Özet:
The idea of finding analogies and generalizations to some concepts from continuous mathematics has led to the study of several new topics in discrete structures. Convexity is such a concept that has been widely studied in graphs during the last few decades. In this thesis, we focus on the notions of geodetic and hull sets. First, in Chapter 2, we survey a number of results concerning these two notions. In Chapter 3, we mainly deal with the computation of geodetic number in some special graph classes.