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DM
2008
111views more  DM 2008»
14 years 10 months ago
Planarity of iterated line graphs
The line index of a graph G is the smallest k such that the kth iterated line graph of G is nonplanar. We show that the line index of a graph is either in nite or it is at most 4....
Mohammad Ghebleh, Mahdad Khatirinejad
GD
2007
Springer
15 years 4 months ago
Minimizing the Area for Planar Straight-Line Grid Drawings
Straight-line grid drawings of bounded size is a classical topic in graph drawing. The Graph Drawing Challenge 2006 dealt with minimizing the area of planar straight-line grid draw...
Marcus Krug, Dorothea Wagner
ALGORITHMICA
2006
132views more  ALGORITHMICA 2006»
14 years 10 months ago
Straight-Line Drawing Algorithms for Hierarchical Graphs and Clustered Graphs
Hierarchical graphs and clustered graphs are useful non-classical graph models for structured relational information. Hierarchical graphs are graphs with layering structures; clus...
Peter Eades, Qing-Wen Feng, Xuemin Lin, Hiroshi Na...
JGT
2008
74views more  JGT 2008»
14 years 10 months ago
Straight line embeddings of cubic planar graphs with integer edge lengths
We prove that every simple cubic planar graph admits a planar embedding such that each edge is embedded as a straight line segment of integer length.
Jim Geelen, Anjie Guo, David McKinnon
SODA
2000
ACM
99views Algorithms» more  SODA 2000»
14 years 11 months ago
A point-placement strategy for conforming Delaunay tetrahedralization
A strategy is presented to find a set of points which yields a Conforming Delaunay tetrahedralization of a three-dimensional Piecewise-Linear Complex (PLC). This algorithm is nove...
Michael Murphy, David M. Mount, Carl W. Gable