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» Augmenting the connectivity of geometric graphs
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GD
2009
Springer
14 years 2 days ago
Geometric Simultaneous Embeddings of a Graph and a Matching
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...
Sergio Cabello, Marc J. van Kreveld, Giuseppe Liot...
ICDCS
2002
IEEE
14 years 12 days ago
Geometric Spanners for Wireless Ad Hoc Networks
Abstract—We propose a new geometric spanner for wireless ad hoc networks, which can be constructed efficiently in a distributed manner. It integrates the connected dominating se...
Yu Wang 0003, Xiang-Yang Li
GECCO
2007
Springer
182views Optimization» more  GECCO 2007»
14 years 1 months ago
Generating large-scale neural networks through discovering geometric regularities
Connectivity patterns in biological brains exhibit many repeating motifs. This repetition mirrors inherent geometric regularities in the physical world. For example, stimuli that ...
Jason Gauci, Kenneth O. Stanley
IM
2008
13 years 7 months ago
Fast and Efficient Restricted Delaunay Triangulation in Random Geometric Graphs
Let G = G(n, r) be a random geometric graph resulting from placing n nodes uniformly at random in the unit square (disk) and connecting every two nodes if and only if their Euclide...
Chen Avin
ISAAC
2003
Springer
96views Algorithms» more  ISAAC 2003»
14 years 20 days ago
On the Geometric Dilation of Finite Point Sets
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...
Annette Ebbers-Baumann, Ansgar Grüne, Rolf Kl...