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» Worst-Case Bounds for Subadditive Geometric Graphs
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COMPGEOM
1993
ACM
13 years 8 months ago
Worst-Case Bounds for Subadditive Geometric Graphs
We consider graphs such as the minimum spanning tree, minimum Steiner tree, minimum matching, and traveling salesman tour for n points in the d-dimensional unit cube. For each of ...
Marshall W. Bern, David Eppstein
COMPGEOM
2003
ACM
13 years 9 months 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
COMPGEOM
2006
ACM
13 years 10 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,...
COMPGEOM
2004
ACM
13 years 10 months ago
Single-strip triangulation of manifolds with arbitrary topology
Triangle strips have been widely used for efficient rendering. It is NP-complete to test whether a given triangulated model can be represented as a single triangle strip, so many...
David Eppstein, M. Gopi