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

Yıl 2017, Cilt: 5 Sayı: 3, 1 - 6, 01.07.2017

Öz

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.

Kaynakça

  • 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.
Yıl 2017, Cilt: 5 Sayı: 3, 1 - 6, 01.07.2017

Öz

Kaynakça

  • 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.
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

A.mohamed Ismayil Bu kişi benim

A.mohamed Ali Bu kişi benim

Yayımlanma Tarihi 1 Temmuz 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 5 Sayı: 3

Kaynak Göster

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. Temmuz 2017;5(3):1-6.
Chicago Ismayil, A.mohamed, ve A.mohamed Ali. “An Algorithm for Finding Complementary Nil Dominating Set in a Fuzzy Graph”. New Trends in Mathematical Sciences 5, sy. 3 (Temmuz 2017): 1-6.
EndNote Ismayil A, Ali A (01 Temmuz 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 ve A. Ali, “An algorithm for finding complementary nil dominating set in a fuzzy graph”, New Trends in Mathematical Sciences, c. 5, sy. 3, ss. 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 (Temmuz 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 ve A.mohamed Ali. “An Algorithm for Finding Complementary Nil Dominating Set in a Fuzzy Graph”. New Trends in Mathematical Sciences, c. 5, sy. 3, 2017, ss. 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.