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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 24 | Number 1 | Year 2015 | Article Id. IJMTT-V24P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V24P501

Subdivision of Super Geometric Mean Labeling for Quadrilateral Snake Graphs


B.Shiny, Dr.S.S.Sandhya, Dr.E.Ebin Raja Merly
Abstract

In this paper we prove that S[A(Qn)],S[D(Qn)], S[A(D(Qn))], Subdivision of triple Quadrilateral snake S[T(Qn)] and Subdivision of alternate triple Quadrilateral snake graph S[A(T(Qn))] are Super Geometric mean graphs.

Keywords
Graph, Geometric mean graph, Super Geometric mean graph, Quadrilateral snake, Double Quadrilateral snake and Triple Qadrilateral snake
References

[1] Gallian.J.A. “A Dynamic survey of graph labeling”. The electronic Journal of Combinatorics 2011, 18 #DS6.
[2] Harary.F., 1988, “Graph theory” Narosa publishing House, New Delhi.
[3] C. Jayasekaran, S.S.Sandhya and C. David Raj, “Some Results on Super Harmonic mean graphs”, International Journal of Mathematics Trends and Technology, Vol.6(3)(2014), 215-224.
[4] Somasundaram.S and Ponraj.R, 2003 “Mean labeling of graphs” National Academy of Science letters Vol.26, p.210-213.
[5] Somasundaram.S, Ponraj.R and S.S.Sandhya “Harmonic mean labeling of graphs”, Communicated to Journal of Combinatorial Mathematics and Combinatorial Computing.
[6] S.Somasundaram, R. Ponraj and P.Vidhyarani “Geometric mean labeling of graphs” Bulletin of Pure and Applied Sciences, 30E (2),(2011), p.153-160
[7] S.S.Sandhya, E.Ebin Raja Merly and B.Shiny “Super Geometric mean labeling on Double Quadrilateral snake graphs”. Asia Pacific Journal of Research, Vol:1, Issue XXI, Jan 2015, ISSN: 2320 – 5504, E-ISSN-2347-4793.

Citation :

B.Shiny, Dr.S.S.Sandhya, Dr.E.Ebin Raja Merly, "Subdivision of Super Geometric Mean Labeling for Quadrilateral Snake Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 24, no. 1, pp. 1-16, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V24P501

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