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» Straight-Line Drawing of Quadrangulations
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SOFSEM
2005
Springer
13 years 11 months ago
Outerplanar Crossing Numbers of 3-Row Meshes, Halin Graphs and Complete p-Partite Graphs
An outerplanar (also called circular, convex, one-page) drawing of an n-vertex graph G is a drawing in which the vertices are placed on a circle and each edge is drawn using one s...
Radoslav Fulek, Hongmei He, Ondrej Sýkora, ...
GD
2009
Springer
13 years 11 months ago
4-Labelings and Grid Embeddings of Plane Quadrangulations
We show that each quadrangulation on n vertices has a closed rectangle of influence drawing on the (n − 2) × (n − 2) grid. Further, we present a simple algorithm to obtain a...
Lali Barrière, Clemens Huemer
CORR
2008
Springer
141views Education» more  CORR 2008»
13 years 6 months ago
Obfuscated Drawings of Planar Graphs
Given a planar graph G, we consider drawings of G in the plane where edges are represented by straight line segments (which possibly intersect). Such a drawing is specified by an i...
Mihyun Kang, Oleg Pikhurko, Alexander Ravsky, Math...
COMGEO
2012
ACM
12 years 2 months ago
Point-set embeddings of plane 3-trees
A straight-line drawing of a plane graph G is a planar drawing of G, where each vertex is drawn as a point and each edge is drawn as a straight line segment. Given a set S of n poi...
Rahnuma Islam Nishat, Debajyoti Mondal, Md. Saidur...
GD
2009
Springer
13 years 11 months ago
Drawing Hamiltonian Cycles with No Large Angles
Let n ≥ 4 be even. It is shown that every set S of n points in the plane can be connected by a (possibly self-intersecting) spanning tour (Hamiltonian cycle) consisting of n str...
Adrian Dumitrescu, János Pach, Géza ...