Radial Radio Number of Hexagonal and Its Derived Networks

Kins Yenoke, Mohammed K. A. Kaabar, Mohammed M. Ali Al-Shamiri and R. C. Thivyarathi

International Journal of Mathematics and Mathematical Sciences, 2021, vol. 2021, issue 1

Abstract: 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}.

Date: 2021
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