19 search results - page 1 / 4 » Convex Drawings of 3-Connected Plane Graphs |
GD
2004
Springer
14 years 4 months ago
2004
Springer
We use Schnyder woods of 3-connected planar graphs to produce convex straight line drawings on a grid of size (n − 2 − ∆) × (n − 2 − ∆). The parameter ∆ ≥ 0 depen...
JGAA
2008
13 years 11 months ago
2008
In a convex drawing of a plane graph, all edges are drawn as straight-line segments without any edge-intersection and all facial cycles are drawn as convex polygons. In a convex gr...
GD
2004
Springer
14 years 4 months ago
2004
Springer
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...
CORR
2007
Springer
13 years 11 months ago
2007
Springer
A barycentric mapping of a planar graph is a plane embedding in which every internal vertex is the average of its neighbours. A celebrated result of Tutte’s [16] is that if a pl...
COMGEO
2007
ACM
13 years 11 months ago
2007
ACM
We study straight-line drawings of planar graphs with few segments and few slopes. Optimal results are obtained for all trees. Tight bounds are obtained for outerplanar graphs, 2-...