Characterizations of regular magic graphs

Doob, 1974, On the construction of magic graphs, 361 Doob, 1974, Generalizations of magic graphs, J. Combinatorial Theory Ser. B, 17, 205, 10.1016/0095-8956(74)90027-6 Guy, 1973, Monthly research problems, 1969–1973, Amer. Math. Monthly, 80, 1120, 10.2307/2318549 Kotzig, 1970, Magic valuations of finite graphs, Canad. Math. Bull., 13, 451, 10.4153/CMB-1970-084-1 Sedláček, 1963, Problem 27, 163 Seidel, 1968, Strongly Regular Graphs with (−1, 1, 0) adjacency matrix having eigenvalue 3, Linear Algebra and Appl., 1, 281, 10.1016/0024-3795(68)90008-6 Stanley, 1973, Linear homogenious diophantine equations and magic labelings of graphs, Duke Math. J., 40, 607, 10.1215/S0012-7094-73-04054-4 Stewart, 1966, Magic graphs, Canad. J. Math., 18, 1031, 10.4153/CJM-1966-104-7 Stewart, 1967, Super magic complete graphs, Canad. J. Math., 19, 427, 10.4153/CJM-1967-035-9 Tutte, 1965, Lectures on matroids, J. Res. Nat. Bur. Stand. Sect. B, 69, 1, 10.6028/jres.069B.001