One modulo three mean labeling of transformed trees

A graph G is said to be one modulo three mean graph if there is an injective function φ from the vertex set of G to the set {a|0 ≤ a ≤ 3q- 2 and either a ≡ 0(mod 3) or a ≡ 1(mod 3)} where q is the number of edges G and φ induces a bijection &...

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Autores principales: Jeyanthi,P, Maheswari,A, Pandiaraj,P
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2016
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172016000300005
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spelling oai:scielo:S0716-091720160003000052016-10-03One modulo three mean labeling of transformed treesJeyanthi,PMaheswari,APandiaraj,P Mean labeling one modulo three graceful labeling one modulo three mean labeling one modulo three mean graphs transformed tree A graph G is said to be one modulo three mean graph if there is an injective function &#966; from the vertex set of G to the set {a|0 &#8804; a &#8804; 3q- 2 and either a &#8801; 0(mod 3) or a &#8801; 1(mod 3)} where q is the number of edges G and &#966; induces a bijection &#966;* from the edge set of G to {a|1 &#8804; a &#8804; 3q - 2 and either a &#8801; 1(mod 3)} given by <img src="http:/fbpe/img/proy/v35n3/art5_fig1.jpg" width="242" height="77"> and the function &#966; is called one modulo three mean labeling of G. In this paper, we prove that the graphs T ° Kn, T ô K1,n, T ô Pn and T ô 2Pn are one modulo three mean graphs.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.35 n.3 20162016-09-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172016000300005en10.4067/S0716-09172016000300005
institution Scielo Chile
collection Scielo Chile
language English
topic Mean labeling
one modulo three graceful labeling
one modulo three mean labeling
one modulo three mean graphs
transformed tree
spellingShingle Mean labeling
one modulo three graceful labeling
one modulo three mean labeling
one modulo three mean graphs
transformed tree
Jeyanthi,P
Maheswari,A
Pandiaraj,P
One modulo three mean labeling of transformed trees
description A graph G is said to be one modulo three mean graph if there is an injective function &#966; from the vertex set of G to the set {a|0 &#8804; a &#8804; 3q- 2 and either a &#8801; 0(mod 3) or a &#8801; 1(mod 3)} where q is the number of edges G and &#966; induces a bijection &#966;* from the edge set of G to {a|1 &#8804; a &#8804; 3q - 2 and either a &#8801; 1(mod 3)} given by <img src="http:/fbpe/img/proy/v35n3/art5_fig1.jpg" width="242" height="77"> and the function &#966; is called one modulo three mean labeling of G. In this paper, we prove that the graphs T ° Kn, T ô K1,n, T ô Pn and T ô 2Pn are one modulo three mean graphs.
author Jeyanthi,P
Maheswari,A
Pandiaraj,P
author_facet Jeyanthi,P
Maheswari,A
Pandiaraj,P
author_sort Jeyanthi,P
title One modulo three mean labeling of transformed trees
title_short One modulo three mean labeling of transformed trees
title_full One modulo three mean labeling of transformed trees
title_fullStr One modulo three mean labeling of transformed trees
title_full_unstemmed One modulo three mean labeling of transformed trees
title_sort one modulo three mean labeling of transformed trees
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2016
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172016000300005
work_keys_str_mv AT jeyanthip onemodulothreemeanlabelingoftransformedtrees
AT maheswaria onemodulothreemeanlabelingoftransformedtrees
AT pandiarajp onemodulothreemeanlabelingoftransformedtrees
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