The Second Malta Conference in Graph Theory and Combinatorics was held in June 2017. This conference commemorated the 75th birthday of Professor Stanley Fiorini, who had introduced graph theory and combinatorics at the University of Malta. Many may wonder when the previous Malta Conference was held. The First Malta Conference on Graphs and Combinatorics was convened during the period 28 May to 2 June, 1990, at the Suncrest Hotel, in Qawra, St Paul’s Bay. It differed from a number of similar conferences held in the central Mediterranean region at that time in that it consisted of three types of talks. László Lovász and Carsten Thomassen delivered two instructional courses of five one-hour lectures each; the former was A Survey of Indep...