Examens corriges

Algorithm Theory Exercise Sheet 8

Prove the correctness of your algorithm. (b) Show that any deterministic online algorithm for the online vertex cover problem has competitive ratio at least 2.



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Exercise sheet 2 - Fachbereich Mathematik - Universität Tübingen
Exercise 2. (6 Points). Let A(V ) be the affine space of the vector space V , H1,H2,H3 ? A(V ) any three distinct parallel.
Exercise 3
Now, suppose we run a Quicksort algorithm where the partition is unbalanced but maintains a constant 1:10 ratio between the lengths of the subarrays. ? Give 
Exercise Sheet 3 - Institut für Mathematik - TU Berlin
Exercise 1: Ceva's Theorem. (2 pts). Consider a triangle ?(A1,A2,A3) in the plane an let P12, P23, P31 be some points on the lines (A1A2), (A2A3), (A3A1), 
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