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» Algorithms for Terminal Steiner Trees
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FOCS
2006
IEEE
14 years 1 months ago
Approximate Min-Max Theorems of Steiner Rooted-Orientations of Hypergraphs
Given an undirected hypergraph and a subset of vertices S ⊆ V with a specified root vertex r ∈ S, the STEINER ROOTED-ORIENTATION problem is to find an orientation of all the...
Tamás Király, Lap Chi Lau
ESA
2003
Springer
189views Algorithms» more  ESA 2003»
14 years 18 days ago
On the Complexity of Approximating TSP with Neighborhoods and Related Problems
We prove that various geometric covering problems, related to the Travelling Salesman Problem cannot be efficiently approximated to within any constant factor unless P = NP. This ...
Shmuel Safra, Oded Schwartz
COMGEO
2002
ACM
13 years 7 months ago
Quadtree, ray shooting and approximate minimum weight Steiner triangulation
We present a quadtree-based decomposition of the interior of a polygon with holes. The complete decomposition yields a constant factor approximation of the minimum weight Steiner ...
Siu-Wing Cheng, Kam-Hing Lee
IPPS
2005
IEEE
14 years 1 months ago
Self-Stabilizing Anonymous Leader Election in a Tree
We propose a new self-stabilizing anonymous leader election algorithm in a tree graph. We show the correctness of the protocol and show that the protocol terminates in O(n4 ) time...
Zhenyu Xu, Pradip K. Srimani
SODA
2010
ACM
215views Algorithms» more  SODA 2010»
14 years 4 months ago
Approximability of Robust Network Design
We consider robust network design problems where the set of feasible demands may be given by an arbitrary polytope or convex body more generally. This model, introduced by BenAmeu...
Neil Olver, F. Bruce Shepherd