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COMGEO
2011
ACM
14 years 5 months ago
Characterizations of restricted pairs of planar graphs allowing simultaneous embedding with fixed edges
A set of planar graphs share a simultaneous embedding if they can be drawn on the same vertex set V in the Euclidean plane without crossings between edges of the same graph. Fixed ...
J. Joseph Fowler, Michael Jünger, Stephen G. ...
GD
2009
Springer
15 years 2 months ago
Leftist Canonical Ordering
Canonical ordering is an important tool in planar graph drawing and other applications. Although a linear-time algorithm to determine canonical orderings has been known for a while...
Melanie Badent, Michael Baur, Ulrik Brandes, Sabin...
ALGORITHMICA
2002
109views more  ALGORITHMICA 2002»
14 years 9 months ago
A Near-Linear Area Bound for Drawing Binary Trees
We present several simple methods to construct planar, strictly upward, strongly order-preserving, straight-line drawings of any n-node binary tree. In particular, it is shown that...
Timothy M. Chan
ISAAC
2004
Springer
98views Algorithms» more  ISAAC 2004»
15 years 3 months ago
Inner Rectangular Drawings of Plane Graphs
A drawing of a plane graph is called an inner rectangular drawing if every edge is drawn as a horizontal or vertical line segment so that every inner face is a rectangle. An inner ...
Kazuyuki Miura, Hiroki Haga, Takao Nishizeki
FAW
2007
Springer
177views Algorithms» more  FAW 2007»
15 years 4 months ago
The Parameterized Complexity of the Induced Matching Problem in Planar Graphs
Abstract. Given a graph G and a nonnegative integer k, the NP-complete Induced Matching problem asks for an edge subset M such that M is a matching and no two edges of M are joined...
Hannes Moser, Somnath Sikdar