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Centrality of Trees for Capacitated k-Center

Publications associées (119)

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Fault-Tolerant Facility Location: a randomized dependent LP-rounding algorithm

Abstract We give a new randomized LP-rounding 1.725-approximation algorithm for the metric Fault- Tolerant Uncapacitated Facility Location problem. This improves on the previously best known 2.076-approximation algorithmof Swamy & Shmoys. To the best of ou ...

Springer-Verlag New York, Ms Ingrid Cunningham, 175 Fifth Ave, New York, Ny 10010 Usa2010

On finding another room-partitioning of the vertices

Laura Sanità

Let T be a triangulated surface given by the list of vertex-triples of its triangles, called rooms. A room-partitioning of T is a subset R of the rooms such that each vertex of T is in exactly one room in R. We prove that if T has a room-partitioning R, th ...

2010

Drawing (complete) binary tanglegrams: Hardness, approximation, fixed-parameter tractability

A binary tanglegram is a pair (S, T) of binary trees whose leaf sets are in one-to-one correspondence; matching leaves are connected by inter-tree edges. For applications, for example in phylogenetics, it is essential that both trees are drawn without edge ...

Springer2009

The scale axis picture show

Mark Pauly

We demonstrate how the scale axis transform can be used to compute a parameterized family of shape skeletons. The skeletons gradually represent only the most important features of a shape, in a scale-adaptive manner. Here a shape O is any bounded open subs ...

2009

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

Estimation of modelling errors in structural system identification

Ian Smith, James-Alexandre Goulet

This paper presents a method for measurement-system design through criteria related to model based structural identification. Using a multi-model approach and results from previous research carried out at EPFL, an improved algorithm is proposed. The algori ...

2009

YaQ: An Architecture for Real-Time Navigation and Rendering of Varied Crowds

Daniel Thalmann, Jonathan Maim, Barbara Yersin

The YaQ software platform is a complete system dedicated to real-time crowd simulation and rendering. Fitting multiple application domains, such as video games and VR, YaQ aims to provide efficient algorithms to generate crowds comprising up to thousands o ...

Institute of Electrical and Electronics Engineers2009

Parametric integer programming in fixed dimension

Friedrich Eisenbrand, Gennady Shmonin

We consider the following problem: Given a rational matrix

A \in \mathbb{Q}^{m \times n}

and a rational polyhedron

Q \subseteq \mathbb{R}^{m+p}

, decide if for all vectors

b \in \mathbb{R}^m

, for which there exists an integral

z \in \mathbb{Z}^p

suc ...

2008

Practical algorithms for gathering stored correlated data in a network

Ramin Khalili

Many sensing systems remotely monitor/measure an environment at several sites, and then report these observations to a central site. We propose and investigate several practical algorithms for joint routing and compression of data files as they are forward ...

2008

An Optimal Bifactor Approximation Algorithm for the Metric Uncapacitated Facility Location Problem

We consider the metric uncapacitated facility location problem(UFL). In this paper we modify the (1 + 2/e)-approximation algorithm of Chudak and Shmoys to obtain a new (1.6774,1.3738)- approximation algorithm for the UFL problem. Our linear programing roun ...

Springer2007

Parametric integer programming in fixed dimension

Friedrich Eisenbrand, Gennady Shmonin

We consider the following problem: Given a rational matrix

A \in \mathbb{Q}^{m \times n}

and a rational polyhedron

Q \subseteq \mathbb{R}^{m+p}

, decide if for all vectors

b \in \mathbb{R}^m

, for which there exists an integral

z \in \mathbb{Z}^p

suc ...

2008