1 Introduction
1.1 Distance parameters and their generalizations
1.2 Some other Steiner structural parameters
1.3 Application backgrounds
2 Steiner Distance
3 Steiner Diameter
4 Average Steiner Distance and Steiner Wiener Index
5 Steiner Center and Steiner Median
6 Steiner Distance Hereditary Graphs
7 Steiner Intervals in Graphs
8 Steiner Distance Stable Graphs
9 Extremal problems on Steiner diameter