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COCOA
2007
Springer
14 years 27 days ago
A New Exact Algorithm for the Two-Sided Crossing Minimization Problem
The Two-Sided Crossing Minimization (TSCM) problem calls for minimizing the number of edge crossings of a bipartite graph where the two sets of vertices are drawn on two parallel l...
Lanbo Zheng, Christoph Buchheim
CCCG
2010
13 years 8 months ago
Some properties of higher order delaunay and gabriel graphs
We consider two classes of higher order proximity graphs defined on a set of points in the plane, namely, the k-Delaunay graph and the k-Gabriel graph. We give bounds on the follo...
Prosenjit Bose, Sébastien Collette, Ferran ...
ISAAC
1992
Springer
186views Algorithms» more  ISAAC 1992»
13 years 10 months ago
Algorithms for Finding Non-Crossing Paths with Minimum Total Length in Plane Graphs
Let G be an undirected plane graph with non-negative edge length, and let k terminal pairs lie on two specified face boundaries. This paper presents an algorithm for finding k &quo...
Jun-ya Takahashi, Hitoshi Suzuki, Takao Nishizeki
GD
2007
Springer
14 years 26 days 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
AI
2010
Springer
13 years 6 months ago
Optimal query complexity bounds for finding graphs
We consider the problem of finding an unknown graph by using two types of queries with an additive property. Given a graph, an additive query asks the number of edges in a set of ...
Sung-Soon Choi, Jeong Han Kim