Some distance magic graphs

A graph , where and is said to be a distance magic graph if there exists a bijection from the vertex set to the set such that, , for all , which is a constant and independent of , where is the open neighborhood of the vertex . The constant is called the distance magic constant of the graph and such...

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Bibliographic Details
Main Authors: Aloysius Godinho, T. Singh
Format: Article
Language:English
Published: Taylor & Francis Group 2018-04-01
Series:AKCE International Journal of Graphs and Combinatorics
Subjects:
Online Access:http://dx.doi.org/10.1016/j.akcej.2018.02.004
Description
Summary:A graph , where and is said to be a distance magic graph if there exists a bijection from the vertex set to the set such that, , for all , which is a constant and independent of , where is the open neighborhood of the vertex . The constant is called the distance magic constant of the graph and such a labeling is called distance magic labeling of . In this paper, we present new results on distance magic labeling of and neighborhood expansion of a graph .
ISSN:0972-8600