Totally magic d-lucky number of graphs

N Mohamed Rilwan, A Nilofer

Abstract


In this paper we introduce a new labeling named as, totally magic d-lucky labeling, find the totally magic d-lucky number of some standard graphs like wheel, cycle, bigraph etc. and find the totally magic d-lucky number of some zero divisor graphs. A totally magic d-lucky labeling  of a graph G = (V, E) is a labeling of vertices and label the graph's edges using the total label of its incident vertices in such a way that for any two different incident vertices u and v, their colors ,  are distinct and for any different edges in a graph, their weights    are same Where  represents the degree of u in a graph and  represents the open neighbourhood of u in a graph.


Keywords


Totally magic d-lucky labeling, totally magic d-lucky number, zero divisor graphs.

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References


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DOI: http://dx.doi.org/10.23755/rm.v44i0.920

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Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.