Edge graceful labeling on neutrosophic graphs

[1] D. Ajay and P. Chellamani, Fuzzy magic labelling of neutrosophic path and star graph, Adv. Math., Sci. J. 9 (2022), no. 8, 6059–6070.  https://doi.org/10.37418/amsj.9.8.74

[2] D. Ajay, P. Chellamani, G. Rajchakit, N. Boonsatit, and P. Hammachukiattikul, Regularity of Pythagorean neutrosophic graphs with an illustration in MCDM, AIMS Math. 7 (2022), no. 5, 9424–9442.  https://doi.org/10.3934/math.2022523

[3] M. Akram and R. Akmal, Operations on intuitionistic fuzzy graph structures, Fuzzy Inf. Eng. 8 (2016), no. 4, 389–410. https://doi.org/10.1016/j.fiae.2017.01.001

[4] M. Akram and R. Akmal, Intuitionistic fuzzy graph structures, Kragujevac J. Math. 41 (2017), no. 2, 219–237.

[5] M. Akram and M. Nasir, Certain bipolar neutrsophic competition graphs, J. Indones. Math. Soc. 24 (2018), no. 1, 1–25.  https://doi.org/10.22342/jims.24.1.455.1-25

[6] M. Akram and G. Shahzadi, Operations on single-valued neutrosophic graphs, J. Uncertain Syst. 11 (2017), no. 1, 1–26.

[7] K.T. Atanassov, Intuitionistic fuzzy sets atanassov, k.t., Fuzzy Sets Syst. 20 (1986), no. 1, 87–96. https://doi.org/10.1016/S0165-0114(86)80034-3

[8] P. Bhattacharya, Some remarks on fuzzy graphs, Pattern Recognit. Lett. 6 (1987),  no. 5, 297–302. https://doi.org/10.1016/0167-8655(87)90012-2

[9] K.R. Bhuttani and A. Battou, On M-strong fuzzy graphs, Inf. Sci. 155 (2003),  no. 1–2, 103–109. https://doi.org/10.1016/S0020-0255(03)00157-9

[10] S. Broumi, S. Krishna Prabha, and V. Ulu¸cay, Interval-valued fermatean neutrosophic shortest path problem via score function, Neutrosophic Systems with  Applications 11 (2023), 1–10.  https://doi.org/10.61356/j.nswa.2023.83

[11] S. Broumi, S. Mohanaselvi, T. Witczak, M. Talea, A. Bakali, and F. Smarandache, Complex fermatean neutrosophic graph and application to decision making, Decis. Mak. Appl. Manag. Eng. 6 (2023), no. 1, 474–501.  https://doi.org/10.31181/dmame24022023b

[12] S. Broumi, P.K. Raut, and S.P. Behera, Solving shortest path problems using  an ant colony algorithm with triangular neutrosophic arc weights, Int. J. Neutrosophic Sci. 20 (2023), no. 4, 128–28.  https://doi.org/10.54216/IJNS.200410

[13] S. Broumi, F. Smarandache, M. Talea, and A. Bakali, Single valued neutrosophic  graphs: degree, order and size, 2016 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), IEEE, 2016, pp. 2444–2451.  https://doi.org/10.1109/FUZZ-IEEE.2016.7738000

[14] S. Broumi, R. Sundareswaran, M. Shanmugapriya, A. Bakali, and M. Talea,  Theory and applications of fermatean neutrosophic graphs, Neutrosophic Sets  Syst. 50 (2022), 248–286.  https://doi.org/10.5281/zenodo.6774802

[15] S. Broumi, R. Sundareswaran, M. Shanmugapriya, P.K. Singh, M. Voskoglou,  and M. Talea, Faculty performance evaluation through multi-criteria decision  analysis using interval-valued fermatean neutrosophic sets, Mathematics 11
(2023), no. 18, Article ID: 3817.  https://doi.org/10.3390/math11183817

[16] R. Dhavaseelan, S. Jafari, M.R. Farahani, and S. Broumi, On single-valued coneutrosophic graphs, Neutrosophic Sets Syst. 22 (2018), 180–187.   https://doi.org/10.5281/zenodo.2159886

[17] R. Dhavaseelan, R. Vikramaprasad, and V. Krishnaraj, Certain types of neutrosophic graphs, Int. J. Math. Sci. Appl. 15 (2015), no. 2, 333–339.

[18] M. Gomathi and V. Keerthika, Neutrosophic labeling graph, Neutrosophic Sets  Syst. 30 (2019), 261–272.  https://doi.org/10.5281/zenodo.3569706

[19] R. Jahir Hussain and R.M. Karthikkeyan, Fuzzy graceful graphs, Adv. Fuzzy  Syst. 12 (2017), 309–317.

[20] R. Jebesty Shajila and S. Vimala, Fuzzy vertex graceful labeling on wheel and fan  graph, IOSR J. Math. 12 (2016), no. 2, 45–49. 

