Reverse super edge-trimagic labeling for star related graphs

Abstract

A reverse edge-trimagic labeling on a graph with $p$ vertices and $q$ edges is a one-to-one map taking the vertices and edges onto the integers $1,2, \ldots, p+q$ with the property that satisfies for every edge $e$, the sum of all vertex labels incident on edge $e$ is subtracted from edge label $f(e)$ is either a constant $k_1$ or $k_2$ or $k_3$. The reverse edge -trimagic labeling is said to be reverse super edge - trimagic labeling if $f(v)=\{1,2, \ldots, p\}$ and $f(e)=\{p+1, p+2, \ldots, p+q\}$. In this paper, we investigate the reverse super edge -trimagic labeling of barycentric subdivision of Bi star, Degree Splitting graph of $K_{1, n} \wedge K_{1, n}$ and $K_{1, n} \cup K_{1, n}$, Corona product of $P_3 \square K_1$, splitting graph of star.