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» Augmenting the connectivity of geometric graphs
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INFOCOM
2009
IEEE
14 years 3 months ago
CASE: Connectivity-Based Skeleton Extraction in Wireless Sensor Networks
Abstract—Many sensor network applications are tightly coupled with the geometric environment where the sensor nodes are deployed. The topological skeleton extraction has shown gr...
Hongbo Jiang, Wenping Liu, Dan Wang, Chen Tian, Xi...
CORR
2008
Springer
111views Education» more  CORR 2008»
13 years 8 months ago
Linear-Time Algorithms for Geometric Graphs with Sublinearly Many Crossings
We provide linear-time algorithms for geometric graphs with sublinearly many crossings. That is, we provide algorithms running in O(n) time on connected geometric graphs having n ...
David Eppstein, Michael T. Goodrich, Darren Strash
IPL
2007
87views more  IPL 2007»
13 years 8 months ago
The forwarding indices of augmented cubes
For a given connected graph G of order n, a routing R in G is a set of n(n − 1) elementary paths specified for every ordered pair of vertices in G. The vertex (resp. edge) forw...
Min Xu, Jun-Ming Xu
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