This paper is published in Volume-6, Issue-4, 2020
Area
Graph Theory
Author
Kins Yenoke
Org/Univ
Loyola College, Chennai, Tamil Nadu, India
Pub. Date
22 July, 2020
Paper ID
V6I4-1249
Publisher
Keywords
Labelling, Radial Radio Labelling, Radial Radio Number, Uniform N-Wheel Spilt Graphs, Uniform R-Cyclic Split Graphs.

Citationsacebook

IEEE
Kins Yenoke. Radial radio number of uniform cyclic and wheel split graphs, International Journal of Advance Research, Ideas and Innovations in Technology, www.IJARIIT.com.

APA
Kins Yenoke (2020). Radial radio number of uniform cyclic and wheel split graphs. International Journal of Advance Research, Ideas and Innovations in Technology, 6(4) www.IJARIIT.com.

MLA
Kins Yenoke. "Radial radio number of uniform cyclic and wheel split graphs." International Journal of Advance Research, Ideas and Innovations in Technology 6.4 (2020). www.IJARIIT.com.

Abstract

A radial radio labelling h, of a connected graph G=(V,E) is an assignment of non-negative integers to the vertices of G satisfying the radial radio condition d(u,v)+|h(u)h(v)|≥1+rad(G), for any two distinct vertices u,v∈V(G), where rad(G) denote the radius of the graph G. The span of a radial radio labeling h is the largest integer in the range of h and is denoted by rr(h). The radial radio number of G, denoted by rr(G), is the minimum span taken over all radial radio labelings of G. In this paper, we have obtained the radial radio number of certain wheel related graphs such as the graph KDW(r), HW(r), SW(r), uniform n-wheel split graph and uniform r-cyclic split graphs
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