Here is the problem:
There are connected graph with nodes representing a number of people. Each node/person has an opinion on a topic e.g. trump vs clinton, paper books vs kindle, etc
The goal is make every node in a graph share the same opinion, by selecting a specific subset of nodes, in a particular sequence.
If majority of a person A's friends support trump, but person A supports clinton. if person A is selected, his/her opinion will change to trump.
If person's friends opinions are equally divided, then you can decided the selected person's opinion.
I am running out of ideas as how to proof this is achievable. Maybe some of you can give me some pointers.