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New Results on One Modulo N-Difference Mean Graphs

DOI: 10.4236/ojdm.2023.134010, PP. 100-112

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

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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.

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