Analytic Odd Mean Labeling Of Some Standard Graphs

Let G=(V,E) be a graph with p vertices and q edges. A graph G is analytic odd mean if there exist an injective function f: V→ {0,1,3,5,…2q-1} with an induce edge labeling f*: E→Z such that for each edge uv with f(u) < f(v), (Formula Presented) is injective. We say that f is an analytic odd mean l...

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Bibliographic Details
Published in:Palestine Journal of Mathematics
Main Author: Jeyanthi P.; Gomathi R.; Lau G.-C.
Format: Article
Language:English
Published: Palestine Polytechnic University 2019
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85121801652&partnerID=40&md5=3c7c03a5274eed17a3a34808090e83d9
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Summary:Let G=(V,E) be a graph with p vertices and q edges. A graph G is analytic odd mean if there exist an injective function f: V→ {0,1,3,5,…2q-1} with an induce edge labeling f*: E→Z such that for each edge uv with f(u) < f(v), (Formula Presented) is injective. We say that f is an analytic odd mean labeling of G. In this paper we prove that path Pn, cycle Cn, complete graph Kn, Wheel graph Wn, complete bipartite graph Km,n, flower graph Fln, ladder graph Ln, comb Pn ⊙ K1, the graph Ln ⊙ K1 and the graph Cm ∪ Cn are analytic odd mean graph. © Palestine Polytechnic University-PPU 2019.
ISSN:22195688