60 search results - page 7 / 12 » A Polynomial Bound for Untangling Geometric Planar Graphs |
WADS
2005
Springer
15 years 3 months ago
2005
Springer
Let G be an embedded planar graph whose edges may be curves. The detour between two points, p and q (on edges or vertices) of G, is the ratio between the shortest path in G between...
114
click to vote
EJC
2011
14 years 4 months ago
2011
A D-polyhedron is a polyhedron P such that if x, y are in P then so are their componentwise max and min. In other words, the point set of a D-polyhedron forms a distributive latti...
COMPGEOM
2007
ACM
15 years 1 months ago
2007
ACM
We show how to embed a 3-connected planar graph with n vertices as a 3-polytope with small integer coordinates. The coordinates are bounded by O(27.55n ). The crucial part is the ...
FOCS
2003
IEEE
15 years 2 months ago
2003
IEEE
We give a surprisingly short proof that in any planar arrangement of Ò curves where each pair intersects at most a fixed number (×) of times, the -level has subquadratic (Ç´...
ISAAC
2009
Springer
15 years 4 months ago
2009
Springer
We give a simple framework which is an alternative to the celebrated and widely used shifting strategy of Hochbaum and Maass [J. ACM, 1985] which has yielded efficient algorithms ...