C. Stein

Publications180
h-index47
Citations17,416
Highly Influential Citations1,194
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Introduction to Algorithms, Second Edition
TLDR
The complexity class P is formally defined as the set of concrete decision problems that are polynomial-time solvable, and encodings are used to map abstract problems to concrete problems.
Introduction to Algorithms, third edition
TLDR
Pseudo-code explanation of the algorithms coupled with proof of their accuracy makes this book a great resource on the basic tools used to analyze the performance of algorithms.
Introduction to Algorithms, 2nd edition.
Introduction to Algorithms, 3rd Edition
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A new approach to the minimum cut problem
TLDR
A randomized, strongly polynomial algorithm that finds the minimum cut in an arbitrarily weighted undirected graph with high probability with a significant improvement over the previous time bounds based on maximum flows.
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Approximation techniques for average completion time scheduling
TLDR
It is shown that a preemptive one-machine relaxation is a powerful tool for designing parallel machine scheduling algorithms that simultaneously produce good approximations and have small running times, and a general theorem relating the value of one- machine relaxations to that of the schedules obtained for the original m-machine problems is proved.
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Approximation schemes for minimizing average weighted completion time with release dates
TLDR
This work presents the first known polynomial time approximation schemes for several variants of the problem of scheduling n jobs with release dates on m machines so as to minimize their average weighted completion time.
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Optimal Time-Critical Scheduling via Resource Augmentation
TLDR
This work establishes that several well-known on-line algorithms, that have poor performance from an absolute worst-case perspective, are optimal for the problems in question when allowed moderately more resources.
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Minimizing average completion time in the presence of release dates
TLDR
This paper gives the first constant-factor approximation algorithms for several variants of the single and parallel machine models and generalizes to the minimization of averageweighted completion time as well.
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Approximating Disjoint-Path Problems Using Greedy Algorithms and Packing Integer Programs
TLDR
These techniques lead to the first approximation algorithm and obtain an approximation ratio that matches, to within logarithmic factors, the $O(\sqrt{|E|})$ approximation ratio for the simple edge-disjoint path problem.
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