This paper is published in Volume-3, Issue-6, 2017
Area
Graph Theory
Author
K. John Bosco, T. Nicholas, M. Antony, V. Viola
Org/Univ
St. Jude’s College,Thoothoor, Tamil Nadu, India
Pub. Date
30 December, 2017
Paper ID
V3I6-1476
Publisher
Keywords
D-distance, Radio D-distance Number, Radio Mean D-distance, Radio Mean D-distance Number

Citationsacebook

IEEE
K. John Bosco, T. Nicholas, M. Antony, V. Viola. Radio Mean D-distance Number of Banana Tree, Thorn Star and Cone Graph, International Journal of Advance Research, Ideas and Innovations in Technology, www.IJARIIT.com.

APA
K. John Bosco, T. Nicholas, M. Antony, V. Viola (2017). Radio Mean D-distance Number of Banana Tree, Thorn Star and Cone Graph. International Journal of Advance Research, Ideas and Innovations in Technology, 3(6) www.IJARIIT.com.

MLA
K. John Bosco, T. Nicholas, M. Antony, V. Viola. "Radio Mean D-distance Number of Banana Tree, Thorn Star and Cone Graph." International Journal of Advance Research, Ideas and Innovations in Technology 3.6 (2017). www.IJARIIT.com.

Abstract

A Radio Mean D-distance labeling of a connected graph G is an injective map f from the vertex set V(G) to N such that for two distinct vertices u and v of G, dD(u, v) + ⌈(f(u)+f(v))/2⌉ ≥ 1 + diamD(G), where dD(u, v) denotes the D-distance between u and v and diamD(G) denotes the D-diameter of G. The radio mean D-distance number of f, rmnD(f) is the maximum label assigned to any vertex of G. The radio mean D-distance number of G, rmnD(G) is the minimum value of rmnD(f) taken over all radio mean D-distance labeling f of G. In this paper we find the radio mean D-distance number of banana tree, thorn star and cone graph.