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» Linear Problem Kernels for NP-Hard Problems on Planar Graphs
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MMAS
2010
Springer
14 years 4 months ago
A Fast Multigrid Algorithm for Energy Minimization under Planar Density Constraints
The two-dimensional layout optimization problem reinforced by the efficient space utilization demand has a wide spectrum of practical applications. Formulating the problem as a non...
Dorit Ron, Ilya Safro, Achi Brandt
SODA
2001
ACM
188views Algorithms» more  SODA 2001»
14 years 10 months ago
Approximation algorithms for the 0-extension problem
In the 0-extension problem, we are given a weighted graph with some nodes marked as terminals and a semimetric on the set of terminals. Our goal is to assign the rest of the nodes ...
Gruia Calinescu, Howard J. Karloff, Yuval Rabani
TIT
2011
131views more  TIT 2011»
14 years 4 months ago
On the Hardness of Approximating the Network Coding Capacity
Abstract—This work addresses the computational complexity of achieving the capacity of a general network coding instance. We focus on the linear capacity, namely the capacity of ...
Michael Langberg, Alexander Sprintson
ISAAC
2009
Springer
109views Algorithms» more  ISAAC 2009»
15 years 4 months ago
A Linear Vertex Kernel for Maximum Internal Spanning Tree
We present an algorithm that for any graph G and integer k ≥ 0 in time polynomial in the size of G either nds a spanning tree with at least k internal vertices, or outputs a ne...
Fedor V. Fomin, Serge Gaspers, Saket Saurabh, St&e...
IWPEC
2009
Springer
15 years 4 months ago
Improved Induced Matchings in Sparse Graphs
An induced matching in graph G is a matching which is an induced subgraph of G. Clearly, among two vertices with the same neighborhood (called twins) at most one is matched in any...
Rok Erman, Lukasz Kowalik, Matjaz Krnc, Tomasz Wal...