115 search results - page 1 / 23 » Geometric graphs with no two parallel edges |
COMBINATORICA
2008
13 years 5 months ago
2008
We give a simple proof for a theorem of Katchalski, Last, and Valtr, asserting that the maximum number of edges in a geometric graph G on n vertices with no pair of parallel edges...
IPL
2008
13 years 4 months ago
2008
Let S be a set of n points in general position in the plane, labelled bijectively with the integers {0, 1, . . ., n - 1}. Each edge (the straight segment that joins two points) is...
COMPGEOM
2010
ACM
13 years 10 months ago
2010
ACM
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 ...
ENDM
2008
13 years 5 months ago
2008
In this paper we study some connectivity augmentation problems. Given a connected graph G with some desirable property, we want to make G 2-vertex connected (or 2-edge connected) ...
DIALM
2008
ACM
13 years 6 months ago
2008
ACM
A random geometric graph G(n, r) is a graph resulting from placing n points uniformly at random on the unit area disk, and connecting two points iff their Euclidean distance is at ...