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» Drawings of planar graphs with few slopes and segments
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COMGEO
2007
ACM
13 years 4 months ago
Drawings of planar graphs with few slopes and segments
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-...
Vida Dujmovic, David Eppstein, Matthew Suderman, D...
GD
2004
Springer
13 years 10 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
COMGEO
2007
ACM
13 years 4 months ago
Graph drawings with few slopes
The slope-number of a graph G is the minimum number of distinct edge slopes in a straight-line drawing of G in the plane. We prove that for Δ 5 and all large n, there is a Δ-reg...
Vida Dujmovic, Matthew Suderman, David R. Wood
APVIS
2007
13 years 6 months ago
Straight-line grid drawings of planar graphs with linear area
A straight-line grid drawing of a planar graph G is a drawing of G on an integer grid such that each vertex is drawn as a grid point and each edge is drawn as a straight-line segm...
Md. Rezaul Karim, Md. Saidur Rahman
FOCS
2009
IEEE
13 years 11 months ago
Planarity Allowing Few Error Vertices in Linear Time
— We show that for every fixed k, there is a linear time algorithm that decides whether or not a given graph has a vertex set X of order at most k such that G − X is planar (w...
Ken-ichi Kawarabayashi