Analytic odd mean labeling of union and identification of some graphs

A graph G is analytic odd mean if there exist an injective function f: V → {0, 1, 3,…, 2q − 1} with an induced edge labeling f*: E → Z such that for each edge uv with f (u) < f (v), (Formula Presented) is injective. Clearly the values of f* are odd. We say that f is an analytic odd mean labeling...

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Bibliographic Details
Published in:Proyecciones
Main Author: Jeyanthi P.; Gomathi R.; Lau G.C.; Shiu W.C.
Format: Article
Language:English
Published: Universidad Catolica del Norte 2023
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85173043620&doi=10.22199%2fissn.0717-6279-3505&partnerID=40&md5=a2668e38f0cb3ee499c23ab9f7b9a837
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Summary:A graph G is analytic odd mean if there exist an injective function f: V → {0, 1, 3,…, 2q − 1} with an induced edge labeling f*: E → Z such that for each edge uv with f (u) < f (v), (Formula Presented) is injective. Clearly the values of f* are odd. We say that f is an analytic odd mean labeling of G. In this paper, we show that the union and identification of some graphs admit analytic odd mean labeling by using the operation of joining of two graphs by an edge. © (2023), (SciELO-Scientific Electronic Library Online). All Rights Reserved.
ISSN:7160917
DOI:10.22199/issn.0717-6279-3505