Antimagic labeling of Triangular book graph and double fan graph

Abstract

In 1990, Hartsfield and Ringel (N. Hartsfield and G. Ringel,  Pearls in Graph Theory, Academic Press, San Diego, 1990) introduced the concept of antimagic labeling. Antimagic labeling of a graph \textit{G }is a one-one correspondence between \textit{G }and ${1,2,\ldots,\left|E\right|\}$ such that the sums of labels assigned to the edges incident to distinct vertices are different. In this paper we prove that triangular book graph and double fan graph admit antimagic labeling.