Seminar on Algorithms (236813)

LP/IP problems with LR/PD techniques


( Grades from winter 10)

Course info page

For registration please e-mail:
to: reuven@cs.technion.ac.il
Subject: seminar 236813
body: your info, in the format:
Name+FamilyName+email+ID+Phone#+AverageGrade
e.g. Reuven Bar-Yehuda reuven@cs 123456789 04-8294332 87

The seminar will focus on two approaches that were used to construct many approximation algorithms during the last two decades: the primal-dual schema and the local-ratio technique (though, rounding may come up as well).

We will start with a short introduction to the field of approximation algorithms, and then an overview of both methods will be presented.

The studies that will be presented during the semester deal with a variety of problems including several fundamental problems, such as the Steiner forest problem, the metric uncapacitated facility location problem, and the feedback vertex set problem.


Details

Instructor: Reuven Bar-Yehuda
Time: Thr. 14:30-17:30 (average of 2 hours a week)
Place: Taub 4 (at Floor 1)


# Date Topic of Paper (Sellect from below or: Collection of Local ratio papers) Speaker
1
15/10/09
Introduction - Optimization and Approximation
(Vazirani's notes: Chapters I+II pages 3-15 (PS)) (Compendium intro) (Slides)
Alexander Nus -2
2
22/10/09
Intro to linear programming ( CLRS book, at technion library)
...and its use in approximation algorithms (Vazirani's notes: Chapters 11 pages 59-62 (PS)) (Slides)
Tal Weiss
3 29/10/09 The Primal Dual Method for Approximation Algorithms (Vazirani's notes: Chapters 12-13 pages 63-72 (PS)) (slides) Benjamin Klein
Teacher 5/11/09 R. Bar-Yehuda. One for the price of two (paper) (Slides) (Movie) Reuven Bar-Yehuda
4 12/11/09 Bar-Yehuda, R., Using Homogeneous Weights for Approximating the Partial Cover Problem, Journal of Algorithm, 39, 137-144, 2001. ( PDF ) (Slides) Raeda Zoabi
5 19/11/09 R. Bar-Yehuda I. Feldman and D. Rawitz, Improved Approximation Algorithm for Convex Recoloring of Trees, WAOA 2005, Theory of Computing Systems, 43, 3-18, 2008. ( PDF) (Slides) (Summary page) Netanel Raviv
Teacher 26/11/09 A. Bar-Noy, R. Bar-Yehuda, A. Freund, S. Naor, and B. Schieber. A Unified Approach to Approximating Resource Allocation and Scheduling (Slides ) Reuven Bar-Yehuda
6 3/12/09 Reuven Bar-Yehuda and Jonathan Laserson Exploiting Locality: Approximating Sorting Buffers, WAOA 2005, ( PDF ) (Slides1) (Slides2) Eyal Kibbar*
----- 10/12/09 NO CLASS NO CLASS
----- 17/12/09 HANUKA NO CLASS
Teacher 24/12/09 LP Rounding using Fractional Local Ratio (Slides) Reuven Bar-Yehuda
7 31/12/09 FVS via Primal Dulal (Slides) Lior Teller
8 7/1/10 The Minimum Substring Cover Problem By Danny Hermelin, Dror Rawitz, Romeo Rizzi, and Stephane Vialette Published in Information and Computation journal, Volume 206 (Slides) Keren Lenz*
9 NEXT 14/1/10 Node Deletion Daniel Dorr*
-- 21/1/10 Hall theorem via local ratio (txt) Reuven Bar-Yehuda


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