Algorithms Seminar/Spring10
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| Feb 24 || Spectral properties of graphs: Laplacian and connectivity||Dan Spielman's lecture notes, [http://www.cs.yale.edu/homes/spielman/561/lect02-09.pdf part I] and [http://www.cs.yale.edu/homes/spielman/561/lect03-09.pdf part II] || Jiarong | | Feb 24 || Spectral properties of graphs: Laplacian and connectivity||Dan Spielman's lecture notes, [http://www.cs.yale.edu/homes/spielman/561/lect02-09.pdf part I] and [http://www.cs.yale.edu/homes/spielman/561/lect03-09.pdf part II] || Jiarong | ||
|- | |- | ||
| - | | Mar 3 || Second eigenvalue and cuts. Cheeger's inequality|| || Jags | + | | Mar 3 || Second eigenvalue and cuts. Cheeger's inequality|| Dan Spielman's lecture notes ([http://www.cs.yale.edu/homes/spielman/561/lect05-09.pdf part I] (for the importance of the second eigenvalue of L, and [http://www.cs.yale.edu/homes/spielman/561/lect07-09.pdf part II], for Cheeger's inequality)|| Jags |
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| Mar 10 || Separators via spectral properties|| || Seth | | Mar 10 || Separators via spectral properties|| || Seth | ||
Revision as of 07:22, 22 February 2010
Topics in Graph Algorithms
Wed 3:40-5:00 MEB 3105
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, PhD Student, School of Computing
- Seth Juarez, PhD 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 | JT |
| Feb 3 | Treewidth: defns, results, applications | Erickson notes. Also read Shiva Kintali's recent blog post. Bodlaender'96 | 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. | My notes, Demaine/Hajighayi paper on bidimensionality for approximations (only Section 4) | Ruihong |
| Spectral Graph Theory | |||
| Feb 24 | Spectral properties of graphs: Laplacian and connectivity | Dan Spielman's lecture notes, part I and part II | Jiarong |
| Mar 3 | Second eigenvalue and cuts. Cheeger's inequality | Dan Spielman's lecture notes (part I (for the importance of the second eigenvalue of L, and part II, for Cheeger's inequality) | Jags |
| Mar 10 | Separators via spectral properties | Seth | |
| Mar 17 | Spectral Sparsification | John | |
| Graph Algorithms | |||
| Mar 31 | Planarity Testing | Piyush | |
| Apr 7 | Randomized linear time MST | Raj | |
| Apr 14 | All pairs-shortest paths | JT | |
| Apr 21 | Brian M | ||
| Evasiveness: Graphs meet topology | |||
| Apr 28 | |||
| May 5? | |||
Reading Dumplist
- On computing graph minor obstruction sets
- Local treewidth and approximations
- Lovasz review of graph minor theory
- MST survey
- 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
- Hot off the presses: Evasiveness and the Distribution of Prime Numbers
