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

Abstract: 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...

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Autores principales: Sudev,N. K., Germina,K. A.
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2017
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000200195
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spelling oai:scielo:S0716-091720170002001952017-07-06A study on prime arithmetic integer additive set-indexers of graphsSudev,N. K.Germina,K. A. Integer additive set-indexers arithmetic integer additive set-indexers prime arithmetic integer additive set-indexers Abstract: 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.36 n.2 20172017-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000200195en10.4067/S0716-09172017000200195
institution Scielo Chile
collection Scielo Chile
language English
topic Integer additive set-indexers
arithmetic integer additive set-indexers
prime arithmetic integer additive set-indexers
spellingShingle Integer additive set-indexers
arithmetic integer additive set-indexers
prime arithmetic integer additive set-indexers
Sudev,N. K.
Germina,K. A.
A study on prime arithmetic integer additive set-indexers of graphs
description Abstract: 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.
author Sudev,N. K.
Germina,K. A.
author_facet Sudev,N. K.
Germina,K. A.
author_sort Sudev,N. K.
title A study on prime arithmetic integer additive set-indexers of graphs
title_short A study on prime arithmetic integer additive set-indexers of graphs
title_full A study on prime arithmetic integer additive set-indexers of graphs
title_fullStr A study on prime arithmetic integer additive set-indexers of graphs
title_full_unstemmed A study on prime arithmetic integer additive set-indexers of graphs
title_sort study on prime arithmetic integer additive set-indexers of graphs
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2017
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000200195
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AT sudevnk studyonprimearithmeticintegeradditivesetindexersofgraphs
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