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» On crossing numbers of geometric proximity graphs
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FOCS
2006
IEEE
13 years 11 months ago
On a Geometric Generalization of the Upper Bound Theorem
We prove an upper bound, tight up to a factor of 2, for the number of vertices of level at most in an arrangement of n halfspaces in Rd , for arbitrary n and d (in particular, the...
Uli Wagner
CORR
2004
Springer
94views Education» more  CORR 2004»
13 years 4 months ago
Track Layouts of Graphs
A (k, t)-track layout of a graph G consists of a (proper) vertex t-colouring of G, a total order of each vertex colour class, and a (non-proper) edge k-colouring such that between...
Vida Dujmovic, Attila Pór, David R. Wood
CVGIP
2007
99views more  CVGIP 2007»
13 years 5 months ago
Meshless geometric subdivision
Point-based surface processing has developed into an attractive alternative to mesh-based processing techniques for a number of geometric modeling applications. By working with po...
Carsten Moenning, Facundo Mémoli, Guillermo...
CORR
2011
Springer
194views Education» more  CORR 2011»
13 years 1 days ago
Energy-Latency Tradeoff for In-Network Function Computation in Random Networks
—The problem of designing policies for in-network function computation with minimum energy consumption subject to a latency constraint is considered. The scaling behavior of the ...
Paul N. Balister, Béla Bollobás, Ani...