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DCG
2011
12 years 11 months ago
The Expected Genus of a Random Chord Diagram
To any generic curve in an oriented surface there corresponds an oriented chord diagram, and any oriented chord diagram may be realized by a curve in some oriented surface. The gen...
Nathan Linial, Tahl Nowik
DCG
2011
12 years 11 months ago
New Classes of Counterexamples to Hendrickson's Global Rigidity Conjecture
We examine the generic local and global rigidity of various graphs in Rd . Bruce Hendrickson showed that some necessary conditions for generic global rigidity are (d + 1)-connected...
Samuel Frank, Jiayang Jiang
DCG
2011
12 years 7 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
DCG
2011
12 years 11 months ago
Small Grid Embeddings of 3-Polytopes
We introduce an algorithm that embeds a given 3-connected planar graph as a convex 3-polytope with integer coordinates. The size of the coordinates is bounded by O(27.55n ) = O(18...
Ares Ribó Mor, Günter Rote, Andr&eacut...