Even vertex equitable even labeling for snake related graphs

Abstract Let G be a graph with p vertices and q edges and A = {0,2,4,···, q+1} if q is odd or A = {0,2,4,···,q} if q is even. A graph G is said to be an even vertex equitable even labeling if there exists a vertex labeling f : V (G) → A that induces an edge labeling f∗ de&#64...

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Autores principales:	Lourdusamy,A., Wency,S. Jenifer, Patrick,F.
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2019
Materias:	vertex equitable labeling even vertex equitable even labeling double quadrilateral snake double triangular snake.
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000100177
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spelling	oai:scielo:S0716-091720190001001772019-02-08Even vertex equitable even labeling for snake related graphsLourdusamy,A.Wency,S. JeniferPatrick,F. vertex equitable labeling even vertex equitable even labeling double quadrilateral snake double triangular snake. Abstract Let G be a graph with p vertices and q edges and A = {0,2,4,···, q+1} if q is odd or A = {0,2,4,···,q} if q is even. A graph G is said to be an even vertex equitable even labeling if there exists a vertex labeling f : V (G) → A that induces an edge labeling f∗ deﬁned by f∗(uv)=f(u)+f(v) for all edges uv such that for all a and b in A, \|vf(a)−vf(b)\|≤1 and the induced edge labels are 2,4,···,2q, where vf(a) be the number of vertices v with f(v)=a for a ∈ A. A graph that admits even vertex equitable even labeling is called an even vertex equitable even graph. In this paper, we prove that S(D(Qn)), S(D(Tn)), DA(Qm) ʘ nK1, DA(Tm) ʘ nK1, S(DA(Qn)) and S(DA(Tn)) are an even vertex equitable even graphs.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.38 n.1 20192019-03-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000100177en10.4067/S0716-09172019000100177
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	vertex equitable labeling even vertex equitable even labeling double quadrilateral snake double triangular snake.
spellingShingle	vertex equitable labeling even vertex equitable even labeling double quadrilateral snake double triangular snake. Lourdusamy,A. Wency,S. Jenifer Patrick,F. Even vertex equitable even labeling for snake related graphs
description	Abstract Let G be a graph with p vertices and q edges and A = {0,2,4,···, q+1} if q is odd or A = {0,2,4,···,q} if q is even. A graph G is said to be an even vertex equitable even labeling if there exists a vertex labeling f : V (G) → A that induces an edge labeling f∗ deﬁned by f∗(uv)=f(u)+f(v) for all edges uv such that for all a and b in A, \|vf(a)−vf(b)\|≤1 and the induced edge labels are 2,4,···,2q, where vf(a) be the number of vertices v with f(v)=a for a ∈ A. A graph that admits even vertex equitable even labeling is called an even vertex equitable even graph. In this paper, we prove that S(D(Qn)), S(D(Tn)), DA(Qm) ʘ nK1, DA(Tm) ʘ nK1, S(DA(Qn)) and S(DA(Tn)) are an even vertex equitable even graphs.
author	Lourdusamy,A. Wency,S. Jenifer Patrick,F.
author_facet	Lourdusamy,A. Wency,S. Jenifer Patrick,F.
author_sort	Lourdusamy,A.
title	Even vertex equitable even labeling for snake related graphs
title_short	Even vertex equitable even labeling for snake related graphs
title_full	Even vertex equitable even labeling for snake related graphs
title_fullStr	Even vertex equitable even labeling for snake related graphs
title_full_unstemmed	Even vertex equitable even labeling for snake related graphs
title_sort	even vertex equitable even labeling for snake related graphs
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2019
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000100177
work_keys_str_mv	AT lourdusamya evenvertexequitableevenlabelingforsnakerelatedgraphs AT wencysjenifer evenvertexequitableevenlabelingforsnakerelatedgraphs AT patrickf evenvertexequitableevenlabelingforsnakerelatedgraphs
_version_	1718439846175834112

Even vertex equitable even labeling for snake related graphs

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