Algorithms and Data CS 4800 Karl Lieberherr Due: Thursday, April 7, 2010 Still doing the Scientific Community Game but now with hypotheses related to Network Flow. We turn exercise 7.12 (Chapter 7) into a hypothesis: I claim that I have a polynomial-time algorithm to solve 7.12. We turn exercise 7.23 (Chapter 7) into a hypothesis: I claim I have an algorithm whose running time is within a constant factor of the time required to compute a single maximum flow. Please take turns: if Bob proposes first the hypothesis for problem 7.12 then Alice first proposes the other hypothesis. The refutation protocol is about finding a bug in the algorithm by giving it an input where it produces the wrong result or by showing that it runs too slow. What to turn in: A text file containing the protocols which should describe a solution to 7.12 and 7.23.