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Resumen de A study on prime arithmetic integer additive set-indexers of graphs.

N. K. Sudev, K. A. Germina

  • Let N₀ be the set of all non-negative integers and P(N₀)be its power set. An integer additive set-indexer (IASI) is defined as an injective function f:V (G) → P(N₀) such that the induced function f⁺: E (G) → P(N₀) defined by f⁺(uv) = f(u) + f(v) is also injective, where N₀ is the set of all non-negative integers. A graph 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 all vertices and edges of G are in arithmetic progressions. In this paper, we discuss about a particular type of arithmetic IASI called prime arithmetic IASI.


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