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» Lombardi Drawings of Graphs
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JCT
2007
103views more  JCT 2007»
13 years 9 months ago
Geometric drawings of Kn with few crossings
We give a new upper bound for the rectilinear crossing number cr(n) of the complete geometric graph Kn. We prove that cr(n) ≤ 0.380559 ¡n 4 ¢ + Θ(n3 ) by means of a new const...
Bernardo M. Ábrego, Silvia Fernández...
GD
2003
Springer
14 years 2 months ago
Characterizing Families of Cuts That Can Be Represented by Axis-Parallel Rectangles
A drawing of a family of cuts of a graph is an augmented drawing of the graph such that every cut in the family is represented by a simple closed curve and vice versa. We show tha...
Ulrik Brandes, Sabine Cornelsen, Dorothea Wagner
DCG
2008
93views more  DCG 2008»
13 years 9 months ago
Odd Crossing Number and Crossing Number Are Not the Same
The crossing number of a graph is the minimum number of edge intersections in a plane drawing of a graph, where each intersection is counted separately. If instead we count the nu...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
CCCG
2010
13 years 11 months ago
Minimum-area drawings of plane 3-trees
d Abstract) Debajyoti Mondal , Rahnuma Islam Nishat , Md. Saidur Rahman , and Muhammad Jawaherul Alam
Debajyoti Mondal, Rahnuma Islam Nishat, Md. Saidur...