@inproceedings{GroetschelJuengerReinelt1987, author = {Gr{\"o}tschel, Martin and J{\"u}nger, Michael and Reinelt, Gerhard}, title = {Calculating Exact Ground States of Spin Glasses}, booktitle = {Proceedings of the Heidelberg Colloquium on "Glassy Dynamics", Lecture Notes in Physics 275}, editor = {van Hemmen, J. and Morgenstern, I.}, publisher = {Springer}, pages = {325 -- 353}, year = {1987}, language = {en} } @article{BarahonaGroetschelJuengeretal.1988, author = {Barahona, Francisco and Gr{\"o}tschel, Martin and J{\"u}nger, Michael and Reinelt, Gerhard}, title = {An application of combinatorial optimization to statistical physics and circuit layout design}, volume = {36}, journal = {Operations Research}, number = {3}, pages = {493 -- 513}, year = {1988}, language = {en} } @article{GroetschelJuengerReinelt1989, author = {Gr{\"o}tschel, Martin and J{\"u}nger, Michael and Reinelt, Gerhard}, title = {Via Minimization with Pin Preassignments and Layer Preference}, volume = {69}, journal = {ZAMM - Zeitschrift f{\"u}r Angewandte Mathematik und Mechanik}, number = {11}, pages = {393 -- 399}, year = {1989}, language = {en} } @article{GroetschelJuengerReinelt1984, author = {Gr{\"o}tschel, Martin and J{\"u}nger, Michael and Reinelt, Gerhard}, title = {Optimal triangulation of large real world input-output matrices}, volume = {25}, journal = {Statistische Hefte}, pages = {261 -- 295}, year = {1984}, language = {en} } @inproceedings{GroetschelJuengerReinelt1985, author = {Gr{\"o}tschel, Martin and J{\"u}nger, Michael and Reinelt, Gerhard}, title = {Acyclic subdigraphs and linear orderings}, booktitle = {Graphs and Order. The Role of Graphs in the Theory of Ordered Sets and its Applications, Proceedings of NATO ASI, Ser. C 147, Banff/Canada 1984}, editor = {Rival, Ivan}, publisher = {D. Reidel Publishing Company}, pages = {217 -- 264}, year = {1985}, language = {en} } @article{GroetschelJuengerReinelt1985, author = {Gr{\"o}tschel, Martin and J{\"u}nger, Michael and Reinelt, Gerhard}, title = {On the acyclic subgraph polytope}, volume = {33}, journal = {Mathematical Programming}, number = {1}, publisher = {North-Holland}, pages = {28 -- 42}, year = {1985}, language = {en} } @article{GroetschelJuengerReinelt1985, author = {Gr{\"o}tschel, Martin and J{\"u}nger, Michael and Reinelt, Gerhard}, title = {Facets of the linear ordering polytope}, volume = {33}, journal = {Mathematical Programming}, number = {1}, publisher = {North-Holland}, pages = {43 -- 60}, year = {1985}, language = {en} } @article{GroetschelJuengerReinelt1984, author = {Gr{\"o}tschel, Martin and J{\"u}nger, Michael and Reinelt, Gerhard}, title = {A Cutting Plane Algorithm for the Linear Ordering Problem}, volume = {32}, journal = {Operations Research}, number = {6}, pages = {1195 -- 1220}, year = {1984}, language = {en} } @misc{JuengerMartinReineltetal.1992, author = {J{\"u}nger, Michael and Martin, Alexander and Reinelt, Gerhard and Weismantel, Robert}, title = {Quadratic 0/1 Optimization and a Decomposition Approach for the Placement of Electronic Circuits.}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-803}, number = {SC-92-10}, year = {1992}, abstract = {The placement in the layout design of electronic circiuts consists of finding a non- overlapping assignment of rectangular cells to positions on the chip so what wireability is guaranteed and certain technical constraints are met.This problem can be modelled as a quadratic 0/1- program subject to linear constraints. We will present a decomposition approach to the placement problem and give results about \$NP\$-hardness and the existence of \$\varepsilon\$-approximative algorithms for the involved optimization problems. A graphtheoretic formulation of these problems will enable us to develop approximative algorithms. Finally we will present details of the implementation of our approach and compare it to industrial state of the art placement routines. {\bf Keywords:} Quadratic 0/1 optimization, Computational Complexity, VLSI-Design.}, language = {en} } @article{GroetschelJuengerReinelt1991, author = {Gr{\"o}tschel, Martin and J{\"u}nger, Michael and Reinelt, Gerhard}, title = {Optimal Control of Plotting and Drilling Machines}, volume = {35}, journal = {Zeitschrift f{\"u}r Operations Research}, number = {1}, pages = {61 -- 84}, year = {1991}, language = {en} }