R Data Structures and Algorithms

Chapter 9. Programming and Randomized Algorithms

In the preceding chapters, we covered some fundamental data structures and algorithms. The current chapter extends static algorithm (deterministic algorithm) concepts to randomized algorithms. Deterministic algorithms use polynomials of the size of the input, whereas random algorithms use random sources as input and make their own choices. The chapter will introduce the Las Vegas and the Monte Carlo randomized algorithms and their application using examples. The chapter will also introduce skip list and its extended version, randomized skip list, which uses randomization concepts to reduce the computation effort in an average case scenario. We will start with the fundamentals of programming, which ...