The South-eastern suburbs of Melbourne include an area around part of the east coast of Port Phillip Bay.
Melbourne expanded massively after the Second World War, particularly to the south-east, swallowing up previously-distinct cities like Oakleigh and Dandenong. Some of these suburbs are very working-class and industrial, particularly on the outskirts of the city, and others were more industrial in the past but the factories have closed down (leaving the buildings still standing). Yet other parts of the south-east suburbs are quite expensive and wealthy, particularly bayside suburbs like Brighton, and the ones closer to the city like Caulfield. There are also a number of suburbs that are identified strongly with a particular ethnic group – for example, Oakleigh with the Greek community, Springvale with the Vietnamese, and Dandenong (more recently) with the Afghan. The south-east suburbs are also home to a sizeable student population, as Monash University (the largest, by number of students, in Australia) has four campuses in the area.
Although all of Melbourne is an extremely safe city, some of the south-eastern suburbs have a local reputation of having a much higher crime rate than other areas of the city. You should be careful of your belongings, and avoid travel during the night. There should be no issues during the day. The larger suburbs of Frankston and Dandenong seem to be the most notorious.