Tema: O integralnim grafovima Mentor: Mirko Lepovic U ovom radu se problem odredjivnja nekih beskonacnih klasa integralnih grafova svodi na resavanje nekih klasa Diophantovih jednacina. Upotrebom navedenih metoda od studenta se zahteva da odredi neke klase integralmih grafova koji nisu proucavani u literaturi. Literatura. [1] Cvetkovic, M.\ Doob, H. Sachs, "Spectra of graphs -- Theory and applications, 3rd revised and enlarged edition, J.A.\ Barth Verlag, Heidelberg - Leipzig, 1995. [2] M. Lepovic} "On integral graphs which belong to the class $\overline {\alpha K_{a,b}}$", Graphs and Combinatorics 19(2003), 527--532. [3] M.\ Lepovic, "On integral graphs which belong to the class $\overline {\alpha K_a\cup \beta K_b}$", J. Appl. Math. and Computing Vol. 14 (2004), No. 1-2, pp. 39--49.