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Proyecciones (Antofagasta)

Print version ISSN 0716-0917

Abstract

SUDEV, N. K.  and  GERMINA, K. A.. A study on prime arithmetic integer additive set-indexers of graphs. Proyecciones (Antofagasta) [online]. 2017, vol.36, n.2, pp.195-208. ISSN 0716-0917.  http://dx.doi.org/10.4067/S0716-09172017000200195.

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 such that the induced function defined by 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.

Keywords : Integer additive set-indexers; arithmetic integer additive set-indexers; prime arithmetic integer additive set-indexers.

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