Dates

7.11. (dynamic programming on trees)
14.11. dynamic programming on trees and circular-arc graphs; treewidth
21.11. dynamic programming on tree decompositions; nice tree decompositions

Reading

Kleinberg, Tardos: Algorithm Design [PDF]

Algorithm for Vertex Cover on tree decompositions:
R. Niedermayer: Invitation to Fixed-Parameter Algorihtms: [PDF]
 

Additional material

If you want to know more, or want to look at things from a slightly different, more theoretical angle, Jiri Fiala (MFF UK) has a nice text called Graph minors, decompositions and algorithms

Slides