To understand chaos theory in graphs we need to know what chaos theory means?

Chaos theory explains the phenomenon of existence of order in a semingly unordered or chaotic ,disturbed environment.so what I mean to say is no matter how random things may seem it always has a reason that is it can be explained as a function of a set of variables.

With respect to graphs Chaos theory plays a major role in social network.So let’s take a sample problem of a party where 5 people are invited,and their relationship between any pair can be any element of the following set R= {friend,for}.So, chaos theory demands that in this semingly unordered illustration order should emerge.Hence we come up on Ramsey theory.If we express the 5 people we invited to the party as nodes of a graph then the complete graph K5 will have a clique of 3 friends or 3 foes.Even though this may seem to be trivial this has a colossal impact on our understanding of the social networking .With respect to social networking the set R is modified to be R={friends,acquaintances,not friends}.So,the next time Facebook suggests you that a certain person could be a potential friend even though you do not have any mutual friends then remember this is how they do it.