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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Universidad Católica del Norte, Departamento de Matemáticas
2016
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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 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 φ* from the edge set of G to {a|1 ≤ a ≤ 3q - 2 and either a ≡ 1(mod 3)} given by <img src="http:/fbpe/img/proy/v35n3/art5_fig1.jpg" width="242" height="77"> and the function φ 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 |
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Mean labeling one modulo three graceful labeling one modulo three mean labeling one modulo three mean graphs transformed tree |
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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 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 φ* from the edge set of G to {a|1 ≤ a ≤ 3q - 2 and either a ≡ 1(mod 3)} given by <img src="http:/fbpe/img/proy/v35n3/art5_fig1.jpg" width="242" height="77"> and the function φ 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 |
_version_ |
1718439815199850496 |