On super edge-antimagic total labelings of mKn

AbstractA graph G of order p and size q is called (a,d)-edge-antimagic total if there exists a bijective function f:V(G)∪E(G)→{1,2,…,p+q} such that the edge-weights w(uv)=f(u)+f(v)+f(uv), uv∈E(G), form an arithmetic sequence with first term a and common difference d. The graph G is said to be super (a,d)-edge-antimagic total if the vertex labels are 1,2,…,p. In this paper we study super (a,d)-edge-antimagic properties of mKn, that is, of the graph formed by the disjoint union of m copies of Kn