Alan Frieze, Mark Jerrum (auth.), Egon Balas, Jens Clausen (eds.)3540594086, 9783540594086
Integer programming and combinatorial optimization provide a fruitful theoretical and algorithmic basis for the solution of a number of optimization problems occuring in real-world situations, such as production planning and scheduling, routing, crew scheduling, or network construction. This volume presents 36 revised papers selected from a total of 105 submissions and offers a representative up-to-date snapshot on the state of the art in this interdisciplinary area of research and applications.
Table of contents :
Improved approximation algorithms for MAX k -CUT and MAX BISECTION….Pages 1-13
Approximating minimum feedback sets and multi-cuts in directed graphs….Pages 14-28
Nonlinear formulations and improved randomized approximation algorithms for multicut problems….Pages 29-39
Separating clique tree and bipartition inequalities in polynomial time….Pages 40-49
The interval order polytope of a digraph….Pages 50-64
Separation problems for the stable set polytope….Pages 65-79
Computational study of a family of mixed-integer quadratic programming problems….Pages 80-94
A minimal algorithm for the Bounded Knapsack Problem….Pages 95-109
A framework for tightening 0–1 programs based on extensions of pure 0–1 KP and SS problems….Pages 110-123
Combining semidefinite and polyhedral relaxations for integer programs….Pages 124-134
Distributed near-optimal matching….Pages 135-144
The random linear bottleneck assignment problem….Pages 145-156
On implementing push-relabel method for the maximum flow problem….Pages 157-171
Use of hidden network structure in the set partitioning problem….Pages 172-184
Generalized max flows and augmenting paths….Pages 185-197
Oriented matroid polytopes and polyhedral fans are signable….Pages 198-211
On combinatorial properties of binary spaces….Pages 212-227
Coverings and delta-coverings….Pages 228-243
The topological structure of maximal lattice free convex bodies: The general case….Pages 244-251
The Hilbert basis of the cut cone over the complete graph K 6 ….Pages 252-266
GRIN: An implementation of Gröbner bases for integer programming….Pages 267-276
Scheduling jobs of equal length: Complexity, facets and computational results….Pages 277-291
Formulating a scheduling problem with almost identical jobs by using positional completion times….Pages 292-306
Scheduling unit jobs with compatible release dates on parallel machines with nonstationary speeds….Pages 307-320
A mickey-mouse decomposition theorem….Pages 321-328
Minimum cost dynamic flows: The series-parallel case….Pages 329-343
(0, ±1) ideal matrices….Pages 344-359
Embedding graphs in the torus in linear time….Pages 360-363
A characterization of Seymour graphs….Pages 364-372
The Markov chain of colourings….Pages 373-387
Packing algorithms for arborescences (and spanning trees) in capacitated graphs….Pages 388-402
A faster edge splitting algorithm in multigraphs and its application to the edge-connectivity augmentation problem….Pages 403-413
How to make a strongly connected digraph two-connected….Pages 414-425
Polyhedra and optimization in connection with a weak majorization ordering….Pages 426-437
Combining and strengthening Gomory cuts….Pages 438-451
Sequence independent lifting of cover inequalities….Pages 452-461
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