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Packing ellipsoids with overlap
ellipsoid packing, trust-region algorithm, semide nite programming, chromosome territories
2012/4/17
The problem of packing ellipsoids of different sizes and shapes into an ellipsoidal container so as to minimize a measure of overlap between ellipsoids is considered. A bilevel optimization formulatio...
Edge-Colouring Hypergraphs Properly (Covering with Matchings) or Polychromatically (Packing Covers)
Edge-Colouring Hypergraphs Properly Polychromatically
2010/12/15
Let the chromatic index of a hypergraph be the smallest number of colours needed to colour the
edges such that similarly-coloured edges are disjoint. Likewise, let the cover index be the maximum numb...
The densest local packings of N three-dimensional identical nonoverlapping spheres within a
radius Rmin(N) of a fixed central sphere of the same size are obtained for selected values of N up to N = 1...