New Results on One Modulo N-Difference Mean Graphs - Open Journal of Discrete Mathematics

OJDM > Vol.13 No.4, October 2023

Open Journal of Discrete Mathematics

Volume 13, Issue 4 (October 2023)

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

Google-based Impact Factor: 0.64 Citations

New Results on One Modulo N-Difference Mean Graphs ()

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DOI: 10.4236/ojdm.2023.134010 71 Downloads 317 Views

Author(s)

Pon Jeyanthi¹, Meganathan Selvi², Damodaran Ramya³

Affiliation(s)

¹Research Centre, Department of Mathematics, Govindammal Aditanar College for Women, Tiruchendur, Tamilnadu, India.
²Department of Mathematics, Dr. Sivanthi Aditanar College of Engineering, Tiruchendur, Tamilnadu, India.
³Department of Mathematics, Government Arts College (Autonomous), Salem-7, Tamilnadu, India.

ABSTRACT

A graph G is said to be one modulo N-difference mean graph if there is an injective function f from the vertex set of G to the set

, where N is the natural number and q is the number of edges of G and f induces a bijection

from the edge set of G to

given by

and the function f is called a one modulo N-difference mean labeling of G. In this paper, we show that the graphs such as arbitrary union of paths,

, ladder, slanting ladder, diamond snake, quadrilateral snake, alternately quadrilateral snake,

, friendship graph and

admit one modulo N-difference mean labeling.

KEYWORDS

Skolem Difference Mean Labeling, One Modulo N-Graceful Labeling, One Modulo N-Difference Mean Labeling and One Modulo N-Difference Mean Graph

Share and Cite:

Jeyanthi, P. , Selvi, M. and Ramya, D. (2023) New Results on One Modulo N-Difference Mean Graphs. Open Journal of Discrete Mathematics, 13, 100-112. doi: 10.4236/ojdm.2023.134010.

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