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» Simultaneous Embedding of Planar Graphs with Few Bends
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GD
2004
Springer
13 years 11 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
DM
2002
104views more  DM 2002»
13 years 5 months ago
A polynomial time algorithm for determining zero Euler-Petrie genus of an Eulerian graph
A dual-eulerian graph is a plane graph which has an ordering defined on its edge set which forms simultaneously an Euler circuit in the graph and an euler circuit in the dual grap...
Brigitte Servatius, Herman Servatius
GD
1999
Springer
13 years 10 months ago
Drawing Planar Graphs with Circular Arcs
In this paper we address the problem of drawing planar graphs with circular arcs while maintaining good angular resolution and small drawing area. We present a lower bound on the a...
C. C. Cheng, Christian A. Duncan, Michael T. Goodr...
COMPGEOM
2010
ACM
13 years 11 months ago
Adding one edge to planar graphs makes crossing number hard
A graph is near-planar if it can be obtained from a planar graph by adding an edge. We show that it is NP-hard to compute the crossing number of near-planar graphs. The main idea ...
Sergio Cabello, Bojan Mohar
WADS
2009
Springer
281views Algorithms» more  WADS 2009»
14 years 10 days ago
The Simultaneous Representation Problem for Chordal, Comparability and Permutation Graphs
Abstract. We introduce the simultaneous representation problem, defined for any graph class C characterized in terms of representations, e.g. any class of intersection graphs. Two...
Krishnam Raju Jampani, Anna Lubiw