Bacterial conjugation involves the transfer of genetic material between two bacterial cells through direct contact. It is mediated by specialized conjugative plasmids that contain genes for forming a pilus to connect the cells and for cutting and replicating the plasmid DNA to transfer it to the recipient cell. Well-studied conjugative plasmids are the F and R plasmids, and they contain genes like traJ that initiate the process of mating and formation of structures for genetic transfer.