User-Item graphs
Neighborhood definition
Random Walks
Personalized PageRank or the SimRank method to determine the k most similar users.
Katz Measure
Katz(i,j)=t=1∑∞​βt⋅ηij(t)​ ηij(t)​ is the number of walks of length t between nodes i and j. The value of β is a discount factor.
K=i=1∑∞​(βA)i=(I−βA)−1−I User-User Graphs
Item-Item Graphs