Thesis Proposal Simplicial Complex Strength through Face Vector

One way to model the social network is to use simplicial complex, where we use a simplex to model cooperation, so a simplex of 3 people is different from 3 pairs in a graph representation of the social graph. Given two simplicial complexes, we want to be able to compare them and tell which one is better, one way to do this is to compare the face vector of these two simplicial complex, however in general this is difficult to calculate the face vector, in this proposal we are going to discuss the difficulty and ways to circumvent or resolve them.