Titlebook: Integer Programming and Combinatorial Optimization; 6th International IP Robert E. Bixby,E. Andrew Boyd,Roger Z. Ríos-Merca Conference proc

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The Packing Property disjoint edges (i.e. a matching). This terminol- ogy is due to Seymour 1977. A clutter is . if it does not pack but all its minors pack. A 0,1 matrix is . if it is the edge-vertex incidence matrix of a minimally nonpacking clutter. Minimally nonpacking matrices can be viewed as the counterpart for

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Characterizing Noninteger Polyhedra with 0–1 Constraintsesult is a common generalization of Lovász’s characteri- zation of ‘imperfect’ and Lehman’s characterization of ‘nonideal’ systems of inequalities, furthermore, it includes new cases in which both types of inequalities occur and interact in an essential way. The proof specializes to a conceptually s

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The Generalized Stable Set Problem for Claw-Free Bidirected Graphsem for undirected graphs to bidirected graphs. It is known that the latter problem is polynomially solvable for claw-free undirected graphs. In this paper, we define claw-free bidirected graphs and show that the generalized stable set problem is also polynomially solvable for claw-free bidirected gr

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An Improved Approximation Algorithm for Minimum Size 2-Edge Connected Spanning Subgraphshat has the minimum number of edges. The best previous approximation guarantee was .. If the well known TSP . conjecture holds, then there is a .-approximation algorithm. Thus our main result gets half-way to this target.

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Multicuts in Unweighted Graphs with Bounded Degree and Bounded Tree-Width whose removal disconnects each .. from the corre- sponding ... Our main result is a polynomial-time approximation scheme for . in unweighted graphs with bounded degree and bounded tree-width: for any . > 0, we presented a polynomial-time algorithm with performance ratio at most 1 + .. In the partic