Research Article

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

Volume: 5 Number: 3 July 1, 2017
  • A.mohamed Ismayil *
  • A.mohamed Ali
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New Trends in Mathematical Sciences
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An algorithm for finding complementary nil dominating set in a fuzzy graph

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

References

  1. Bhattacharya, Some remarks on fuzzy graphs, Pattern Recognition Letter 6(1987) 297-302.
  2. K. R. Bhutani, On M-strong fuzzy graphs, Information Sciences 155(2003) 103-109.
  3. M. L. N. McAlester, Fuzzy intersection graphs, Comp.Math. Appl. 15(10) 871-886.
  4. O.T. Manjusha, M.S.Sunitha, Strong Domination in Fuzzy Graphs, Fuzzy Information and Engineering Volume 7, Issue 3, September 2015, Pages 369 - 377.
  5. A. Mohamed Ismayil and S. Ismail Mohideen, Complementary nil domination in fuzzy graphs,Ann. Fuzzy Math. Inform. 8(5) (2014) 785-792.
  6. 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.
  7. J. N. Mordeson, Fuzzy line graphs, Pattern Recognition Letter 14 (1993) 381-384.
  8. 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.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

A.mohamed Ismayil * This is me
India

A.mohamed Ali This is me
India

Publication Date

July 1, 2017

Submission Date

July 23, 2016

Acceptance Date

January 22, 2017

Published in Issue

Year 2017 Volume: 5 Number: 3

IZ

https://izlik.org/JA27BP95KK

Cite

RIS / Bibtex
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. https://izlik.org/JA27BP95KK
AMA
1.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. https://izlik.org/JA27BP95KK
Chicago
Ismayil, A.mohamed, and A.mohamed Ali. 2017. “An Algorithm for Finding Complementary Nil Dominating Set in a Fuzzy Graph”. New Trends in Mathematical Sciences 5 (3): 1-6. https://izlik.org/JA27BP95KK.
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
[1]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, July 2017, [Online]. Available: https://izlik.org/JA27BP95KK
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 1, 2017): 1-6. https://izlik.org/JA27BP95KK.
JAMA
1.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, July 2017, pp. 1-6, https://izlik.org/JA27BP95KK.
Vancouver
1.A.mohamed Ismayil, A.mohamed Ali. An algorithm for finding complementary nil dominating set in a fuzzy graph. New Trends in Mathematical Sciences [Internet]. 2017 Jul. 1;5(3):1-6. Available from: https://izlik.org/JA27BP95KK