Assignments: A simple pruning algorithm for a sequence graph is described in the appendix of Heins article. In the following you should consider all possible sequence graphs and not only those which can actually occur as a result of Heins or Schwikowskis solution methods (which would probably be much harder to do). Also assume that all paths in the sequence graph have the same length and that the alphabet has the fixed size 4 (e.g. "ATGC"). 1. Make your own formalized description of the algorithm. 2. Try to find the worst-case running time of the algorithm e.g. using examples of worst-case behaviour. 3. Try to suggest one or more improvements to the algorithm with respect to quality of solutions (size of the resulting graph) or with respect to running time. You are also welcome to refer to answers in existing literature or on the web e.g. as a shortcut to item 2 (and maybe even item 3). Deadline: March 16, 2005