Super edge-antimagic labelings of the generalized Petersen graph P(n, (n - 1)/2)
Martin Bača, Edy Tri Baskoro, Rinovia Simanjuntak, Kiki Ariyanti · FedUni ResearchOnline (Federation University Australia) · 2006
An (a,d)-edge-antimagic total labeling of G is a one-to-one mapping f taking the vertices and edges onto 1, 2,..., vertical bar V (G)vertical bar + vertical bar E(G)vertical bar so that the edge-weights w(xy) = f(x) + f(y) + f(xy), xy is an element of E(G), form an arithmetic progression with initial term a and common difference d. An (a, d)-edge-antimagic total labeling is called super (a,d)-edge-antimagic total if f(V(G)) = {1, 2,..., vertical bar V(G)vertical bar}. This paper considers such labelings applied to cycles and generalized Petersen graphs.