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...
Main Authors: | , |
---|---|
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 |
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 |