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JCT
2007
78views more  JCT 2007»
13 years 4 months ago
Semisymmetric graphs from polytopes
Every finite, self-dual, regular (or chiral) 4-polytope of type {3, q, 3} has a trivalent 3-transitive (or 2-transitive) medial layer graph. Here, by dropping self-duality, we ob...
Barry Monson, Tomaz Pisanski, Egon Schulte, Asia I...
ISSAC
2005
Springer
107views Mathematics» more  ISSAC 2005»
13 years 10 months ago
Symmetric and semisymmetric graphs construction using G-graphs
Symmetric and semisymmetric graphs are used in many scientific domains, especially parallel computation and interconnection networks. The industry and the research world make a h...
Alain Bretto, Luc Gillibert, Bernard Laget
DCG
2007
125views more  DCG 2007»
13 years 4 months ago
Alcoved Polytopes, I
The aim of this paper is to initiate the study of alcoved polytopes, which are polytopes arising from affine Coxeter arrangements. This class of convex polytopes includes many clas...
Thomas Lam, Alexander Postnikov
ORL
2008
101views more  ORL 2008»
13 years 4 months ago
Gear composition and the stable set polytope
We present a new graph composition that produces a graph G from a given graph H and a fixed graph B called gear and we study its polyhedral properties. This composition yields cou...
Anna Galluccio, Claudio Gentile, Paolo Ventura
DISOPT
2006
110views more  DISOPT 2006»
13 years 4 months ago
New facets of the STS polytope generated from known facets of the ATS polytope
While it was known for a long time how to transform an asymmetric traveling salesman problem on the complete graph with n vertices into a symmetric traveling salesman problem on a...
Egon Balas, Robert Carr, Matteo Fischetti, Neil Si...