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COMBINATORICS
2004
90views more  COMBINATORICS 2004»
13 years 8 months ago
Goldberg-Coxeter Construction for 3- and 4-valent Plane Graphs
We consider the Goldberg-Coxeter construction GCk,l(G0) (a generalization of a simplicial subdivision of the dodecahedron considered in [Gold37] and [Cox71]), which produces a pla...
Mathieu Dutour, Michel Deza
MOBIHOC
2007
ACM
14 years 8 months ago
Complexity in geometric SINR
In this paper we study the problem of scheduling wireless links in the geometric SINR model, which explicitly uses the fact that nodes are distributed in the Euclidean plane. We p...
Olga Goussevskaia, Yvonne Anne Oswald, Roger Watte...
COCOON
2007
Springer
14 years 2 months ago
Colored Simultaneous Geometric Embeddings
We introduce the concept of colored simultaneous geometric embeddings as a generalization of simultaneous graph embeddings with and without mapping. We show that there exists a uni...
Ulrik Brandes, Cesim Erten, J. Joseph Fowler, Fabr...
ALGORITHMICA
2007
117views more  ALGORITHMICA 2007»
13 years 8 months ago
Random Geometric Graph Diameter in the Unit Ball
The unit ball random geometric graph G = Gd p(λ, n) has as its vertices n points distributed independently and uniformly in the unit ball in Rd, with two vertices adjacent if and ...
Robert B. Ellis, Jeremy L. Martin, Catherine H. Ya...
COMPGEOM
1997
ACM
14 years 20 days ago
Computing Exact Geometric Predicates Using Modular Arithmetic with Single Precision
Abstract: We propose an e cient method that determines the sign of a multivariate polynomial expression with integer coe cients. This is a central operation on which the robustness...
Hervé Brönnimann, Ioannis Z. Emiris, V...