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» Augmenting the Connectivity of Planar and Geometric Graphs
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ICDCS
2002
IEEE
14 years 1 months ago
Geometric Spanners for Wireless Ad Hoc Networks
Abstract—We propose a new geometric spanner for wireless ad hoc networks, which can be constructed efficiently in a distributed manner. It integrates the connected dominating se...
Yu Wang 0003, Xiang-Yang Li
IM
2008
13 years 8 months ago
Fast and Efficient Restricted Delaunay Triangulation in Random Geometric Graphs
Let G = G(n, r) be a random geometric graph resulting from placing n nodes uniformly at random in the unit square (disk) and connecting every two nodes if and only if their Euclide...
Chen Avin
COMPGEOM
2007
ACM
14 years 15 days ago
Embedding 3-polytopes on a small grid
We show how to embed a 3-connected planar graph with n vertices as a 3-polytope with small integer coordinates. The coordinates are bounded by O(27.55n ). The crucial part is the ...
Ares Ribó Mor, Günter Rote, Andr&eacut...
MFCS
2004
Springer
14 years 1 months ago
The Bidimensional Theory of Bounded-Genus Graphs
Abstract. Bidimensionality provides a tool for developing subexponential fixed-parameter algorithms for combinatorial optimization problems on graph families that exclude a minor....
Erik D. Demaine, Mohammad Taghi Hajiaghayi, Dimitr...
ISSAC
2007
Springer
146views Mathematics» more  ISSAC 2007»
14 years 2 months ago
Fast and exact geometric analysis of real algebraic plane curves
An algorithm is presented for the geometric analysis of an algebraic curve f(x, y) = 0 in the real affine plane. It computes a cylindrical algebraic decomposition (CAD) of the pla...
Arno Eigenwillig, Michael Kerber, Nicola Wolpert