Odd Fibonacci Mean Labeling of Some Special Graphs

G.Chitra; J.Priya; Y.Vishnupriya

doi:https://doi.org/10.14445/22315373/IJMTT-V66I1P515

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 1 | Year 2020 | Article Id. IJMTT-V66I1P515 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I1P515

Odd Fibonacci Mean Labeling of Some Special Graphs

G.Chitra, J.Priya, Y.Vishnupriya

Abstract

Let G be a graph with p vertices and q edges and an injective function f:V(G) -> { 1,3,5,13,21,55,89.... } where each fᵢ is a Odd Fibonacci number and the induced edge labeling f: E(G)→ N are defined by f(uv) = { f(u) + f(v)/2, if f(u) +f(v) is even f(u) + f(v) +1/2, if f(u) +f(v) is odd and all these edge labeling are distinct is called a odd Fibonacci Mean Labeling, A graph which admits a Odd Fibonacci Mean Labeling is called a odd Fibonacci mean graph.

Keywords

Odd Fibonacci Mean Labeling, Wheel graph, Helm graph, Gear graph, Cycle graph, Banana tree, Tadpole graph, Fire Cracker graph, Pan graph, Star graph, Ladder graph, Cone graph, Haar graph, Dutch Windmill graph.

References

[1] S.Meena and A.Ezhil ,Total prime labeling of some graphs, International journal of Research in advent technology,E – ISSN : 2321 – 9367, vol.7,No.1, January 2019.
[2] M.Ramya and S.Meenakshi, labeling techniques of some special graphs, International journal of pure and applied mathematics volume 116 ,No. 24 2017, 93 –102, 8080 ISSN: 1314 – 8080 (printed version); ISSN: 1314 -3395(on-line version).
[3] N. Revathi, Mean labeling of some graphs, Inter national journal of science and Research (IJSR). ISSN(online): 2319 – 7064. Index copernics value (2013) : 6.14 | Impact factor (2014) : 5.611,voiume 4 Issue 10, October 2015.
[4] S.Somasundaram and R.Ponraj, Mean labeling of graph,Natl, Acad,sci. let, 26,pp 20 – 213,(2003).
[5] K.Thirugnanasambandam, G.Chitra, Fibonacci Mean Anti-magic Labeling of Graphs, International journal of research in advent technology, voiume 7, No. 4S, E-ISSN : 2321 – 9637, April 2019.
[6] K.Thirugnanasambandam, G.Chitra, Y.Vishnupriya, Prime Odd Mean Labeling of Some Special Graphs, Journal of Emerging Technologies and Innovative Research (JETIR), voiume 5, Issue 6, 2018 JETIR june 2018.
[7] Dr.k.Vaithilingam, Difference labeling of some graph families, International journal of Mathematics and Statistics Invention(IJMSI), E - ISSN: 2321-4767P-ISSN: 2321 - 4759, volume 2 || june 2014 || PP-37-43.
[8] D.B .West, Introduction to Graph Theory, Prentice-Hall of India, New Delhi, (2001).

Citation :

G.Chitra, J.Priya, Y.Vishnupriya, "Odd Fibonacci Mean Labeling of Some Special Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 1, pp. 115-126, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I1P515