GD
2007
Springer
13 years 8 months ago
2007
Springer
Abstract. A graph is planar if and only if it does not contain a Kuratowski subdivision. Hence such a subdivision can be used as a witness for non-planarity. Modern planarity testi...
GD
2007
Springer
13 years 8 months ago
2007
Springer
GD
2007
Springer
13 years 10 months ago
2007
Springer
This paper describes novel methods we developed to lay out graphs using Sugiyama’s scheme [16] in a tool named GLEE. The main contributions are: a heuristic for creating a graph ...
GD
2007
Springer
13 years 10 months ago
2007
Springer
The odd crossing number of G is the smallest number of pairs of edges that cross an odd number of times in any drawing of G. We show that there always is a drawing realizing the o...
GD
2007
Springer
13 years 10 months ago
2007
Springer
We show that computing the crossing number of a graph with a given rotation system is NP-complete. This result leads to a new and much simpler proof of Hlinˇen´y’s result, tha...
GD
2007
Springer
13 years 10 months ago
2007
Springer
Straight-line grid drawings of bounded size is a classical topic in graph drawing. The Graph Drawing Challenge 2006 dealt with minimizing the area of planar straight-line grid draw...
GD
2007
Springer
13 years 10 months ago
2007
Springer
In John Tantalo’s on-line game Planarity the player is given a non-plane straight-line drawing of a planar graph. The aim is to make the drawing plane as quickly as possible by m...
GD
2007
Springer
13 years 10 months ago
2007
Springer
GD
2007
Springer
13 years 10 months ago
2007
Springer
A geometric simultaneous embedding of two graphs G1 = (V1, E1) and G2 = (V2, E2) with a bijective mapping of their vertex sets γ : V1 → V2 is a pair of planar straightline drawi...
GD
2007
Springer
13 years 10 months ago
2007
Springer
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 ...