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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Universidad Católica del Norte, Departamento de Matemáticas
2017
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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 |
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English |
topic |
Integer additive set-indexers arithmetic integer additive set-indexers prime arithmetic integer additive set-indexers |
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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 |
work_keys_str_mv |
AT sudevnk astudyonprimearithmeticintegeradditivesetindexersofgraphs AT germinaka astudyonprimearithmeticintegeradditivesetindexersofgraphs AT sudevnk studyonprimearithmeticintegeradditivesetindexersofgraphs AT germinaka studyonprimearithmeticintegeradditivesetindexersofgraphs |
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1718439821947437056 |