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SODA
2012
ACM
262views Algorithms» more  SODA 2012»
11 years 6 months ago
A polynomial-time approximation scheme for planar multiway cut
Given an undirected graph with edge lengths and a subset of nodes (called the terminals), the multiway cut (also called the multi-terminal cut) problem asks for a subset of edges,...
MohammadHossein Bateni, MohammadTaghi Hajiaghayi, ...
AAAI
2012
11 years 6 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
1998
ACM
128views Algorithms» more  SODA 1998»
13 years 5 months ago
A Polynomial-Time Approximation Scheme for Weighted Planar Graph TSP
Given a planar graph on n nodes with costs weights on its edges, de ne the distance between nodes i and j as the length of the shortest path between i and j. Consider this as an i...
Sanjeev Arora, Michelangelo Grigni, David R. Karge...
STACS
2009
Springer
13 years 10 months ago
Polynomial-Time Approximation Schemes for Subset-Connectivity Problems in Bounded-Genus Graphs
We present the first polynomial-time approximation schemes (PTASes) for the following subset-connectivity problems in edge-weighted graphs of bounded genus: Steiner tree, low-conn...
Glencora Borradaile, Erik D. Demaine, Siamak Tazar...
STOC
1995
ACM
145views Algorithms» more  STOC 1995»
13 years 7 months ago
Polynomial time approximation schemes for dense instances of NP-hard problems
We present a unified framework for designing polynomial time approximation schemes (PTASs) for “dense” instances of many NP-hard optimization problems, including maximum cut,...
Sanjeev Arora, David R. Karger, Marek Karpinski