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» Orthogonal Drawings of Plane Graphs without Bends
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COMGEO
2011
ACM
13 years 19 days 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. ...
CLA
2004
13 years 7 months ago
Planarity of Additively Drawn Concept Lattices
In Formal Concept Analysis, it is a very important but quite difficult task to draw line diagrams of concept lattices automatically. In particular, we want every planar lattice to ...
Christian Zschalig
AAAI
2010
13 years 7 months ago
Search-Based Path Planning with Homotopy Class Constraints
Goal-directed path planning is one of the basic and widely studied problems in the field of mobile robotics. Homotopy classes of trajectories, arising due to the presence of obsta...
Subhrajit Bhattacharya
GD
2007
Springer
13 years 11 months ago
A Bipartite Strengthening of the Crossing Lemma
Let G = (V, E) be a graph with n vertices and m ≥ 4n edges drawn in the plane. The celebrated Crossing Lemma states that G has at least Ω(m3 /n2 ) pairs of crossing edges; or ...
Jacob Fox, János Pach, Csaba D. Tóth