I am trying to solve some tasks regarding graph theory and network analysis using Prolog. Given a graph with nodes and connections:
connection(a, b).
connection(b, e).
connection(e, c).
connection(b, c).
connection(c, d).
connection(d, f).
connection(a, d).
connection(a, c).
connection(b, d).
I had to add predicates checking whether a node is connected to another. This is my code:
connected(X, Y) :- connection(X, Y).
connected(X, Y) :- connection(Y, X).
Now I have to write a predicate to check whether a certain graph is a clique or not. So by definition of a clique, whether all nodes are connected to each other or not.
If anyone has suggestions how to approach this, I would love to hear it.