k-super cube root cube mean labeling of graphs

Abstract Consider a graph G with |V (G)| = p and |E(G)| = q and let f : V (G) → {k, k + 1, k + 2, . . . p + q + k − 1}} be an injective function. The induced edge labeling f ∗ for a vertex labeling f is defined by f ∗ (e) = for all e = uv ∈ E(G) is b...

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Main Author:	Princy Kala,V.
Language:	English
Published:	Universidad Católica del Norte, Departamento de Matemáticas 2021
Subjects:	k-super cube root cube mean labeling k-super cube root cube mean graph snake graph alternate snake graph
Online Access:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000501097
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spelling	oai:scielo:S0716-091720210005010972021-10-05k-super cube root cube mean labeling of graphsPrincy Kala,V. k-super cube root cube mean labeling k-super cube root cube mean graph snake graph alternate snake graph Abstract Consider a graph G with \|V (G)\| = p and \|E(G)\| = q and let f : V (G) → {k, k + 1, k + 2, . . . p + q + k − 1}} be an injective function. The induced edge labeling f ∗ for a vertex labeling f is defined by f ∗ (e) = for all e = uv ∈ E(G) is bijective. If f(V (G)) ∪ {f ∗ (e) : e ∈ E(G)} = {k, k + 1, k + 2, . . . , p + q + k − 1}, then f is called a k-super cube root cube mean labeling. If such labeling exists, then G is a k-super cube root cube mean graph. In this paper, I introduce k-super cube root cube mean labeling and prove the existence of this labeling to the graphs viz., triangular snake graph T n , double triangular snake graph D(T n ), Quadrilateral snake graph Q n , double quadrilateral snake graph D(Q n ), alternate triangular snake graph A(T n ), alternate double triangular snake graph AD(Tn), alternate quadrilateral snake graph A(Q n ), & alternate double quadrilateral snake graph AD(Q n ).info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.40 n.5 20212021-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000501097en10.22199/issn.0717-6279-4258
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	k-super cube root cube mean labeling k-super cube root cube mean graph snake graph alternate snake graph
spellingShingle	k-super cube root cube mean labeling k-super cube root cube mean graph snake graph alternate snake graph Princy Kala,V. k-super cube root cube mean labeling of graphs
description	Abstract Consider a graph G with \|V (G)\| = p and \|E(G)\| = q and let f : V (G) → {k, k + 1, k + 2, . . . p + q + k − 1}} be an injective function. The induced edge labeling f ∗ for a vertex labeling f is defined by f ∗ (e) = for all e = uv ∈ E(G) is bijective. If f(V (G)) ∪ {f ∗ (e) : e ∈ E(G)} = {k, k + 1, k + 2, . . . , p + q + k − 1}, then f is called a k-super cube root cube mean labeling. If such labeling exists, then G is a k-super cube root cube mean graph. In this paper, I introduce k-super cube root cube mean labeling and prove the existence of this labeling to the graphs viz., triangular snake graph T n , double triangular snake graph D(T n ), Quadrilateral snake graph Q n , double quadrilateral snake graph D(Q n ), alternate triangular snake graph A(T n ), alternate double triangular snake graph AD(Tn), alternate quadrilateral snake graph A(Q n ), & alternate double quadrilateral snake graph AD(Q n ).
author	Princy Kala,V.
author_facet	Princy Kala,V.
author_sort	Princy Kala,V.
title	k-super cube root cube mean labeling of graphs
title_short	k-super cube root cube mean labeling of graphs
title_full	k-super cube root cube mean labeling of graphs
title_fullStr	k-super cube root cube mean labeling of graphs
title_full_unstemmed	k-super cube root cube mean labeling of graphs
title_sort	k-super cube root cube mean labeling of graphs
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2021
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000501097
work_keys_str_mv	AT princykalav ksupercuberootcubemeanlabelingofgraphs
_version_	1718439915287478272

k-super cube root cube mean labeling of graphs

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