Graceful and Magic Labeling in Special Fuzzy Graphs
N.Sujatha1, C.Dharuman2, K.Thirusangu3
1N.Sujatha Department of Mathematics, SRM Institute of Science and Technology, Ramapuram, Chennai-89, India.
2C.Dharuman Department of Mathematics, SRM Institute of Science and Technology, Ramapuram, Chennai-89, India.
3K.Thirusangu Department of Mathematics, S.I.V.E.T College, Gowrivakkam, Chennai-73, India.
Manuscript received on 09 August 2019. | Revised Manuscript received on 14 August 2019. | Manuscript published on 30 September 2019. | PP: 5320-5328 | Volume-8 Issue-3 September 2019 | Retrieval Number: C6877098319/2019©BEIESP | DOI: 10.35940/ijrte.C6877.098319
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: In this paper, we present an algorithm to find fuzzy labeling of a star graph K1,n , bi star graph Bn,n and double star graph K1,n,n . We prove that star graph K1,n at most 89 edges are fuzzy graceful iff it admits fuzzy magic graph. Also we prove that bi star graph Bn,n having at most 59 edges are fuzzy graceful iff it is a fuzzy bi magic graph .We prove that fuzzy labeled double star graph K1,n,n at most 30 edges is fuzzy graceful.
Keywords: Fuzzy Labeling, Fuzzy Graceful Labeling, Fuzzy Magic Labeling, Fuzzy Bi magic Labeling.
Scope of the Article: Fuzzy Logics