Radial Radio Number of Hexagonal and Its Derived Networks

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

International Journal of Mathematics and Mathematical Sciences, 2021, vol. 2021, 1-8

Abstract: A mapping  ℸ: VG⟶N∪0 for a connected graph G=V,E is called a radial radio labelling if it satisfies the inequality   ℸx− ℸ y+dx,y≥radG+1∀x,y∈VG, where radG is the radius of the graph G. The radial radio number of ℸ denoted by rrℸ  is the maximum number mapped under ℸ. The radial radio number of G denoted by rrG is equal to min {rrℸ /ℸ  is a radial radio labelling of G}.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:5101021

DOI: 10.1155/2021/5101021

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