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» Partitions of Complete Geometric Graphs into Plane Trees
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CORR
2007
Springer
122views Education» more  CORR 2007»
13 years 7 months ago
How to Complete a Doubling Metric
In recent years, considerable advances have been made in the study of properties of metric spaces in terms of their doubling dimension. This line of research has not only enhanced...
Anupam Gupta, Kunal Talwar
COMPGEOM
2003
ACM
14 years 23 days ago
Local polyhedra and geometric graphs
We introduce a new realistic input model for geometric graphs and nonconvex polyhedra. A geometric graph G is local if (1) the longest edge at every vertex v is only a constant fa...
Jeff Erickson
JGAA
2008
100views more  JGAA 2008»
13 years 7 months ago
Parameters of Bar k-Visibility Graphs
Bar k-visibility graphs are graphs admitting a representation in which the vertices correspond to horizontal line segments, called bars, and the edges correspond to vertical lines...
Stefan Felsner, Mareike Massow
RSA
2010
118views more  RSA 2010»
13 years 5 months ago
Weight of a link in a shortest path tree and the Dedekind Eta function
The weight of a randomly chosen link in the shortest path tree on the complete graph with exponential i.i.d. link weights is studied. The corresponding exact probability generatin...
Piet Van Mieghem
COMPGEOM
2008
ACM
13 years 9 months ago
Circular partitions with applications to visualization and embeddings
We introduce a hierarchical partitioning scheme of the Euclidean plane, called circular partitions. Such a partition consists of a hierarchy of convex polygons, each having small ...
Krzysztof Onak, Anastasios Sidiropoulos