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Let $\mathbb{N}_0$ denote the set of all non-negative integers and$\mathcal{P}(\mathbb{N}_0)$ be its power set. An integer additive set-indexer(IASI) of a graph $G$ is an injective function $f:V(G)\to\mathcal{P}(\mathbb{N}_0)$ such that the induced function $f^+:E(G) \to\mathcal{P}(\mathbb{N}_0)$ defined by $f^+ (uv) = f(u)+ f(v)$ is alsoinjective, where $\mathbb{N}_0$ is the set of all non-negative integers. Agraph $G$ which admits an IASI is called an IASI graph. An IASI of a graph $G$is said to be an arithmetic IASI if the elements of the set-labels of allvertices and edges of $G$ are in arithmetic progressions. In this paper, wediscuss about two special types of arithmetic IASIs.

On Certain Arithmetic Integer Additive set-indexers of Graphs