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An algorithm for finding complementary nil dominating set in a fuzzy graph

Year 2017, Volume: 5 Issue: 3, 1 - 6, 01.07.2017

A.mohamed Ismayil A.mohamed Ali

Abstract

In this paper, effective adjacency matrix of a fuzzy graph is introduced. An algorithm for finding a minimal complementary nil dominating set of fuzzy graph is studied with suitable examples.

Keywords

Fuzzy Graph dominating set

References

  • Bhattacharya, Some remarks on fuzzy graphs, Pattern Recognition Letter 6(1987) 297-302.
  • K. R. Bhutani, On M-strong fuzzy graphs, Information Sciences 155(2003) 103-109.
  • M. L. N. McAlester, Fuzzy intersection graphs, Comp.Math. Appl. 15(10) 871-886.
  • O.T. Manjusha, M.S.Sunitha, Strong Domination in Fuzzy Graphs, Fuzzy Information and Engineering Volume 7, Issue 3, September 2015, Pages 369 - 377.
  • A. Mohamed Ismayil and S. Ismail Mohideen, Complementary nil domination in fuzzy graphs,Ann. Fuzzy Math. Inform. 8(5) (2014) 785-792.
  • A. Mohamed Ismayil and A.Mohamed Ali, Complementary nil domination in intuitionistic fuzzy graph using effective edges, Ann. Fuzzy Math. Inform., 10(5) (2015), pp.765-774.
  • J. N. Mordeson, Fuzzy line graphs, Pattern Recognition Letter 14 (1993) 381-384.
  • A. Rosenfeld, Fuzzy graphs, in: L.A. Zedeh, K.S. Fu, K. Tanaka,M. Shimura(Eds.), Fuzzy sets and Their Applications to Cognitive and Decision Processes, Academic Press, NewYork (1975) 77-95.
  • S. I. Mohideen and A. M. Ismayil, Domination in fuzzy graph: A new approach, Int. J. Comput.Sc. Math. 2 (3) (2010) 101-107.
  • A. Somasundaram and S. Somasundaram, Domination in fuzzy graph-I, Patter Recognit. Lett. 19(9) (1998) 787-791.
  • T. Tamizh Chelvam and S. Robinson Chellathurai, Complementary nil domination number of a graph, Tamkang Journal of Mathematics, Vol. 40, No.2(2009), 165-172.
  • L.A.Zadeh, Fuzzy Sets, Inform Control.,8(1965), 338-353.

Year 2017, Volume: 5 Issue: 3, 1 - 6, 01.07.2017

A.mohamed Ismayil A.mohamed Ali

Abstract

References

  • Bhattacharya, Some remarks on fuzzy graphs, Pattern Recognition Letter 6(1987) 297-302.
  • K. R. Bhutani, On M-strong fuzzy graphs, Information Sciences 155(2003) 103-109.
  • M. L. N. McAlester, Fuzzy intersection graphs, Comp.Math. Appl. 15(10) 871-886.
  • O.T. Manjusha, M.S.Sunitha, Strong Domination in Fuzzy Graphs, Fuzzy Information and Engineering Volume 7, Issue 3, September 2015, Pages 369 - 377.
  • A. Mohamed Ismayil and S. Ismail Mohideen, Complementary nil domination in fuzzy graphs,Ann. Fuzzy Math. Inform. 8(5) (2014) 785-792.
  • A. Mohamed Ismayil and A.Mohamed Ali, Complementary nil domination in intuitionistic fuzzy graph using effective edges, Ann. Fuzzy Math. Inform., 10(5) (2015), pp.765-774.
  • J. N. Mordeson, Fuzzy line graphs, Pattern Recognition Letter 14 (1993) 381-384.
  • A. Rosenfeld, Fuzzy graphs, in: L.A. Zedeh, K.S. Fu, K. Tanaka,M. Shimura(Eds.), Fuzzy sets and Their Applications to Cognitive and Decision Processes, Academic Press, NewYork (1975) 77-95.
  • S. I. Mohideen and A. M. Ismayil, Domination in fuzzy graph: A new approach, Int. J. Comput.Sc. Math. 2 (3) (2010) 101-107.
  • A. Somasundaram and S. Somasundaram, Domination in fuzzy graph-I, Patter Recognit. Lett. 19(9) (1998) 787-791.
  • T. Tamizh Chelvam and S. Robinson Chellathurai, Complementary nil domination number of a graph, Tamkang Journal of Mathematics, Vol. 40, No.2(2009), 165-172.
  • L.A.Zadeh, Fuzzy Sets, Inform Control.,8(1965), 338-353.
There are 12 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

A.mohamed Ismayil This is me

A.mohamed Ali This is me

Publication Date July 1, 2017
Published in Issue Year 2017 Volume: 5 Issue: 3

Cite

APA Ismayil, A., & Ali, A. (2017). An algorithm for finding complementary nil dominating set in a fuzzy graph. New Trends in Mathematical Sciences, 5(3), 1-6.
AMA Ismayil A, Ali A. An algorithm for finding complementary nil dominating set in a fuzzy graph. New Trends in Mathematical Sciences. July 2017;5(3):1-6.
Chicago Ismayil, A.mohamed, and A.mohamed Ali. “An Algorithm for Finding Complementary Nil Dominating Set in a Fuzzy Graph”. New Trends in Mathematical Sciences 5, no. 3 (July 2017): 1-6.
EndNote Ismayil A, Ali A (July 1, 2017) An algorithm for finding complementary nil dominating set in a fuzzy graph. New Trends in Mathematical Sciences 5 3 1–6.
IEEE A. Ismayil and A. Ali, “An algorithm for finding complementary nil dominating set in a fuzzy graph”, New Trends in Mathematical Sciences, vol. 5, no. 3, pp. 1–6, 2017.
ISNAD Ismayil, A.mohamed - Ali, A.mohamed. “An Algorithm for Finding Complementary Nil Dominating Set in a Fuzzy Graph”. New Trends in Mathematical Sciences 5/3 (July 2017), 1-6.
JAMA Ismayil A, Ali A. An algorithm for finding complementary nil dominating set in a fuzzy graph. New Trends in Mathematical Sciences. 2017;5:1–6.
MLA Ismayil, A.mohamed and A.mohamed Ali. “An Algorithm for Finding Complementary Nil Dominating Set in a Fuzzy Graph”. New Trends in Mathematical Sciences, vol. 5, no. 3, 2017, pp. 1-6.
Vancouver Ismayil A, Ali A. An algorithm for finding complementary nil dominating set in a fuzzy graph. New Trends in Mathematical Sciences. 2017;5(3):1-6.
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