On Radio Geometric Mean D - Distance Number of Some Basic Graphs

**MLA Style: **K. John Bosco, S. Priya. "On Radio Geometric Mean D - Distance Number of Some Basic Graphs " International Journal of Mathematics Trends and Technology 67.2 (2021):103-108. **APA Style: **K. John Bosco, S. Priya (2021). On Radio Geometric Mean D - Distance Number of Some Basic Graphs. International Journal of Mathematics Trends and Technology, 103-108.

**Abstract**

A Radio geometric mean D-distance labeling of a connect graph G is an injective function f from the vertex set V(G) to the N such that for two distinct vertices u and v of G, d^{D}(u,v)+|√f(u)f(v)| ≥1 + diam^{D}(G), where d^{D}(u,v) denotes the D-distance between u and v daim^{D}(G) denotes the D-diameter of G. The radio geometric mean D-distance number of f, rgmn^{D}(f) is the maximum label assigned to any vertex of G. The radio geometric mean D-distance number of, rgmn^{D}(G) is the minimum value of G, rgmn^{D}(G) is the minimum value of rgmn^{D}(f) taken over all radio geometric mean D-distance labeling f of G. In this paper we find the radio geometric mean D-distance number of some basic graphs.

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**Keywords : **D-distance, Radio geometric mean D-distance, Radio geometric mean D-distance number.