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DM
2008
73views more  DM 2008»
13 years 8 months ago
Graphs with the n-e.c. adjacency property constructed from affine planes
We give new examples of graphs with the n-e.c. adjacency property. Few explicit families of n-e.c. graphs are known, despite the fact that almost all finite graphs are n-e.c. Our ...
C. A. Baker, Anthony Bonato, Julia M. Nowlin Brown...
CCCG
2010
13 years 10 months ago
Some properties of higher order delaunay and gabriel graphs
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...
Prosenjit Bose, Sébastien Collette, Ferran ...
SIAMCOMP
2002
113views more  SIAMCOMP 2002»
13 years 8 months ago
Fast Greedy Algorithms for Constructing Sparse Geometric Spanners
Given a set V of n points in Rd and a real constant t > 1, we present the first O(n log n)-time algorithm to compute a geometric t-spanner on V . A geometric t-spanner on V is a...
Joachim Gudmundsson, Christos Levcopoulos, Giri Na...
ALGOSENSORS
2004
Springer
14 years 2 months ago
On a Conjecture Related to Geometric Routing
We conjecture that any planar 3-connected graph can be embedded in the plane in such a way that for any nodes s and t, there is a path from s to t such that the Euclidean distance ...
Christos H. Papadimitriou, David Ratajczak
COMGEO
2004
ACM
13 years 8 months ago
Ordered theta graphs
Let
Prosenjit Bose, Joachim Gudmundsson, Pat Morin