In recent times, a new system referred to as intelligent transportation systems (ITS) has emerged to enhance transportation security and safety. A key challenge for researchers and industry in ITS has been to improve efficiency of transportation. To provide assistance in ITS applications, a specialized infrastructure called vehicular ad hoc networks (VANETs) has developed, which is a distinct subset of mobile ad hoc networks (MANETs). VANETs differ from MANETs due to their distinct qualities like high vehicle mobility and dynamic network topology. Consequently, protocols designed for MANETs are not suitable for VANETs. Various mobility management schemes have been proposed in the literature to facilitate communication among vehicles and with fixed infrastructure along roadsides. In this chapter the study is carried on that how mobility of vehicles is managed in network by selecting optimal relay vehicle in such a way so that connectivity of vehicles is maintained and data is forwarded by relay vehicle to destination vehicle without any disruption. Basically, a specific spectrum has been allotted for the communication to occur in VANETs. This chapter provides an introductory overview of ITS, VANETs, mobility management across various vehicular environments, and the selection topology for relay vehicles. It also explores different strategies for managing mobility within VANETs. The primary purpose of this review is to explore a variety of recent research contributions aimed at understanding the unique attributes of vehicular communication. This investigation serves as a foundation for further research aimed at improving relay selection protocols.