31 search results - page 1 / 7 » Embedding Point Sets into Plane Graphs of Small Dilation |
ISAAC
2005
Springer
13 years 10 months ago
2005
Springer
Let S be a set of points in the plane. What is the minimum possible dilation of all plane graphs that contain S? Even for a set S as simple as five points evenly placed on the ci...
STACS
2007
Springer
13 years 11 months ago
2007
Springer
An orthogonal spanner network for a given set of n points in the plane is a plane straight line graph with axis-aligned edges that connects all input points. We show that for any ...
ISAAC
2003
Springer
13 years 10 months ago
2003
Springer
Let G be an embedded planar graph whose edges may be curves. For two arbitrary points of G, we can compare the length of the shortest path in G connecting them against their Euclid...
ISAAC
2005
Springer
13 years 10 months ago
2005
Springer
Given a set S of n points in RD , and an integer k such that 0 k < n, we show that a geometric graph with vertex set S, at most n − 1 + k edges, maximum degree five, and dila...
GD
2006
Springer
13 years 8 months ago
2006
Springer
We prove that computing a geometric minimum-dilation graph on a given set of points in the plane, using not more than a given number of edges, is an NP-hard problem, no matter if ...