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AAAI
2012
11 years 10 months ago
Optimal Proportional Cake Cutting with Connected Pieces
We consider the classic cake cutting problem where one allocates a divisible cake to n participating agents. Among all valid divisions, fairness and efficiency (a.k.a. social wel...
Xiaohui Bei, Ning Chen, Xia Hua, Biaoshuai Tao, En...
SODA
2004
ACM
161views Algorithms» more  SODA 2004»
13 years 9 months ago
Approximation schemes for Metric Bisection and partitioning
We design polynomial time approximation schemes (PTASs) for Metric BISECTION, i.e. dividing a given finite metric space into two halves so as to minimize or maximize the sum of di...
Wenceslas Fernandez de la Vega, Marek Karpinski, C...
COCOON
2005
Springer
14 years 1 months ago
A PTAS for a Disc Covering Problem Using Width-Bounded Separators
In this paper, we study the following disc covering problem: Given a set of discs of various radii on the plane, find a subset of discs to maximize the area covered by exactly on...
Zhixiang Chen, Bin Fu, Yong Tang, Binhai Zhu
SODA
2004
ACM
152views Algorithms» more  SODA 2004»
13 years 9 months ago
Approximation schemes for minimum 2-edge-connected and biconnected subgraphs in planar graphs
Given an undirected graph, finding either a minimum 2-edge-connected spanning subgraph or a minimum 2vertex-connected (biconnected) spanning subgraph is MaxSNP-hard. We show that ...
Artur Czumaj, Michelangelo Grigni, Papa Sissokho, ...
ALT
2004
Springer
14 years 4 months ago
Relative Loss Bounds and Polynomial-Time Predictions for the k-lms-net Algorithm
We consider a two-layer network algorithm. The first layer consists of an uncountable number of linear units. Each linear unit is an LMS algorithm whose inputs are first “kerne...
Mark Herbster