ROOT SQUARE MEAN LABELING OF ARROW GRAPHS WITH ENCODING AND DECODING

A graph G with p vertices and q edges is called a Root Square mean labeling if it is possible to label the vertices x [member of] v with distinct labels p(x) from 1, 2, ***, q + 1 in such a way that each edge e = ab is labeled with [Please download the PDF to view the mathematical expression] then t...

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Vydáno v:TWMS journal of applied and engineering mathematics Ročník 15; číslo 6; s. 1496
Hlavní autoři: Christy, T, Palani, G
Médium: Journal Article
Jazyk:angličtina
Vydáno: Turkic World Mathematical Society 01.06.2025
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ISSN:2146-1147
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Shrnutí:A graph G with p vertices and q edges is called a Root Square mean labeling if it is possible to label the vertices x [member of] v with distinct labels p(x) from 1, 2, ***, q + 1 in such a way that each edge e = ab is labeled with [Please download the PDF to view the mathematical expression] then the edge labels are distinct. In this case p is called Root Square mean(RSM) labeling of G. In this paper we prove Arrow graphs [A.sup.2.sub.n],[A.sup.2.sub.n],[A.sup.2.sub.n] admits Root Square mean (RSM) labeling.In today's world, digital data transfer is becoming more and more common in all industries. Data security plays a critical role in the delivery and storage of data. Labeling is an essential component of the cryptosystem. A new approach in the encoding and decoding process on the Root Square Mean Labeling is applied in this paper through an algorithm for encoding and decoding of secured message. Keywords: Root Square mean (RSM) labeling, Arrow graphs AMS Subject Classification:05078
ISSN:2146-1147