DOMINATING SET ON CHAIN OF FUZZY GRAPHS

Main Article Content

Russel H. Majeed
Nabeel E. Arif

Abstract

In this paper, we define fuzzy graph chains, which comprise vertex identification. These fuzzy graphs are isomorphic fuzzy graphs, provide that after applying various features to the chain of fuzzy graphs, which as special fuzzy graph chain of .

Article Details

How to Cite
Russel H. Majeed, & Nabeel E. Arif. (2023). DOMINATING SET ON CHAIN OF FUZZY GRAPHS. Tikrit Journal of Pure Science, 28(3), 92–95. https://doi.org/10.25130/tjps.v28i3.1430
Section
Articles

References

[1] Mathew, S.; Mordeson, J. N. and Malik, D. S. (2018). Fuzzy graph theory. Berlin, Germany: Springer International Publishing. (Vol. 363). [2] Abdullah, M. M. and Ali, A. M. (2020). Schultz and Modified Schultz Polynomials of Vertex Identification Chain for Square and Complete Square Graphs. Open Access Library Journal, 7(5): 1-10. [3] Somasundaram, A. and Somasundaram, S. (1998). Domination in fuzzy graphs–I. Pattern Recognition Letters, 19(9): 787-791. [4] Gani, A.N, M. Basheer Ahamed. Strong and weak domination in fuzzy graphs. East Asian Math. J. 23 (2007), No. 1: pp. 1–8 [5] Al Mutab, H. M. (2019). Fuzzy Graphs. Journal of Advances in Mathematics, 17: 232-247. [6] Pal, M., Samanta, S. and Ghorai, G. (2020). Modern trends in fuzzy graph theory Berlin: Springer. (pp. 7-93). [7] Mathew, S. and Sunitha, M. S. (2009). Types of arcs in a fuzzy graph. Information sciences, 179(11): 1760-1768. [8] AL-Emrany, S. H. and Shubatah, M. M. Wiener Index of Fuzzy Graph by Using Strong Domination. [9] Gani, A. N. and Devi, K. P. (2015). 2-domination in fuzzy graphs. International Journal of Fuzzy Mathematical Archive, 9(1):119-124.