Abstract

A total labeling $\xi$ is defined to be an edge irregular total absolute difference $k$-labeling of the graph $G$ if for every pair of different edges $e$ and $f$ of $G$ we have $wt(e) \neq wt(f)$ where weight of an edge $e = xy$ is defined as $wt(e)=|\xi(e) - \xi(x) - \xi(y)|$. The minimum $k$ for which the graph $G$ has an edge irregular total absolute difference labeling is called the total absolute difference edge irregularity strength of the graph $G$, $tades(G)$. In this paper, we compute the total absolute difference edge irregularity strength of the super subdivision of certain families of graphs, corona related graphs and grid related graphs.

Keywords and Phrases

Total absolute difference edge irregularity strength, edge irregularity strength, super subdivision, corona graph.

A.M.S. subject classification

05C78.

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