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» The Integer Hull of a Convex Rational Polytope
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MP
1998
108views more  MP 1998»
13 years 4 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
12 years 12 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
13 years 9 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...