This paper investigates the degree of collaboration between professors using an undirected graph. Since in the beginning of FINKI, part of the teaching staff comes from teaching groups from PMF, while another part from teaching groups from FEIT, the goal is to consider where cooperation is more common and where it is not between teaching groups respectively. How and to what extent the new staff of FINKI have mutual influence. Since these data are difficult to visualize as data sets, graph theory was used.