Odd Vertex Even Mean Labeling of H-Graph

Authors

  • R. Jayapriya  PG Student, Department of Mathematics, Dr.SNS Rajalakshmi College of Arts and Science (Autonomous), Coimbatore, Tamilnadu, India
  • H.Haseena Begum  Assistant professor, Department of Mathematics, Dr.SNS Rajalakshmi College of Arts and Science (Autonomous), Coimbatore, Tamilnadu, India

Keywords:

Odd Vertex Even Mean Labeling, Odd Vertex Even Mean Graph.

Abstract

A graph with m vertices and n edges is said to have an odd vertex even mean labeling if there exist an injective function f:V(G)→{1,3,5…2s-1} such that the induced map f*:E(G)→{2,4,…2s-2,2s} define by  f*(u?v?)=  is a bijection. A graph that admits an odd vertex even mean labeling is called an odd vertex even mean graph. Here we study the odd vertex even mean behavior of H-graph.

References

  1. M.Kannan*1,R.Vikrama Prasad2 and R.Gopi3, Even Vertex Odd Mean Labeling of H-Graph, International Journal of Mathematical Archive-8(8)(2017), 162-167.
  2. S.Arockiaraj and B.S.Mahadevaswamy, Even vertex odd mean labeling of graph obtained from graph operations, Int. Journal of Advanced Research in Edu., Tech.2 management, 3(1)(2015), 192.
  3. J.A.Gallian, A dynamical survey of graph labeling, The Electronic Journal of combinatorics, 17(2014), #DS6.
  4. B.Gayathri and R.Gopi, K-even mean labeling of Dm,n?Cn, International Journal of Engineering Science, Advanced Computing and Bio-Technology, 1(3)(2010), 137-145.
  5. B.Gayathri and R.Gopi , Cycle related mean graphs, Elixir International Journal of Applied Science, 71(2014), 25116-25124.
  6. F.Harary, Graph Theory, Addision Wesely, Reading Mass, 1972.
  7. R.Ponraj and S.Somasundaram, Mean Labeling of Graphs, National Academy Science Letter. 26(2003), 210-213.
  8. K.Manickam and M.Mmarudai, Odd Mean Labeling of Graphs, Bulletin of Pure and Applied Science, 25 E(1)(2006), 149-153.
  9. R.Vasuki, A.Nagaraj and S.Arockiaraj, Even Vertex Odd Mean Labeling of Graphs, Sut J.Math, 49(2)(2013), 79-92.

International Journal of Scientific Research in Science and Technology

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Published

2018-09-30

Issue

Volume 4, Issue 10, September-October-2018

Section

Research Articles

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This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
R. Jayapriya, H.Haseena Begum "Odd Vertex Even Mean Labeling of H-Graph" International Journal of Scientific Research in Science and Technology(IJSRST), Online ISSN : 2395-602X, Print ISSN : 2395-6011,Volume 4, Issue 10, pp.77-81, September-October-2018.