Radial radio number of uniform cyclic and wheel split graphs
Kins Yenoke · International journal of advance research, ideas and innovations in technology · 2020
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