Restricted triangular difference mean graphs

Abstract Let G = (V,E) be a graph with p vertices and q edges. Consider an injection f : V (G) → {1, 2, 3, ..., pq}. Define f∗ : E(G) → {T 1 , T 2 , T 3 , ..., T q }, where T q is the q th triangular number such that f∗(e) = for all edges e = uv. If f&am...

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Autores principales: Jeyanthi,P., Selvi,M., Ramya,D.
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2020
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000200275
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spelling oai:scielo:S0716-091720200002002752020-05-06Restricted triangular difference mean graphsJeyanthi,P.Selvi,M.Ramya,D. Restricted triangular difference mean labeling Abstract Let G = (V,E) be a graph with p vertices and q edges. Consider an injection f : V (G) → {1, 2, 3, ..., pq}. Define f∗ : E(G) → {T 1 , T 2 , T 3 , ..., T q }, where T q is the q th triangular number such that f∗(e) = for all edges e = uv. If f∗(E(G)) is a sequence of consecutive triangular numbers T 1 , T 2 , T 3 , ..., T q , then the function f is said to be restricted triangular difference mean. A graph that admits restricted triangular difference mean labeling is called restricted triangular difference mean graph. In this paper, we investigate restricted triangular difference mean behaviour of some standard graph.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.39 n.2 20202020-04-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000200275en10.22199/issn.0717-6279-2020-02-0017
institution Scielo Chile
collection Scielo Chile
language English
topic Restricted triangular difference mean labeling
spellingShingle Restricted triangular difference mean labeling
Jeyanthi,P.
Selvi,M.
Ramya,D.
Restricted triangular difference mean graphs
description Abstract Let G = (V,E) be a graph with p vertices and q edges. Consider an injection f : V (G) → {1, 2, 3, ..., pq}. Define f∗ : E(G) → {T 1 , T 2 , T 3 , ..., T q }, where T q is the q th triangular number such that f∗(e) = for all edges e = uv. If f∗(E(G)) is a sequence of consecutive triangular numbers T 1 , T 2 , T 3 , ..., T q , then the function f is said to be restricted triangular difference mean. A graph that admits restricted triangular difference mean labeling is called restricted triangular difference mean graph. In this paper, we investigate restricted triangular difference mean behaviour of some standard graph.
author Jeyanthi,P.
Selvi,M.
Ramya,D.
author_facet Jeyanthi,P.
Selvi,M.
Ramya,D.
author_sort Jeyanthi,P.
title Restricted triangular difference mean graphs
title_short Restricted triangular difference mean graphs
title_full Restricted triangular difference mean graphs
title_fullStr Restricted triangular difference mean graphs
title_full_unstemmed Restricted triangular difference mean graphs
title_sort restricted triangular difference mean graphs
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2020
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000200275
work_keys_str_mv AT jeyanthip restrictedtriangulardifferencemeangraphs
AT selvim restrictedtriangulardifferencemeangraphs
AT ramyad restrictedtriangulardifferencemeangraphs
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