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» On the Crossing Number of Almost Planar Graphs
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GD
2003
Springer
14 years 17 days ago
Fixed-Location Circular-Arc Drawing of Planar Graphs
In this paper we consider the problem of drawing a planar graph using circular arcs as edges, given a one-to-one mapping between the vertices of the graph and a set of points in t...
Alon Efrat, Cesim Erten, Stephen G. Kobourov
FOCS
1999
IEEE
13 years 11 months ago
Taking a Walk in a Planar Arrangement
We present a randomized algorithm for computing portions of an arrangement of n arcs in the plane, each pair of which intersect in at most t points. We use this algorithm to perfo...
Sariel Har-Peled
CORR
2008
Springer
141views Education» more  CORR 2008»
13 years 7 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...
ISAAC
1998
Springer
94views Algorithms» more  ISAAC 1998»
13 years 11 months ago
Two-Layer Planarization in Graph Drawing
Abstract. We study the two-layer planarization problems that have applications in Automatic Graph Drawing. We are searching for a two-layer planar subgraph of maximumweight in a gi...
Petra Mutzel, René Weiskircher
JCT
2007
111views more  JCT 2007»
13 years 7 months ago
Removing even crossings
An edge in a drawing of a graph is called even if it intersects every other edge of the graph an even number of times. Pach and T´oth proved that a graph can always be redrawn so...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...