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Proyecciones (Antofagasta)

versión impresa ISSN 0716-0917

Proyecciones (Antofagasta) vol.37 no.2 Antofagasta jun. 2018

http://dx.doi.org/10.4067/S0716-09172018000200181 

Articles

Super vertex mean labeling of cycles through different ways

A. Lourdusamy1 

Sherry George2 

1 St.Xavier's College (Autonomous), Department of Mathematics, Palayankottai, Tirunelveli - 627002, India. E-mail : lourdusamy15@gmail.com

2 St.Xavier's College (Autonomous), Department of Mathematics, Palayankottai, Tirunelveli - 627002, India. E-mail : 1212sherry@gmail.com

Abstract:

A super vertex mean labeling 𝑓 of a (p,q) - graph G = (V,E) is defined as an injection from E to the set {1,2,3,···,p+q} that induces for each vertex v the label defined by the rule , where Ev denotes the set of edges in G that are incident at the vertex v, such that the set of all edge labels and the induced vertex labels is {1,2,3,···,p+q}. In this paper, we investigate the super vertex mean labeling behavior of cycles by giving various ways by which they can be labeled.

Keywords : Vertex Mean label; Cycles; types of labeling.

Subjclass : Primary 05C38, 05C78.

Texto completo disponible sólo en PDF.

Full text available only in PDF format.

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Received: April 2016; Accepted: November 2017

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