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» Orthogonal Colorings of Graphs
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VLC
2002
93views more  VLC 2002»
15 years 1 months ago
Metrics for Graph Drawing Aesthetics
Graph layout algorithms typically conform to one or more aesthetic criteria (e.g. minimising the number of bends, maximising orthogonality). Determining the extent to which a grap...
Helen C. Purchase
DCG
2011
14 years 5 months ago
A Celtic Framework for Knots and Links
We describe a variant of a method used by modern graphic artists to design what are traditionally called Celtic knots, which are part of a larger family of designs called “mirro...
Jonathan L. Gross, Thomas W. Tucker
SAT
2009
Springer
117views Hardware» more  SAT 2009»
15 years 8 months ago
Dynamic Symmetry Breaking by Simulating Zykov Contraction
Abstract. We present a new method to break symmetry in graph coloring problems. While most alternative techniques add symmetry breaking predicates in a pre-processing step, we deve...
Bas Schaafsma, Marijn Heule, Hans van Maaren
CORR
2010
Springer
104views Education» more  CORR 2010»
15 years 2 months ago
Coloring translates and homothets of a convex body
We obtain improved upper bounds and new lower bounds on the chromatic number as a linear function of the clique number, for the intersection graphs (and their complements) of fini...
Adrian Dumitrescu, Minghui Jiang
RSA
2008
78views more  RSA 2008»
15 years 1 months ago
How many random edges make a dense hypergraph non-2-colorable?
: We study a model of random uniform hypergraphs, where a random instance is obtained by adding random edges to a large hypergraph of a given density. The research on this model fo...
Benny Sudakov, Jan Vondrák