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On zero-sum partitions and anti-magic trees. (English) Zbl 1229.05031
Summary: We study zero-sum partitions of subsets in abelian groups, and apply the results to the study of anti-magic trees. Extension to the nonabelian case is also given.

MSC:
05A17 Combinatorial aspects of partitions of integers
05C05 Trees
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[1] Alon, N.; Kaplan, G.; Lev, A.; Roditty, Y.; Yuster, R., Dense graphs are anti-magic, J. graph theory, 47, 297-309, (2004) · Zbl 1055.05132
[2] Figueroa-Centeno, R.M.; Ichishima, R.; Muntaner-Batle, F.A., Bertrand’s postulate and magical product labelings, Bulletin of the ICA, 30, 53-65, (2000) · Zbl 0959.05103
[3] M. Herzog, G. Kaplan, A. Lev, Universal partitions, preprint
[4] M. Herzog, G. Kaplan, A. Lev, Covering the alternating groups by products of cycle classes, J. Combinatorial Theory Ser. A (in press) · Zbl 1172.20002
[5] Hartsfield, N.; Ringel, G., Pearls in graph theory, (1990), Academic Press, INC. Boston, pp. 108-109. Revised version 1994
[6] Kaplan, G.; Lev, A.; Roditty, Y., Bertrand’s postulate, the prime number theorem and product anti-magic graphs, Discrete math., 308, 787-794, (2008) · Zbl 1140.05050
[7] O. Pihurko, Characterization of product anti-magic graphs of large order, preprint
[8] Robinson, D.J.S, A course in the theory of groups, (1982), Springer-Verlag, INC. New York · Zbl 0496.20038
[9] West, D., Introduction to graph theory, (1996), Simon@Schuster A Viacom Company Upper Saddle River, NJ 07458 · Zbl 0845.05001
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