On antimagic labelings of disjoint union of complete s-partite graphs

摘要

By an (a, d)-edge-antimagic total labeling of a graph G(V, E) we mean a bijective function f from V(G) ∪ E(G) onto the set {1,2,..., |V(G)| + |E(G)|} such that the set of all the edge-weights, w(uv) = f(u) + f(uv) + f(v),uv ∈ E(G), is {a,a + d,a + 2d,...,