Interactive storytelling is the art of telling stories enhanced with technological, social or collaborative interactive features to offer content adapted to new behaviours.(https://medium.com/@benhoguet/what-is-interactive-storytelling-46bfdd2a8780#.ny19dyhf7)
Branching is a technique used to make a design interactive. The term means creating a divide into one or more subdivisions. The audience is given options to then choose from to see how the story line develops.
Great Example to explain the use of branching in a storyline: Inkle Studios
This is an example of interactive news telling, however this does not allow the audience to interact with the content, and does not use the branching idea. NY Times
In this next example there is a small amount of interactivity from the audience, however there are no options for the audience. Therefore does not use the branching method. soleilnoir
This is an example of a design that has an amazing style and great at storytelling, however there is no branching or options for the viewer. Peugeot Hybrid 4
If this was the brief I decide to use I think I will need to look into finding examples that include the branching technique, as this is a technique I would like to incorporate into my design.