Volume 20 No 22 (2022)
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ON RADIO ANALYTIC MEAN Dd- DISTANCE NUMBER OF SOME SUBDIVISION AND DEGREE SPLITTING GRAPHS
Dr. K. JOHN BOSCO, S. PRIYA
Abstract
A Radio analytic mean Dd-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^Dd (u,v)+⌈|〖f(u)〗^(2 )–〖f(v)〗^(2 ) |/2⌉ ≥1+〖diam〗^Dd (G),where D^Dd (u,v)=D(u,v)+deg⁡(u)+deg⁡(V),D^Dd (u,v) denotes the Dd-distance between u and v diamD^Dd (G) denotes the Dd-diameter of G. The radio analytic mean Dd-distance number of f, 〖ramn〗^Dd (f) is the maximum label assigned to any vertex of G . The radio analytic mean Dd-distance number of f, 〖ramn〗^Dd (G)is the minimum value of G, 〖ramn〗^Dd (G) is the minimum value of 〖ramn〗^Dd (f) taken over all radio analytic mean Dd-distance labeling f of G. In this paper we find the radio analytic mean Dd-distance number of some subdivision and degree splitting graphs.
Keywords
Dd-distance, radio analytic mean Dd-distance, radio analytic mean Dd-distance number.
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