E-Super edge magic graceful labeling of graphical image of trisomy ultrascan

Abstract

 Let $G$ be a $(p,q)$ graph. An $E$-super edge magic graceful labeling ($E$-SEMGL) of $G$ is an one-one onto function $f$ from $V(G) \cup E(G)$ onto $\{1, 2, \ldots , p + q \}$ with the condition that $f(E(G))= \{1,2, \ldots, q \}$ and for all the edge $uv \in E(G)$, $\left| w(uv) - f(uv)\right| = M$, where $w(uv)=f(u)+f(v)$. In this paper, we study $E$-SEMGL of graphical image of ultrascan.