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...
Published in: | Palestine Journal of Mathematics |
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Main Author: | |
Format: | Article |
Language: | English |
Published: |
Palestine Polytechnic University
2019
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Online Access: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85121801652&partnerID=40&md5=3c7c03a5274eed17a3a34808090e83d9 |
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. |
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ISSN: | 22195688 |