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CMU Advanced Algorithms

Monday, November 23, 2009. The Final Three Lectures. Today's lecture, and the two lectures next week are the final three lectures of the course. Today we will do a bit more on approximation algorithms, in particular we will discuss the max-cut problem. Next week we'll talk a bit more about online algorithms via solving LPs, and also on using the ideas behind online learning algorithms to solve LPs offline. Wednesday, November 18, 2009. Monday, November 16, 2009. Lectures 20 and 21 (today and Wednesday).

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CMU Advanced Algorithms | cmu-advancedalgorithms.blogspot.com Reviews

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Monday, November 23, 2009. The Final Three Lectures. Today's lecture, and the two lectures next week are the final three lectures of the course. Today we will do a bit more on approximation algorithms, in particular we will discuss the max-cut problem. Next week we'll talk a bit more about online algorithms via solving LPs, and also on using the ideas behind online learning algorithms to solve LPs offline. Wednesday, November 18, 2009. Monday, November 16, 2009. Lectures 20 and 21 (today and Wednesday).

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2 posted by anupam

3 1 comment

4 no comments

5 lecture 19 notes

6 and hence h

7 set r

8 homework #3

9 2 comments

10 equals convex hull s

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CMU Advanced Algorithms | cmu-advancedalgorithms.blogspot.com Reviews

https://cmu-advancedalgorithms.blogspot.com

Monday, November 23, 2009. The Final Three Lectures. Today's lecture, and the two lectures next week are the final three lectures of the course. Today we will do a bit more on approximation algorithms, in particular we will discuss the max-cut problem. Next week we'll talk a bit more about online algorithms via solving LPs, and also on using the ideas behind online learning algorithms to solve LPs offline. Wednesday, November 18, 2009. Monday, November 16, 2009. Lectures 20 and 21 (today and Wednesday).

INTERNAL PAGES

cmu-advancedalgorithms.blogspot.com

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CMU Advanced Algorithms: November 2009

http://cmu-advancedalgorithms.blogspot.com/2009_11_01_archive.html

Monday, November 23, 2009. The Final Three Lectures. Today's lecture, and the two lectures next week are the final three lectures of the course. Today we will do a bit more on approximation algorithms, in particular we will discuss the max-cut problem. Next week we'll talk a bit more about online algorithms via solving LPs, and also on using the ideas behind online learning algorithms to solve LPs offline. Wednesday, November 18, 2009. Monday, November 16, 2009. Lectures 20 and 21 (today and Wednesday).

2

CMU Advanced Algorithms: Long-delayed Posts I: the Hirsch Conjecture

http://cmu-advancedalgorithms.blogspot.com/2009/11/long-delayed-posts-i-hirsch-conjecture.html

Thursday, November 5, 2009. Long-delayed Posts I: the Hirsch Conjecture. In Lecture 16, when we'd mentioned the simplex algorithm, I'd mumbled something about the diameter of polytopes and the Hirsch conjecture - - here are some details. If you consider a polyhedron defined in d. Dimensions by the intersection of n. Half-spaces, then the Hirsch conjecture says that the diameter of the 1-skeleton of such a polyhedron is at most n-d. Notation - - you can do the translation. A recent survey by Santos and Kim.

3

CMU Advanced Algorithms: Integrality of the Bipartite Perfect Matching Polytope

http://cmu-advancedalgorithms.blogspot.com/2009/11/integrality-of-bipartite-perfect.html

Thursday, November 5, 2009. Integrality of the Bipartite Perfect Matching Polytope. Just to elaborate on what Yuan mentioned in class yesterday: (yet) another way to prove the integrality of the bipartite perfect matching polytope BPM is via the following fact:. Given a Delta-regular bipartite graph, it can be decomposed into Delta perfect matchings. Subscribe to: Post Comments (Atom). The Final Three Lectures. Lectures 20 and 21 (today and Wednesday). Long-delayed Posts II: Cutting Planes.

4

CMU Advanced Algorithms: Homework #3

http://cmu-advancedalgorithms.blogspot.com/2009/11/homework-3.html

Tuesday, November 10, 2009. There was a bug in problem #4b of the homework (thanks, Srivatsan): I've removed that part. November 12, 2009 at 2:10 PM. And part of problem #1b was missing, PDF updated. (thanks, Marco! November 18, 2009 at 11:12 AM. You may assume in the sampling problem that delta lies in [0,1/2]. Subscribe to: Post Comments (Atom). The Final Three Lectures. Lectures 20 and 21 (today and Wednesday). Long-delayed Posts II: Cutting Planes. Integrality of the Bipartite Perfect Matching Poly.

5

CMU Advanced Algorithms: Long-delayed Posts II: Cutting Planes

http://cmu-advancedalgorithms.blogspot.com/2009/11/long-delayed-posts-iii-cutting-planes.html

Friday, November 6, 2009. Long-delayed Posts II: Cutting Planes. Ideally you want to find a set H of halfspaces so that P'(P,H) = P intersect (intersection of halfspaces in H). Note that this P' is the smallest convex body that can contain all of S. As a simple illustration, if you have the following inequalities. Graphing this, we get:. Adding the first two inequalities gives us. But since we only care about integer values of x,y, we can round down the RHS, and get the following "valid" inequality:.

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cs.cmu.edu

Anupam Gupta

http://www.cs.cmu.edu/~anupamg

Department of Computer Science. Ph: (412) 268 7127. Fax: (412) 268 5576. Admin assistant: Nancy Conway, Gates 7129, 268-6019. Theory@CMU: The theory group. And the ACO program. Most of my publications. My research interests are in Theoretical Computer Science, with. An emphasis on Approximation Algorithms. S a visual representation of my publication titles (circa 2009). My work has been supported by several grants from the NSF (including a CAREER Award. And an Alfred P. Sloan Research Fellowship.

cs.cmu.edu

15-859(E): Advanced Algorithms, Fall 2009

http://www.cs.cmu.edu/afs/cs.cmu.edu/academic/class/15859-f09/www

15-859(E): Advanced Algorithms, Fall 2009. MW 3:00-4:20, GHC 4303. Http:/ cmu-advancedalgorithms.blogspot.com/. MSTs: intro, Prim, Kruskal, Boruvka, O(m log log n). Time using Fibonacci heaps, Fredman-Tarjan and O(m log* n). Bob Tarjan's lecture notes. Graham and Hell's survey. CMU only, 20M file). Heaps: Fibonacci heaps. ( Sleator's Notes. Lecture 3 and 4:. Analysis of disjoint set algorithms. Top-Down Analysis of Path Compression. By Raimund Seidel and Micha Sharir. R Tarjan, Finding optimal branchings.

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cmu-advancedalgorithms.blogspot.com

CMU Advanced Algorithms

Monday, November 23, 2009. The Final Three Lectures. Today's lecture, and the two lectures next week are the final three lectures of the course. Today we will do a bit more on approximation algorithms, in particular we will discuss the max-cut problem. Next week we'll talk a bit more about online algorithms via solving LPs, and also on using the ideas behind online learning algorithms to solve LPs offline. Wednesday, November 18, 2009. Monday, November 16, 2009. Lectures 20 and 21 (today and Wednesday).

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