Titlebook: Integer Programming and Combinatorial Optimization; 12th International I Matteo Fischetti,David P. Williamson Conference proceedings 2007 S

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Triangle-Free Simple 2-Matchings in Subcubic Graphs (Extended Abstract)ching that contains no triangles, which is closely related to a class of relaxations of the TSP. Our main results are, for graphs with maximum degree 3, a complete description of the convex hull of incidence vectors of triangle-free simple 2-matchings and a strongly polynomial time algorithm for the

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Afflict

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New Variants of Lift-and-Project Cut Generation from the LP Tableau: Open Source Implementation and -and-project cuts from the original simplex tableau, two of which are new. Variant 1 is the original procedure of [6] with minor modifications. Variant 2 uses a new procedure for choosing the pivot element: After identifying the set of row candidates for an improving pivot, the pivot element (and co

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Orbital Branchingiables that are equivalent with respect to the symmetry remaining in the problem after branching, including symmetry which is not present at the root node. These groups of equivalent variables, called orbits, are used to create a valid partitioning of the feasible region which significantly reduces

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Distinct Triangle Areas in a Planar Point Setat least ., which is attained for ⌈. / 2⌉ and respectively . equally spaced points lying on two parallel lines. We show that this number is at least .. The best previous bound, ., which dates back to 1982, follows from the combination of a result of Burton and Purdy [5] and Ungar’s theorem [23] on t

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Scheduling with Precedence Constraints of Low Fractional Dimensionus 2-approximation algorithms is considered one of the ten most prominent open problems in scheduling theory. Recently, research has focused on special cases of the problem, mostly by restricting the set of precedence constraints to special classes such as convex bipartite, two-dimensional, and inte

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椭圆

Matching Problems in Polymatroids Without Double Circuitsng depends on the behavior of certain substructures, called double circuits. In this paper we prove that if a polymatroid has no double circuits at all, then a partition-type min-max formula characterizes the size of a maximum matching. We provide applications of this result to parity constrained or