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» The Last Fraction of a Fractional Conjecture
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APPML
2011
12 years 11 months ago
The fractional chromatic number of Zykov products of graphs
Zykov designed one of the oldest known family of triangle-free graphs with arbitrarily high chromatic number. We determine the fractional chromatic number of the Zykov product of ...
Pierre Charbit, Jean-Sébastien Sereni
OL
2007
118views more  OL 2007»
13 years 4 months ago
A counterexample to the dominating set conjecture
Abstract The metric polytope metn is the polyhedron associated with all semimetrics on n nodes and defined by the triangle inequalities xij − xik − xjk ≤ 0 and xij + xik + x...
Antoine Deza, Gabriel Indik
UAI
2008
13 years 6 months ago
Bounds on the Bethe Free Energy for Gaussian Networks
We address the problem of computing approximate marginals in Gaussian probabilistic models by using mean field and fractional Bethe approximations. As an extension of Welling and ...
Botond Cseke, Tom Heskes
ALGORITHMICA
1998
90views more  ALGORITHMICA 1998»
13 years 4 months ago
Dynamics of the Binary Euclidean Algorithm: Functional Analysis and Operators
We provide here a complete average-case analysis of the binary continued fraction representation of a random rational whose numerator and denominator are odd and less than N. We an...
Brigitte Vallée
CCCG
2007
13 years 6 months ago
A Lower Bound on the Area of a 3-Coloured Disc Packing
Given a set of unit-discs in the plane with union area A, what fraction of A can be covered by selecting a pairwise disjoint subset of the discs? Rado conjectured
Peter Brass, Ferran Hurtado, Benjamin J. Lafrenier...