Radial Radio Number of Hexagonal and Its Derived Networks
Kins Yenoke, Mohammed K. A. Kaabar, Mohammed M. Ali Al-Shamiri, R. C. Thivyarathi · International Journal of Mathematics and Mathematical Sciences · 2021
A mapping ℸ : V(G)⟶N∪{0} for a connected graph G = (V, E) is called a radial radio labelling if it satisfies the inequality | ℸ(x) − ℸ (y)| + d(x, y) ≥ rad(G) + 1∀x, y ∈ V(G), where rad(G) is the radius of the graph G. The radial radio number of ℸ denoted by rr(ℸ ) is the maximum number mapped under ℸ. The radial radio number of G denoted by rr(G) is equal to min {rr(ℸ )/ℸ is a radial radio labelling of G}.