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

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2021 by IJMTT Journal
Volume-67 Issue-2
Year of Publication : 2021
Authors : K. John Bosco, S. Priya
  10.14445/22315373/IJMTT-V67I2P514

MLA

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, dD(u,v)+|√f(u)f(v)| ≥1 + diamD(G), where dD(u,v) denotes the D-distance between u and v daimD(G) denotes the D-diameter of G. The radio geometric mean D-distance number of f, rgmnD(f) is the maximum label assigned to any vertex of G. The radio geometric mean D-distance number of, rgmnD(G) is the minimum value of G, rgmnD(G) is the minimum value of rgmnD(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.