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Characterizations of regular magic graphs. (English) Zbl 0384.05054


MSC:

05C99 Graph theory
05C25 Graphs and abstract algebra (groups, rings, fields, etc.)
05C15 Coloring of graphs and hypergraphs
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[1] Doob, M., On the construction of magic graphs, (Proc. Fifth S. E. Conf. on Combinatorics, Graph Theory and Computing (1974)), 361-374 · Zbl 0325.05123
[2] Doob, M., Generalizations of magic graphs, J. Combinatorial Theory Ser. B, 17, 205-217 (1974) · Zbl 0271.05128
[3] Guy, R., Monthly research problems, 1969-1973, Amer. Math. Monthly, 80, 1120-1128 (1973)
[4] Kotzig, A.; Rosa, A., Magic valuations of finite graphs, Canad. Math. Bull., 13, 451-461 (1970) · Zbl 0213.26203
[5] Sedláček, J., Problem 27, (“Theory of Graphs and Its Applications”, Proc. Sym. Smolenice (1963)), 163-164
[6] Seidel, J., Strongly Regular Graphs with (−1, 1, 0) adjacency matrix having eigenvalue 3, Linear Algebra and Appl., 1, 281-298 (1968) · Zbl 0159.25403
[7] Stanley, R., Linear homogenious diophantine equations and magic labelings of graphs, Duke Math. J., 40, 607-632 (1973) · Zbl 0269.05109
[8] Stewart, B. M., Magic graphs, Canad. J. Math., 18, 1031-1059 (1966) · Zbl 0149.21401
[9] Stewart, B. M., Super magic complete graphs, Canad. J. Math., 19, 427-438 (1967) · Zbl 0162.27801
[10] Tutte, W. T., Lectures on matroids, J. Res. Nat. Bur. Stand. Sect. B, 69, 1-47 (1965) · Zbl 0151.33801
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