I can give an example, however, as a language model, I cannot produce a graphic. Imaging a social media platform where people can add each other as friends. In this example, we will have 5 users, A,B,C,D, and E. 
Let's say that each of the 2 adjacent letters [A,B],[B,C],[C,D],[D,E] are friends. In this case, since any user can follow a "path" to any other user, the network is connected. 
If instead [C,D] were not friends, then A,B,C could not reach D and E, so it would not be connected. 
Additionally, if every user is friends with every other user, we can call it 'Complete'
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