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» The Integer Hull of a Convex Rational Polytope
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CPAIOR
2007
Springer
13 years 10 months ago
The Linear Programming Polytope of Binary Constraint Problems with Bounded Tree-Width
We show how to efficiently model binary constraint problems (BCP) as integer programs. After considering tree-structured BCPs first, we show that a Sherali-Adams-like procedure r...
Meinolf Sellmann, Luc Mercier, Daniel H. Leventhal
CORR
2008
Springer
130views Education» more  CORR 2008»
13 years 4 months ago
Convex Hull of Arithmetic Automata
Abstract. Arithmetic automata recognize infinite words of digits denoting decompositions of real and integer vectors. These automata are known expressive and efficient enough to re...
Jérôme Leroux
COMPGEOM
2007
ACM
13 years 8 months ago
On the hardness of minkowski addition and related operations
For polytopes P, Q Rd we consider the intersection P Q; the convex hull of the union CH(P Q); and the Minkowski sum P + Q. We prove that given rational H-polytopes P1, P2, Q it...
Hans Raj Tiwary
CC
2004
Springer
115views System Software» more  CC 2004»
13 years 10 months ago
Periodic Polyhedra
This paper presents a new method for computing the integer hull of a parameterized rational polyhedron by introducing the concept of periodic polyhedron. Besides concerning general...
Benoît Meister