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COMPGEOM
2007
ACM
14 years 10 months ago
Medial axis approximation from inner Voronoi balls: a demo of the Mesecina tool
We illustrate a simple algorithm for approximating the medial axis of a 2D shape with smooth boundary from a sample of this boundary. The algorithm is compared to a more general a...
Balint Miklos, Joachim Giesen, Mark Pauly
ISAAC
2004
Springer
207views Algorithms» more  ISAAC 2004»
14 years 12 months ago
Pareto Optimality in House Allocation Problems
We study Pareto optimal matchings in the context of house allocation problems. We present an O( √ nm) algorithm, based on Gale’s Top Trading Cycles Method, for finding a maxim...
David J. Abraham, Katarína Cechlárov...
DAM
2007
177views more  DAM 2007»
14 years 6 months ago
On Khachiyan's algorithm for the computation of minimum-volume enclosing ellipsoids
Given A := {a1, . . . , am} ⊂ Rd whose affine hull is Rd, we study the problems of computing an approximate rounding of the convex hull of A and an approximation to the minimum ...
Michael J. Todd, E. Alper Yildirim
COCOA
2009
Springer
15 years 1 months ago
A PTAS for Node-Weighted Steiner Tree in Unit Disk Graphs
Abstract. The node-weighted Steiner tree problem is a variation of classical Steiner minimum tree problem. Given a graph G = (V, E) with node weight function C : V → R+ and a sub...
Xianyue Li, Xiao-Hua Xu, Feng Zou, Hongwei Du, Pen...
MONET
2006
103views more  MONET 2006»
14 years 6 months ago
Minimum-Energy Broadcasting in Multi-hop Wireless Networks Using a Single Broadcast Tree
In this paper we address the minimum-energy broadcast problem in multi-hop wireless networks, so that all broadcast requests initiated by different source nodes take place on the s...
Ioannis Papadimitriou, Leonidas Georgiadis