115 search results - page 2 / 23 » Geometric graphs with no two parallel edges |
GD
1998
Springer
13 years 8 months ago
1998
Springer
We define the geometric thickness of a graph to be the smallest number of layers such that we can draw the graph in the plane with straightline edges and assign each edge to a lay...
STOC
2001
ACM
14 years 4 months ago
2001
ACM
We show how to bound the mixing time and log-Sobolev constants of Markov chains by bounding the edge-isoperimetry of their underlying graphs. To do this we use two recent techniqu...
GD
2004
Springer
13 years 9 months ago
2004
Springer
Pinchasi and Radoiˇci´c [11] used the following observation to bound the number of edges of a topological graph without a self-crossing cycle of length 4: if we make a list of t...
CCCG
2010
13 years 5 months ago
2010
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...
GD
2009
Springer
13 years 9 months ago
2009
Springer
The geometric simultaneous embedding problem asks whether two planar graphs on the same set of vertices in the plane can be drawn using straight lines, such that each graph is pla...