Algorithms Seminar/Spring10
From ResearchWiki
(Difference between revisions)
(→Schedule) |
(→Reading Dumplist) |
||
| Line 85: | Line 85: | ||
* [http://www2.informatik.hu-berlin.de/~grohe/pub/gro03b.pdf Local treewidth and approximations] | * [http://www2.informatik.hu-berlin.de/~grohe/pub/gro03b.pdf Local treewidth and approximations] | ||
* [http://e-math1.ams.org/bull/2006-43-01/S0273-0979-05-01088-8/S0273-0979-05-01088-8.pdf Lovasz review of graph minor theory] | * [http://e-math1.ams.org/bull/2006-43-01/S0273-0979-05-01088-8/S0273-0979-05-01088-8.pdf Lovasz review of graph minor theory] | ||
| + | * [http://www.cs.jhu.edu/~jason/papers/eisner.mst-tutorial.pdf MST survey] | ||
Revision as of 08:28, 26 January 2010
Topics in Graph Algorithms
Wed 3:40-5:00 MEB 3105
Contents |
Outline
- separator structures on graphs: planarity, treewidth, and the robertson-seymour theorem
- A tourist guide through treewidth
- Application: junction trees in graphical models (2.5.2)
- Application: solving NP-hard problems on graphs of bounded treewidth.
- General algorithmic methods for solving problems on graphs of bounded treewidth
- Nice survey of Courcelle's theorem and implications.
- separators for graphs with excluded minors
- Spectral properties of graphs
- laplacian and connectivity
- second eigenvalue and cuts. Cheeger's inequality
- Spielman/Teng spectral separator theorem and related notes:
- spectral sparsification
- evasiveness
Participants
- Suresh Venkatasubramanian, Assistant Professor, School of Computing
- Jeff Phillips, CI Postdoctoral Fellow, School of Computing
- Parasaran Raman, PhD Student, School of Computing
- Raj Varma Kommaraju, MS Student, School of Computing
- Avishek Saha, PhD Student, School of Computing
- John Moeller, PhD Student, School of Computing
- Jagadeesh Jagarlamudi, PhD Student, School of Computing
- Piyush Rai, PhD Student, School of Computing
- Ruihong Huang, PhD Student, School of Computing
- Jiarong Jiang, PhD Student, School of Computing
- JT Olds, MS Student, School of Computing
Schedule
| Date | Topic | Paper(s) | Presenter |
|---|---|---|---|
| Planarity, Treewidth and Minors | |||
| Jan 13 | Planar graphs and separators | Lipton-Tarjan separator theorem, Gary Miller's cycle separator | Suresh (notes) |
| Jan 27 | Applications of Separators: The MIS problem | Lipton-Tarjan, Baker | |
| Feb 3 | Treewidth: defns, results, applications | Erickson notes | Parasaran |
| Feb 10 | Minors. well-quasi orders, kruskal, wagner, robertson-seymour. | well-quasi orders, Higman's lemma (Section 3), Kruskal's theorem, Erickson notes | Suresh |
| Feb 17 | Diameter-treewidth: graphs of bounded treewidth exclude planar graphs. bidimensionality. | Ruihong | |
| Spectral Graph Theory | |||
| Feb 24 | Spectral properties of graphs: Laplacian and connectivity | Jiarong | |
| Mar 3 | Second eigenvalue and cuts. Cheeger's inequality | Jags | |
| Mar 10 | Separators via spectral properties | Seth | |
| Mar 17 | Spectral Sparsification | John | |
| Graph Algorithms | |||
| Mar 31 | Planarity Testing | ||
| Apr 7 | Randomized linear time MST | ||
| Apr 14 | |||
| Apr 21 | |||
| Evasiveness: Graphs meet topology | |||
| Apr 28 | |||
| May 5? | |||
