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» Planar graph bipartization in linear time
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CCCG
2007
14 years 11 months ago
Homothetic Triangle Contact Representations of Planar Graphs
In this paper we study the problem of computing homothetic triangle contact representations of planar graphs. Since not all planar graphs admit such a representation, we concentra...
Melanie Badent, Carla Binucci, Emilio Di Giacomo, ...
CORR
2002
Springer
144views Education» more  CORR 2002»
14 years 9 months ago
Polynomial Time Data Reduction for Dominating Set
Dealing with the NP-complete Dominating Set problem on graphs, we demonstrate the power of data reduction by preprocessing from a theoretical as well as a practical side. In parti...
Jochen Alber, Michael R. Fellows, Rolf Niedermeier
STACS
2010
Springer
15 years 4 months ago
Planar Subgraph Isomorphism Revisited
Abstract. The problem of Subgraph Isomorphism is defined as follows: Given a pattern H and a host graph G on n vertices, does G contain a subgraph that is isomorphic to H? Eppstei...
Frederic Dorn
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
CORR
2008
Springer
133views Education» more  CORR 2008»
14 years 9 months ago
On Geometric Spanners of Euclidean and Unit Disk Graphs
We consider the problem of constructing bounded-degree planar geometric spanners of Euclidean and unit-disk graphs. It is well known that the Delaunay subgraph is a planar geometri...
Iyad A. Kanj, Ljubomir Perkovic