Odd Prime Labeling For Some Arrow Related Graphs

In a graph G a mapping g is known as odd prime labeling , if g is a bijection from V to f1; 3; 5; ::::; 2jVj - 1g satisfying the condition that for each line xy in G the gcd of the labels of end points (g(x); g(y)) is one. In this article we prove that some new arrow related graphs such as A2 y, A3...

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Main Authors: Gajalakshmi G, Meena S
Format: Article
Language:English
Published: Accademia Piceno Aprutina dei Velati 2023-03-01
Series:Ratio Mathematica
Subjects:
Online Access:http://eiris.it/ojs/index.php/ratiomathematica/article/view/1059
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author Gajalakshmi G
Meena S
author_facet Gajalakshmi G
Meena S
author_sort Gajalakshmi G
collection DOAJ
description In a graph G a mapping g is known as odd prime labeling , if g is a bijection from V to f1; 3; 5; ::::; 2jVj - 1g satisfying the condition that for each line xy in G the gcd of the labels of end points (g(x); g(y)) is one. In this article we prove that some new arrow related graphs such as A2 y, A3 y,A5 y, are all odd prime graphs. Also we prove that double arrow graphs, DA2 y and DA3 y are odd prime graphs.
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spelling doaj.art-e111272e50774083b2cce1a4eef9ba162023-04-04T20:02:56ZengAccademia Piceno Aprutina dei VelatiRatio Mathematica1592-74152282-82142023-03-0146010.23755/rm.v46i0.1059766Odd Prime Labeling For Some Arrow Related GraphsGajalakshmi G0Meena S1Department of Mathematics, Govt, Arts & Science College, ChidambaramDepartment of Mathematics, Govt, Arts & Science College, Chidambaram 608 102, India;In a graph G a mapping g is known as odd prime labeling , if g is a bijection from V to f1; 3; 5; ::::; 2jVj - 1g satisfying the condition that for each line xy in G the gcd of the labels of end points (g(x); g(y)) is one. In this article we prove that some new arrow related graphs such as A2 y, A3 y,A5 y, are all odd prime graphs. Also we prove that double arrow graphs, DA2 y and DA3 y are odd prime graphs.http://eiris.it/ojs/index.php/ratiomathematica/article/view/1059prime graph, odd prime graph, arrow graphs.
spellingShingle Gajalakshmi G
Meena S
Odd Prime Labeling For Some Arrow Related Graphs
Ratio Mathematica
prime graph, odd prime graph, arrow graphs.
title Odd Prime Labeling For Some Arrow Related Graphs
title_full Odd Prime Labeling For Some Arrow Related Graphs
title_fullStr Odd Prime Labeling For Some Arrow Related Graphs
title_full_unstemmed Odd Prime Labeling For Some Arrow Related Graphs
title_short Odd Prime Labeling For Some Arrow Related Graphs
title_sort odd prime labeling for some arrow related graphs
topic prime graph, odd prime graph, arrow graphs.
url http://eiris.it/ojs/index.php/ratiomathematica/article/view/1059
work_keys_str_mv AT gajalakshmig oddprimelabelingforsomearrowrelatedgraphs
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