Radial Radio Number of Hexagonal and Its Derived Networks
Open Access
- 7 August 2021
- journal article
- research article
- Published by Hindawi Limited in International Journal of Mathematics and Mathematical Sciences
- Vol. 2021, 1-8
- https://doi.org/10.1155/2021/5101021
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 r r ℸ is the maximum number mapped under ℸ . The radial radio number of G denoted by r r G is equal to min { r r ℸ / ℸ is a radial radio labelling of G }.Keywords
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