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» Plane and Planarity Thresholds for Random Geometric Graphs
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ENDM
2008
142views more  ENDM 2008»
13 years 5 months ago
Augmenting the Connectivity of Planar and Geometric Graphs
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) ...
Ignaz Rutter, Alexander Wolff
STOC
2004
ACM
94views Algorithms» more  STOC 2004»
14 years 5 months ago
Sharp thresholds For monotone properties in random geometric graphs
Ashish Goel, Sanatan Rai, Bhaskar Krishnamachari
GD
2009
Springer
13 years 9 months 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...
COMPGEOM
2006
ACM
13 years 11 months ago
Plane embeddings of planar graph metrics
Embedding metrics into constant-dimensional geometric spaces, such as the Euclidean plane, is relatively poorly understood. Motivated by applications in visualization, ad-hoc netw...
MohammadHossein Bateni, Mohammad Taghi Hajiaghayi,...
DIALM
2008
ACM
179views Algorithms» more  DIALM 2008»
13 years 6 months ago
Distance graphs: from random geometric graphs to Bernoulli graphs and between
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 ...
Chen Avin