Complementary nil vertex edge dominating sets

Dominating sets play a vital role in day-to-day life problems. For-providing effective services in a location, central points are to be identified. This can easily be achieved by graph theoretic techniques. Such graphs and relevant parameters are introduced and extensively studied. One such paramete...

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Autores principales: Siva Rama Raju,S. V., Nagaraja Rao,I. H.
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2015
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000100001
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spelling oai:scielo:S0716-091720150001000012015-07-13Complementary nil vertex edge dominating setsSiva Rama Raju,S. V.Nagaraja Rao,I. H. Complementary nil vertex edge domination complementary nil vertex edge domination number connected domination Dominating sets play a vital role in day-to-day life problems. For-providing effective services in a location, central points are to be identified. This can easily be achieved by graph theoretic techniques. Such graphs and relevant parameters are introduced and extensively studied. One such parameter is complementary nil vertex edge dominating set(cnved-set). A vertex edge dominating set(ved-set) of a connected graph G with vertex set V is said to be a complementary nil vertex edge dominating set(cnved-Set) of G if and only if V - D is not a ved-set of G. A cnved-set of minimum cardinality is called a minimum cnved-set(mcnved-set)of G and this minimum cardinality is called the complementary nil vertex-edge domination number of G and is denoted by &#947cnve(G). We have given a characterization result for a ved-set to be a cnved-set and also bounds for this parameter are obtained.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.34 n.1 20152015-03-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000100001en10.4067/S0716-09172015000100001
institution Scielo Chile
collection Scielo Chile
language English
topic Complementary nil vertex edge domination
complementary nil vertex edge domination number
connected domination
spellingShingle Complementary nil vertex edge domination
complementary nil vertex edge domination number
connected domination
Siva Rama Raju,S. V.
Nagaraja Rao,I. H.
Complementary nil vertex edge dominating sets
description Dominating sets play a vital role in day-to-day life problems. For-providing effective services in a location, central points are to be identified. This can easily be achieved by graph theoretic techniques. Such graphs and relevant parameters are introduced and extensively studied. One such parameter is complementary nil vertex edge dominating set(cnved-set). A vertex edge dominating set(ved-set) of a connected graph G with vertex set V is said to be a complementary nil vertex edge dominating set(cnved-Set) of G if and only if V - D is not a ved-set of G. A cnved-set of minimum cardinality is called a minimum cnved-set(mcnved-set)of G and this minimum cardinality is called the complementary nil vertex-edge domination number of G and is denoted by &#947cnve(G). We have given a characterization result for a ved-set to be a cnved-set and also bounds for this parameter are obtained.
author Siva Rama Raju,S. V.
Nagaraja Rao,I. H.
author_facet Siva Rama Raju,S. V.
Nagaraja Rao,I. H.
author_sort Siva Rama Raju,S. V.
title Complementary nil vertex edge dominating sets
title_short Complementary nil vertex edge dominating sets
title_full Complementary nil vertex edge dominating sets
title_fullStr Complementary nil vertex edge dominating sets
title_full_unstemmed Complementary nil vertex edge dominating sets
title_sort complementary nil vertex edge dominating sets
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2015
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000100001
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