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TAMC
2010
Springer
13 years 8 months ago
Two-Layer Planarization Parameterized by Feedback Edge Set
Abstract. Given an undirected graph G and an integer k ≥ 0, the NPhard 2-Layer Planarization problem asks whether G can be transformed into a forest of caterpillar trees by remov...
Johannes Uhlmann, Mathias Weller
MMAS
2010
Springer
13 years 5 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
COCOON
2005
Springer
14 years 3 months ago
Algorithms for Finding Distance-Edge-Colorings of Graphs
For a bounded integer , we wish to color all edges of a graph G so that any two edges within distance have different colors. Such a coloring is called a distance-edge-coloring or ...
Takehiro Ito, Akira Kato, Xiao Zhou, Takao Nishize...
DAM
2008
92views more  DAM 2008»
13 years 10 months ago
Convex drawings of graphs with non-convex boundary constraints
: In this paper, we study a new problem of convex drawing of planar graphs with non-convex boundary constraints. It is proved that every triconnected plane graph whose boundary is ...
Seok-Hee Hong, Hiroshi Nagamochi
CORR
2012
Springer
249views Education» more  CORR 2012»
12 years 6 months ago
Computing Cartograms with Optimal Complexity
We show how to compute cartograms with worst-case optimal polygonal complexity. Specifically we study rectilinear duals which are side-contact representations of a planar graph G ...
Md. Jawaherul Alam, Therese C. Biedl, Stefan Felsn...