Radial Radio Number of Hexagonal and Its Derived Networks

Radial Radio Number of Hexagonal and Its Derived Networks

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 de...

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Main Authors: Kins Yenoke, Mohammed K. A. Kaabar, Mohammed M. Ali Al-Shamiri, R. C. Thivyarathi
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2021/5101021
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spelling doaj-278eac6e1f194ab29a577bbafa7547882021-08-23T01:31:49ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences1687-04252021-01-01202110.1155/2021/5101021Radial Radio Number of Hexagonal and Its Derived NetworksKins Yenoke0Mohammed K. A. Kaabar1Mohammed M. Ali Al-Shamiri2R. C. Thivyarathi3Department of MathematicsInstitute of Mathematical SciencesDepartment of MathematicsRMK College of Engineering and TechnologyA 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}.http://dx.doi.org/10.1155/2021/5101021
collection DOAJ
language English
format Article
sources DOAJ
author Kins Yenoke
Mohammed K. A. Kaabar
Mohammed M. Ali Al-Shamiri
R. C. Thivyarathi
spellingShingle Kins Yenoke
Mohammed K. A. Kaabar
Mohammed M. Ali Al-Shamiri
R. C. Thivyarathi
Radial Radio Number of Hexagonal and Its Derived Networks
International Journal of Mathematics and Mathematical Sciences
author_facet Kins Yenoke
Mohammed K. A. Kaabar
Mohammed M. Ali Al-Shamiri
R. C. Thivyarathi
author_sort Kins Yenoke
title Radial Radio Number of Hexagonal and Its Derived Networks
title_short Radial Radio Number of Hexagonal and Its Derived Networks
title_full Radial Radio Number of Hexagonal and Its Derived Networks
title_fullStr Radial Radio Number of Hexagonal and Its Derived Networks
title_full_unstemmed Radial Radio Number of Hexagonal and Its Derived Networks
title_sort radial radio number of hexagonal and its derived networks
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 1687-0425
publishDate 2021-01-01
description 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}.
url http://dx.doi.org/10.1155/2021/5101021
work_keys_str_mv AT kinsyenoke radialradionumberofhexagonalanditsderivednetworks
AT mohammedkakaabar radialradionumberofhexagonalanditsderivednetworks
AT mohammedmalialshamiri radialradionumberofhexagonalanditsderivednetworks
AT rcthivyarathi radialradionumberofhexagonalanditsderivednetworks
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