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PODC
2010
ACM
15 years 10 months ago
A modular approach to shared-memory consensus, with applications to the probabilistic-write model
We define two new classes of shared-memory objects: ratifiers, which detect agreement, and conciliators, which ensure agreement with some probability. We show that consensus can...
James Aspnes
FOCS
2004
IEEE
15 years 10 months ago
Edge-Disjoint Paths in Planar Graphs
We study the maximum edge-disjoint paths problem in undirected planar graphs: given a graph G and node pairs (demands) s1t1, s2t2, . . ., sktk, the goal is to maximize the number ...
Chandra Chekuri, Sanjeev Khanna, F. Bruce Shepherd
FOCS
2004
IEEE
15 years 10 months ago
The Hardness of Metric Labeling
The Metric Labeling problem is an elegant and powerful mathematical model capturing a wide range of classification problems. The input to the problem consists of a set of labels a...
Julia Chuzhoy, Joseph Naor
FOCS
2004
IEEE
15 years 10 months ago
An Approximate Max-Steiner-Tree-Packing Min-Steiner-Cut Theorem
Given an undirected multigraph G and a subset of vertices S V (G), the STEINER TREE PACKING problem is to find a largest collection of edge-disjoint trees that each connects S. T...
Lap Chi Lau
GD
2006
Springer
15 years 10 months ago
On the Decay of Crossing Numbers
The crossing number cr(G) of a graph G is the minimum number of crossings over all drawings of G in the plane. In 1993, Richter and Thomassen [RT93] conjectured that there is a co...
Jacob Fox, Csaba D. Tóth