Graph Theory

Capillary Multi-Path Routing in a Network of a Directed Symmetric Graph
By Emin Gabrielyan.
http://switzernet.com/people/emin-gabrielyan/060124-capillary-aron-article/

Combinatorial Optimisation of Worm Propagation
By Eric Filiol, Edouard Franc, Alessandro Gubbioli, Benoit Moquet and Guillaume Roblot.
http://vx.netlux.org/lib/aef05.html

A Constructive Approach to Graph Theory
Notes on a semiotic approach to constructing isomorphism invariants of graphs by John-Tagore Tevet.
http://www.hot.ee/tewet/

Counting Hamilton Cycles in Product Graphs
By Frans Faase.
http://www.iwriteiam.nl/counting.html

The Four Color Theorem
Computer aided proof of the four color theorem by Neil Robertson, Daniel P. Sanders, Paul Seymour and Robin Thomas.
http://www.math.gatech.edu/~thomas/FC/fourcolor.html

Fractal Instances of the Traveling Salesman Problem
By Pablo Moscato.
http://www.ing.unlp.edu.ar/cetad/mos/FRACTAL_TSP_home.html

From the Even Cycle Mystery to the L-Matrix Problem and Beyond
By Michael Brundage.
http://spider.ipac.caltech.edu/staff/brundage/presents/thesis/

Getgrats: General Theory of Graph Transformation Systems
A research network funded by the European Commission.
http://www.di.unipi.it/~andrea/GETGRATS/

Graphnet Archives
Archives of the Graphnet mailing list from February 1990.
http://listserv.nodak.edu/archives/graphnet.html

The Hamiltonian Page
Hamiltonian cycle and path problems, their generalisations and variations.
http://www.densis.fee.unicamp.br/~moscato/Hamilton.html

Harmonious Colourings
Notes and bibliography by Keith Edwards.
http://www.maths.dundee.ac.uk/~kedwards/harmcol.html

Knight's Tour Problem
Solution for chess boards with upto 32 squares.
http://www.tri.org.au/knightframe.html

Liquid Schedule Construction Algorithm
An efficient method for coloring a congestion graph by Emin Gabrielyan.
http://4z.com/people/emin-gabrielyan/public/060811-liquid-schedule/

MERLIN
An approach to solve the asymmetric travelling salesman problem using linear optimisation with a polynomial bounded set of constraints.
http://www.merlins-world.de

Multicommodity Problems
Instances and random generators of multicommodity flow and network design problems.
http://www.di.unipi.it/di/groups/optimize/Data/MMCF.html

Network Resources for Colouring a Graph
Resources for formulating and solving coloring problems.
http://mat.gsia.cmu.edu/COLOR/color.html

Other Graph Theory and Related Pages
Miscellaneous pages collected by Stephen C. Locke.
http://www.math.fau.edu/locke/graphoth.htm

Parameters of Directed Strongly Regular Graphs
Parameters, constructions and nonexistence information for directed strongly regular graphs.
http://homepages.cwi.nl/~aeb/math/dsrg/dsrg.html

Regular Graphs Page
Tables of simple connected k-regular graphs on n vertices and girth at least g.
http://www.mathe2.uni-bayreuth.de/markus/reggraphs.html

Sandpiles in Graphs
An application of cellular automata by Angela R. Kerns.
http://www.cs.wvu.edu/~angela/cs418a/cs418a.html

Signed, Gain and Biased Graphs
List of publications and manuscripts annotated by Thomas Zaslavsky.
http://www.math.binghamton.edu/zaslav/Bsg/

Spectral Graph Theory
People, publications, research topics, open problems, events and resources.
http://www.sgt.pep.ufrj.br/

A Survey of Distance-Transitive Graphs
By Arjeh M. Cohen.
http://www.win.tue.nl/~amc/oz/dtg/survey.html

Traveling Salesman Problem
These pages report the history of the TSP and ongoing work to solve large instances.
http://www.tsp.gatech.edu//

TSP Generator
Generates a Traveling Salesman Problem map and data for a given set of US cities.
http://www.sju.edu/~sforman/research/usa_tsp.html