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» Linear Problem Kernels for NP-Hard Problems on Planar Graphs
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ESA
2008
Springer
130views Algorithms» more  ESA 2008»
14 years 11 months ago
Linear Time Planarity Testing and Embedding of Strongly Connected Cyclic Level Graphs
Abstract. A level graph is a directed acyclic graph with a level assignment for each node. Such graphs play a prominent role in graph drawing. They express strict dependencies and ...
Christian Bachmaier, Wolfgang Brunner
SODA
2012
ACM
218views Algorithms» more  SODA 2012»
12 years 11 months ago
Linear kernels for (connected) dominating set on H-minor-free graphs
We give the first linear kernels for DOMINATING SET and CONNECTED DOMINATING SET problems on graphs excluding a fixed graph H as a minor. In other words, we give polynomial time...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh, ...
ESCAPE
2007
Springer
256views Algorithms» more  ESCAPE 2007»
15 years 1 months ago
A More Effective Linear Kernelization for Cluster Editing
In the NP-hard Cluster Editing problem, we have as input an undirected graph G and an integer k 0. The question is whether we can transform G, by inserting and deleting at most k ...
Jiong Guo
ISAAC
1995
Springer
97views Algorithms» more  ISAAC 1995»
15 years 28 days ago
A Linear Time Algorithm For Finding Maximal Planar Subgraphs
Given an undirected graph G, the maximal planar subgraph problem is to determine a planar subgraph H of G such that no edge of G-H can be added to H without destroying planarity. P...
Wen-Lian Hsu
GD
2008
Springer
14 years 10 months ago
An SPQR-Tree Approach to Decide Special Cases of Simultaneous Embedding with Fixed Edges
Abstract. We present a linear-time algorithm for solving the simultaneous embedding problem with fixed edges (SEFE) for a planar graph and a pseudoforest (a graph with at most one...
J. Joseph Fowler, Carsten Gutwenger, Michael J&uum...