Abstract
This chapter presents another set of useful and famous problems. This time, however, nobody knows yet whether they are in P. No algorithms have been discovered yet that solve these problems in polynomial time. For simplicity, all problems in this chapter will be formulated as decision problems. The problems include the Travelling Salesman Problem, the Graph Colouring Problem, the Max-Cut Problem, which are all graph problems, the 0-1 Knapsack Problem and the Integer Programming Problem. The consequence for a problem “being decidable in polynomial time” is also discussed.
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