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New Results in Integer and Lattice Programming

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Network Formulations of Mixed-Integer Programs

Friedrich Eisenbrand, Marco Di Summa

We consider mixed-integer sets described by system of linear inequalities in which the constraint matrix A is totally unimodular; the right-hand side is arbitrary vector; and a subset of the variables is required to be integer. We show that the problem of ...

INFORMS2009

On the computational complexity of periodic scheduling

Thomas Rothvoss

In periodic scheduling jobs arrive regularly and have to be executed on one or several machines or processors. An enormous amount of literature has been published on this topic, e.g. the founding work of Liu & Layland [LL73] is among the top cited computer ...

EPFL2009

Generalized Hypertree Decompositions: NP-hardness and Tractable Variants

Zoltán Miklós

The generalized hypertree width GHW(H) of a hypergraph H is a measure of its cyclicity. Classes of conjunctive queries or constraint satisfaction problems whose associated hypergraphs have bounded GHW are known to be solvable in polynomial time. However, i ...

2009

Combinatorial algorithms for wireless information flow

Christina Fragouli, Aurore Amaudruz

A long-standing open question in information theory is to characterize the unicast capacity of a wireless relay network. The difficulty arises due to the complex signal interactions induced in the network, since the wireless channel inherently broadcasts t ...

2009

Detecting the Origin of Text Segments Efficiently

Monika Henzinger

In the origin detection problem an algorithm is given a set S of documents, ordered by creation time, and a query document D. It needs to output for every consecutive sequence of k alphanumeric terms in D the earliest document in S in which the sequence ap ...

ACM2009

Sorting signed permutations by inversions in O(nlogn) time

Bernard Moret, Yu Lin, Vaibhav Rajan, Krister Swenson

The study of genomic inversions (or reversals) has been a mainstay of computational genomics for nearly 20 years. After the initial breakthrough of Hannenhalli and Pevzner, who gave the first polynomial-time algorithm for sorting signed permutations by inv ...

Springer2009

2D-TUCKER Is PPAD-Complete

Tucker's lemma states that if we triangulate the unit disc centered at the origin and color the vertices with {1, 1,2, 2} in an antipodal way (if vertical bar z vertical bar = 1, then the sum of the colors of z and -z is zero), then there must be an edge F ...

Springer-Verlag New York, Ms Ingrid Cunningham, 175 Fifth Ave, New York, Ny 10010 Usa2009

A branch and bound algorithm for disassembly scheduling with assembly product structure⋆

Paul Xirouchakis, Hwa-Joong Kim

This paper considers a production planning problem in disassembly systems, which is the problem of determining the quantity and timing of disassembling end-of-use/life products in order to satisfy the demand of their parts or components over a planning hor ...

2009

Faster Integer Multiplication

For more than 35 years, the fastest known method for integer multiplication has been the Schonhage-Strassen algorithm running in time O(n log n log log n). Under certain restrictive conditions, there is a corresponding Omega(n log n) lower bound. All this ...

2009