[21] R. Jebesty Shajila and S. Vimala, Graceful labeling for complete bipartite fuzzy graphs, British J. Math.  comput. Sci. 22 (2017), 1–9.  https://doi.org/10.9734/BJMCS/2017/32242

[22] A. Kaufmann, Introduction to the Theory of Fuzzy Subsets: Fundamental theoretical elements, Academic Press, 1975.
[23] S.P. Lo, On edge graceful labeling of graphs, Congr. Numer. 50 (1985), 231–241.

[24] M. Mullai, Dominations in neutrosophic graphs, Neutrosophic Graph Theory and  Algorithms (M. Mullai, ed.), IGI Global Publications, USA, 2019, pp. 131–147.

[25] M. Mullai and S. Broumi, Dominating energy in neutrosophic graphs, Int. J.  Neutrosophic Sci. 5 (2020), no. 1, 38–58. https://doi.org/10.54216/IJNS.050104

[26] M. Mullai, S. Broumi, R. Jeyabalan, and R. Meenakshi, Split domination in neutrosophic graphs, Neutrosophic Sets Syst. 47 (2021), no. 1, 240–249.  https://doi.org/10.5281/zenodo.5775126

[27] A. Nagoor Gani, B. B. Fathima Kani, and M.S. Afya Farhana, Fuzzy edge graceful  labeling on wheel graph,fan graph and friendship graph, American International  Journal of Research in Science, Technology, Engineering & Mathematics, Special  Issue of 5th International Conference on Mathematical Methods and Computation (ICOMAC-2019) (2019), 324–329.

[28] A. Nagoor Gani and M. Basheer Ahamed, Order and size in fuzzy graphs, Bull. Pure Appl. Sci. 22E (2003), no. 1, 145–148.

[29] A. Nagoor Gani and S.S. Begum, Degree, order and size in intuitionistic fuzzy graphs, Int. J. Comput. Algorithm. Math. 3 (2010), no. 3, 11–16.

[30] A. Nagoor Gani and S.R. Latha, On irregular fuzzy graphs, Appl. Math. Sci. 6 (2012), no. 11, 517–523.

[31] A. Nagoor Gani and K. Radha, On regular fuzzy graphs, J. Phys. Sci. 12 (2008),  33–40.

[32] A. Nagoor Gani and D.R. Subahashini, Fuzzy labeling tree, Int. J. Pure Appl. Math. 90 (2014), no. 2, 131–141. http://dx.doi.org/10.12732/ijpam.v90i2.3

[33] A. Nagoor Gani and D.R. Subahashini, Properties of fuzzy labeling graph, Appl. Math. Sci. 6 (2012), no. 70, 3461–3466.

[34] R. Parvathi and M.G. Karunambigai, Intuitionistic fuzzy graphs, Computational Intelligence, Theory and Applications: International Conference 9th Fuzzy Days in Dortmund, Germany, Sept. 18–20, 2006 Proceedings, Springer, 2006, pp. 139–150.

[35] R. Parvathi, M.G. Karunambigai, and K.T. Atanassov, Operations on intuitionistic fuzzy graphs, 2009 IEEE international conference on fuzzy systems, IEEE, 2009, pp. 1396–1401.  https://doi.org/10.1109/FUZZY.2009.5277067

[36] A. Rosa, On certain valuations of the vertices of a graph, Theory of Graphs (Internat. Symposium, Rome, 1966, pp. 349–355.

[37] A. Rosenfeld, Fuzzy graphs, In Fuzzy Sets and Their Applications to Cognitive and Decision Processes, Elsevier, 1975, pp. 77–95.  https://doi.org/10.1016/B978-0-12-775260-0.50008-6

[38] F. Smarandache, Neutrosophic set - a generalization of the intuitionistic fuzzy set, 2006 IEEE International Conference on Granular Computing, 2006, pp. 38–42.  https://doi.org/10.1109/GRC.2006.1635754

[39] F. Smarandache, A geometric interpretation of the neutrosophic set - a generalization of the intuitionistic fuzzy set, 2011 IEEE International Conference on Granular  Computing, 2011, pp. 602–606.  https://doi.org/10.1109/GRC.2011.6122665

[40] F. Smarandache, New types of soft sets” hypersoft set, indetermsoft set, indetermhypersoft set, and treesoft set”: An improved version, Neutrosophic Syst. Appl. 8 (2023), 35–41.  https://doi.org/10.61356/j.nswa.2023.41

[41] G. Vetrivel and R. Nishanthini, Evenly divisible composite pseudo intrinsic vertex-magic graphs with factorizable property, International Journal of Science and  Research 10 (2021), no. 1, 551–560.

[42] H.D. Wahyuna and D. Indriati, On the total edge irregularity strength of generalized butterfly graph, J. Phys. Conf. Ser. 1008 (2018), no. 12027, 1–6.  https://doi.org/10.1088/1742-6596/1008/1/012027

[43] H. Wang, F. Smarandache, Y. Zhang, and R. Sunderraman, Single valued neutrosophic sets, Multispace and Multistructure, 2010, pp. 410–413.

[44] L.A. Zadeh, Fuzzy sets, Information and Control 8 (1965), no. 3, 338–353. https://doi.org/10.1016/S0019-9958(65)90241-X