Open Journal of Discrete Mathematics

Volume 11, Issue 3 (July 2021)

ISSN Print: 2161-7635   ISSN Online: 2161-7643

Google-based Impact Factor: 0.64  Citations  

A Note on n-Set Distance-Labelings of Graphs

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DOI: 10.4236/ojdm.2021.113005    222 Downloads   768 Views  Citations
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ABSTRACT

This note is considered as a sequel of Yeh [1]. Here, we present a generalized (vertex) distance labeling (labeling vertices under constraints depending the on distance between vertices) of a graph. Instead of assigning a number (label) to each vertex, we assign a set of numbers to each vertex under given conditions. Some basic results are given in the first part of the note. Then we study a particular class of this type of labelings on several classes of graphs.

Share and Cite:

Yeh, R. (2021) A Note on n-Set Distance-Labelings of Graphs. Open Journal of Discrete Mathematics, 11, 55-60. doi: 10.4236/ojdm.2021.113005.

Cited by

[1] Some New Classes of (k, d) Graceful 3 Distance Trees and 3 Distance Unicyclic Graphs
Indian Journal …, 2022
[2] N-Set Distance-Labelings for Cycle Graphs
Open Journal of Discrete Mathematics, 2022

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