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» On Planar Quasi-Parity Graphs
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COCOON
2005
Springer
15 years 11 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...
CORR
2012
Springer
249views Education» more  CORR 2012»
14 years 1 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...
JDA
2006
98views more  JDA 2006»
15 years 6 months ago
Completely connected clustered graphs
Abstract. Planar drawings of clustered graphs are considered. We introduce the notion of completely connected clustered graphs, i.e. hierarchically clustered graphs that have the p...
Sabine Cornelsen, Dorothea Wagner
GD
2004
Springer
15 years 11 months ago
Really Straight Graph Drawings
We study straight-line drawings of graphs with few segments and few slopes. Optimal results are obtained for all trees. Tight bounds are obtained for outerplanar graphs, 2-trees, a...
Vida Dujmovic, Matthew Suderman, David R. Wood
DM
2010
91views more  DM 2010»
15 years 6 months ago
Adjacency posets of planar graphs
In this paper, we show that the dimension of the adjacency poset of a planar graph is at most 8. From below, we show that there is a planar graph whose adjacency poset has dimensio...
Stefan Felsner, Ching Man Li, William T. Trotter