Volume 69 | Issue 1 | Year 2023 | Article Id. IJMTT-V69I1P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V69I1P503
Received | Revised | Accepted | Published |
---|---|---|---|
19 Nov 2022 | 25 Dec 2022 | 05 Jan 2023 | 14 Jan 2023 |
G. Priscilla Pacifica, J. Jenit Ajitha, "Steiner Domination in Fuzzy Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 69, no. 1, pp. 17-23, 2023. Crossref, https://doi.org/10.14445/22315373/IJMTT-V69I1P503
[1] Anjali Narayanan, and Sunil Mathew, “Energy of a Fuzzy Graph,” Annals of Fuzzy Mathematics and Informatics, vol. 6, no. 3, pp. 455- 465, 2013.
[2] R. Balakrishnan, and K. Ranganathan, A Textbook of Graph Theory, Springer, New York, 2000.
[3] Benjier H.Arriola, “A Note on Some Domination of Fuzzy Graphs,” Far East Journal of Applied Mathematics, vol. 97, no. 4, pp. 113- 123, 2017. Crossref, http://dx.doi.org/10.17654/AM097040113
[4] John Adrian Bondy, and U.S.R Murty, Graph Theory with Applications, The MacMillan Press Ltd, 1976.
[5] F. Buckley, and F. Harary, Distance in Graphs, Addison-Wesley Publishing Company, Inc., 1990.
[6] Kiran R. Bhutani, and Azriel Rosenfeld, “Strong Arcs in Fuzzy Graphs,” Information Sciences, vol. 152, pp. 319-322, 2003. Crossref, https://doi.org/10.1016/S0020-0255(02)00411-5
[7] Gary Chartrand, and Ping Zhang, “The Steiner Number of a Graph,” Discrete Mathenatics, vol. 242, no. 1-3, pp. 41-54, 2002. Crossref, https://doi.org/10.1016/S0012-365X(00)00456-8
[8] Gary Chartrand, and Ping Zhang, Introduction to Graph Theory, Tata McGrawHill Edition, 2006.
[9] Clemens Barand, and Norbert Seifter, “Eigen Values and Domination in Graphs,” Mathematica Slovoca, vol. 46, no. 1, pp. 33-39, 1996.
[10] Ivan Gutman, “The Energy of a Graph,” Approx Math Extra Research Z Graz, vol. 103, pp. 1–22, 1978.
[11] F.Harary, and R.A.Melter, “On the Metric Dimension of a Graph,” Ars Combinatoria, vol. 2, pp. 191-195, 1976.
[12] F. Harary, Graph Theory, Addison-Wesley Publishing Company, New York, 1969.
[13] Teresa W. Haynes, Stephen T. Hedetneimi, and Peter J. Slater, Fundamentals of Domination in Graphs, CRC Press, New York, 1998. Crossref, https://doi.org/10.1201/9781482246582
[14] Teresa W.Haynes, Stephen T. Hedetneimi, and Peter J.Slater, Domination in Graphs: Advanced Topics, Marcel Deker, New York, 1998.
[15] Michael Raines, and Ping Zhang, “The Steiner Distance Dimension of Graphs,” Australasian Journal of Combinatorics, vol. 20, pp. 133- 143, 1999.
[16] K.Ramalakshmi, and K.Palani, “On Steiner Domination Number of Graphs,” International Journal of Mathematics Trends and Technology, vol. 41, no. 2, pp. 186-190, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V41P517
[17] Azriel Rosenfeld, “Fuzzy Graphs,” Fuzzy Sets and Their Applications to Cognitive and Decision Processes, Academic Press, pp. 77-95, 1975.
[18] Sadegh Rahimi Sharbaf, and Fatmem Fayazi, “Laplacian Energy of a Fuzzy Graph,” Iranian Journal of Mathematical Chemistry, vol. 5, no. 1, pp 1-10, 2014. Crossref, https://doi.org/10.22052/ijmc.2014.5214
[19] Saied Alikhani, and Yee-hock Peng, “Introduction to Domination Polynomial of a Graph,” Ars Combinatoria-Waterloo then Winnipeg, 2009. Crossref, https://doi.org/10.48550/arXiv.0905.2251
[20] P.Santhakuramaran, and J.John, “The Upper Steiner Number of a Graph,” Graph Theory Notes of New York LIX, 2010.
[21] M.S Sunitha, and Sunil Mathew, “Fuzzy Graph Theory: A Survey,” Annals of Pure and Applied Mathematics, vol. 4, no. 1, pp. 92-110, 2013.
[22] G.D.Suresh, and A.Vijayan, “On Steiner Sets and Steiner Polynomials of Squares of Paths,” International Journal of Scientific Research and Review, vol.7, no. 12, pp. 487- 495, 2018.
[23] S.K. Vaidya, and S.H. Harkar, “Steiner Domination Number of Some Graphs,” International Journal of Mathematics and Scientific Computing, vol. 5, no. 1, pp. 1-3, 2015.
[24] Samir K.Vaidya, and Riya Nitinbhai Mehta, “Steiner Domination Number of Some Wheel Related Graphs,” International Journal of Mathematics and Soft Computing, vol. 5, no. 2, pp. 15-19, 2015. Crossref, http://dx.doi.org/10.26708/IJMSC.2015.2.5.03
[25] Yashwant Vaishnaw, and Sanjay Sharma, “Some New Approaches of Fuzzy Graph,” Journal of Mathematics, vol. 12, no. 6, pp. 109-112, 2016. Crossref, http://dx.doi.org/10.9790/5728-120601109112