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Fuzzy detour geodetic iteration number and Fuzzy detour number of a fuzzy graph

Abstract

In this paper the concepts of fuzzy detour closure, fuzzy detour geodetic iteration number, fuzzy detour convex set, fuzzy detour geode tic cover, fuzzy detour geodetic basis,  and fuzzy detour geodetic number of a fuzzy graph are introduced and some related results are obtained.

Keywords

fuzzy detour g-closure, fuzzy detour geodetic iteration number, fuzzy detour g-convex set, fuzzy detour geode tic cover, fuzzy detour geodetic basis, fuzzy detour geodetic number


References

  1. K. R. Bhutani, A. Rosenfeld, Strong arcs in fuzzy graphs, Information Sci- ences, 152, (2003), 319-322.
  2. K. R. Bhutani, A. Rosenfeld, Geodesics in fuzzy graphs, Electronic Notes in Discrete Mathematics, 15, (2003), 51-54. Fred Buckley, Frank Harary, Distance in Graphs, Addison-Wesley Publishing Company, Inc (1990).
  3. Frank Harary, Graph Theory, Addison-Wesley Publishing Company, Inc (1969).
  4. Gray Chartrand, Ping Zang, Introduction to Graph Theory, Tata McGraw- Hill Edition, (2006).
  5. J. N. Mordeson, P.S. Nair, Fuzzy Graphs and Fuzzy Hypergraphs, Physica - Verlag(2000).
  6. J. N. Mordeson, Y. Y. Yao, Fuzzy Cycles and Fuzzy Trees, The Journal of Fuzzy Mathematics, Vol. 10, No.1, (2002).
  7. A. Rosenfeld., Fuzzy Graphs, In Fuzzy sets and their application to Cognitive and decision processes, Academic Press,(1975), 77-95.
  8. K.R.Sandeep Narayan, M.S.Sunitha, Connectivity in a fuzzy graph and its complement, General Mathematics Notes, Vol.9, no.1, (2012), 38-43.
  9. Sunil Mathew, M.S.Sunitha, Types of arcs in a fuzzy graph, Information Sciences, (2009), 1760-1768
  10. M.S.Sunitha, A.Vijayakumar, Some metric aspects of fuzzy graphs, Pro- ceedings of the conference on graph connections, CUSAT, Allied Publishers, (1999), 111-114
  11. Linda.J.P, M.S. Sunitha, µ geodetic iteration number and µ geodetic number of a fuzzy graph, General Mathematics notes , Vol.18, No.1(2013), 1-12.
  12. Linda.J.P, M.S. Sunitha, Fuzzy detour g-centre in fuzy graphs, Annals of fuzzy Mathematics and Informatics, Vol.2, No.7(2014), 219-228.