For now, this site includes only the branch of discrete mathematics called combinatorics. Originally it included and indeed emphasized the branch known as graph theory. Refer to Social Network Optimization for that. Both can be used in making society work.
There has been an enormous amount of discussion about social networks, but almost none about social combinatorics. Even social problems that are obviously combinatorial rarely receive attention from mathematicians who know how to solve them. For an example, please see the problem of dividing students at an elementary school grade level into classes on the education website.
This website is one of several about the use of mathematical methods to make society work. One covers a subject that I’ve worked on for decades, the application of graph theory to society, better known as Social Network Optimization. That’s supposedly discrete math as well, but I don’t think it really is — a bit of quantum mechanics probably sneaks in there somehow.