Concept

Euclidean minimum spanning tree

Related publications (92)

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Automated Reconstruction of Dendritic and Axonal Trees by Global Optimization with Geometric Priors

Pascal Fua, Engin Türetken, Germán González Serrano

We present a novel probabilistic approach to fully automated delineation of tree structures in noisy 2D images and 3D image stacks. Unlike earlier methods that rely mostly on local evidence, ours builds a set of candidate trees over many different subsets ...

Humana Press2011

Bin Packing via Discrepancy of Permutations

Friedrich Eisenbrand, Thomas Rothvoss, Doemoetoer Palvoelgyi

A well studied special case of bin packing is the 3-partition problem, where n items of size > 1/4 have to be packed in a minimum number of bins of capacity one. The famous Karmarkar-Karp algorithm transforms a fractional solution of a suitable LP relaxati ...

Siam, 3600 Univ City Science Center, Philadelphia, Pa 19104-2688 Usa2011

Exchange of Limits: Why Iterative Decoding Works

Rüdiger Urbanke, Satish Babu Korada

We consider communication over binary-input memoryless output-symmetric channels using low-density parity-check codes and message-passing decoding. The asymptotic (in the length) performance of such a combination for a fixed number of iterations is given b ...

2011

Exchange of Limits: Why Iterative Decoding Works

Rüdiger Urbanke, Satish Babu Korada

Institute of Electrical and Electronics Engineers2011

QoSNC: A Novel Approach to QoS-Based Network Coding for Fixed Networks

Amir Hesam Salavati

In this paper, we present a decentralized algorithm to find minimum cost quality of service (QoS) flow subgraphs in network coded multicast schemes. The main objective is to find minimum cost subgraphs that also satisfy user-specified QoS constraints, spec ...

2010

An Improved LP-based Approximation for Steiner Tree

Thomas Rothvoss, Laura Sanità

The Steiner tree problem is one of the most fundamental

\mathbf{NP}

-hard problems: given a weighted undirected graph and a subset of terminal nodes, find a minimum-cost tree spanning the terminals. In a sequence of papers, the approximation ratio for thi ...

Acm Order Department, P O Box 64145, Baltimore, Md 21264 Usa2010

k-Edge-Connectivity: Approximation and LP Relaxation

David Pritchard

This paper's focus is the following family of problems, denoted k-ECSS, where k denotes a positive integer: given a graph (V, E) and costs for each edge, find a minimum-cost subset F of E such that (V, F) is k-edge-connected. For k=1 it is the spanning tre ...

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

Integrality gap of the hypergraphic relaxation of Steiner trees: A short proof of a 1.55 upper bound

David Pritchard

Recently, Byrka, Grandoni, RothvoBand Sanita gave a 1.39 approximation for the Steiner tree problem, using a hypergraph-based linear programming relaxation. They also upper-bounded its integrality gap by 1.55. We describe a shorter proof of the same integr ...

Elsevier2010

Network Design via Core Detouring for Problems Without a Core

Thomas Rothvoss

Some of the currently best-known approximation algorithms for network design are based on random sampling. One of the key steps of such algorithms is connecting a set of source nodes to a random subset of them. In a recent work [Eisenbrand,Grandoni,Rothvo\ ...

Springer2010

Practical issues in the development of a minimalistic power management solution for WSNs

Jorge Miguel Dias Almeida Rodrigues Soares

A flexible Wireless Sensor Network platform for implementation of diverse applications has been developed and deployed at Instituto Superior Técnico - Technical University of Lisbon (IST-TUL). Since its initial deployment in 2007, this testbed has grown st ...