Geodesic
Supermagic Complete Graphs
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 427-438

Voir la notice de l'article provenant de la source Cambridge University Press

In our paper “Magic graphs” (1) we showed that every complete graph Kn with n ⩾ 5 is “magic,” i.e., if the vertex set is indicated {vi} and if eij is the edge joining vi and vj, i ≠ j , then there exists a function α(eij) such that the set {α(eij)} consists of distinct positive rational integers and the vertex sums 1 have a constant value σ(α) for k = 1, 2, ... , n. We noted that K 2 is magic and showed that K 3 and K 4 are not magic. 
Stewart, B. M. Supermagic Complete Graphs. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 427-438. doi: 10.4153/CJM-1967-035-9
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Stewart, B. M., Magic graphs, Can. J. Math., 18 (1966), 1031–1059. Google Scholar

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