Super [formula omitted]-EAT labeling of subdivided stars

Abstract

Kotzig and Rosa conjectured that every tree admits an edge-magic total labeling. Enomoto et al. proposed the conjecture that every tree is a super (a,0)-edge-antimagic total graph. In this paper, we formulate a super (a,d)-edge-antimagic total labeling on the subdivided star T(n,n,n+4,n+4,n5,n6...,nr) for d∈{0,1,2}, where r≥5, np=2p−4(n+3)+1, 5≤p≤r and n≥3 is odd.