.html

TSP Generator

Generates a Traveling Salesman Problem map and data for a given set of US cities.
www.sju.edu/~sforman/research/usa_tsp.html
A Constructive Approach to Graph Theory
http://www.hot.ee/tewet/

A Constructive Approach to Graph Theory

Notes on a semiotic approach to constructing isomorphism invariants of graphs by John-Tagore Tevet.
www.hot.ee/tewet
Fractal Instances of the Traveling Salesman Problem
http://www.ing.unlp.edu.ar/cetad/mos/FRACTAL_TSP_home.html

Fractal Instances of the Traveling Salesman Problem

By Pablo Moscato.
www.ing.unlp.edu.ar/cetad/mos/FRACTAL_TSP_home.html
Harmonious Colourings
http://www.mcs.dundee.ac.uk/~kedwards/harmcol.html

Harmonious Colourings

Notes and bibliography by Keith Edwards.
www.mcs.dundee.ac.uk/~kedwards/harmcol.html
Thrackles
http://www.users.globalnet.co.uk/~perry/maths/thrackle/thrackle.htm

Thrackles

Jon Perry's pages on the thrackle conjecture.
www.users.globalnet.co.uk/~perry/maths/thrackle/thrackle.htm
From the Even Cycle Mystery to the L-Matrix Problem and Beyond
http://spider.ipac.caltech.edu/staff/brundage/presents/thesis/

From the Even Cycle Mystery to the L-Matrix Problem and Beyond

By Michael Brundage.
spider.ipac.caltech.edu/staff/brundage/presents/thesis
Benchmarks with Hidden Optimum Solutions for Graph Problems
http://www.nlsde.buaa.edu.cn/~kexu/benchmarks/graph-benchmarks.htm

Benchmarks with Hidden Optimum Solutions for Graph Problems

Datasets in DIMACS graph format for Independent Set, Vertex Cover, Clique and Vertex Coloring problems.
www.nlsde.buaa.edu.cn/~kexu/benchmarks/graph-benchmarks.htm
Hamiltonian Circuit Algorithm
http://www.geocities.com/dharwadker/hamilton/

Hamiltonian Circuit Algorithm

A new algorithm for finding Hamiltonian circuits with a constructive proof of Dirac's theorem and applications to finding Knight's Tours by Ashay Dharwadker.
www.geocities.com/dharwadker/hamilton
Counting Hamilton Cycles in Product Graphs
http://home.planet.nl/~faase009/counting.html

Counting Hamilton Cycles in Product Graphs

By Frans Faase.
home.planet.nl/~faase009/counting.html

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