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» The Integer Hull of a Convex Rational Polytope
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MP
1998
108views more  MP 1998»
14 years 9 months ago
Base polytopes of series-parallel posets: Linear description and optimization
We define the base polytope B(P, g) of a partially ordered set P and a supermodular function g on the ideals ofP as the convex hull of the incidence vectors of all linear extensio...
Rainer Schrader, Andreas S. Schulz, Georg Wambach
MP
2011
14 years 4 months ago
An FPTAS for minimizing the product of two non-negative linear cost functions
We consider a quadratic programming (QP) problem (Π) of the form min xT Cx subject to Ax ≥ b where C ∈ Rn×n + , rank(C) = 1 and A ∈ Rm×n , b ∈ Rm . We present an FPTAS ...
Vineet Goyal, Latife Genç Kaya, R. Ravi
RECOMB
1997
Springer
15 years 2 months ago
A branch-and-cut algorithm for multiple sequence alignment
Multiple sequence alignment is an important problem in computational biology. We study the Maximum Trace formulation introduced by Kececioglu [?]. We first phrase the problem in ...
Knut Reinert, Hans-Peter Lenhof, Petra Mutzel, Kur...