International Journal of Mathematics Trends and Technology
Volume 65 | Issue 8 | Year 2019 | Article Id. IJMTT-V65I8P515 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I8P515
In this paper, the new concept “fuzzy topologized domination in graphs” is introduced. This topologized domination concept may be applied to different graphs like complete graph, star graph, wheel graph, trees and paths. The basic properties of fuzzy topologized dominating set are also analysed. Finally a couple of example is also provided to illustrate fuzzy topologized domination graph.
[1] P. Bhaskarudu, “Matching domination in graphs”. International journal of advances in scientific research and engineering, 3(4): 18-25, 2017.
[2] K. Bhuvaneswari, J. Amalorpava Bridget, Vimala .S, “Topologized domination in graphs” IAETSD Journal for advanced research in applied sciences, 5(3): 354-359, 2018.
[3] C. L. Chang, “ Fuzzy topological space”, Journal of mathematical analysis and applications, 24: 182 -190, 1968.
[4] Haydar Es, “Connectedness in Pythagorean fuzzy topological spaces”, International journal of mathematical trends and technology, 65(7): 110-116, 2019.
[5] T.W. Haynes, S.T. Hedetniemi, and P.J. Slater, “Fundamentals of domination in graphs”, Marcel Dekker, Newyorks, 1998.
[6] S. Nagarajan, G. Priyadharsini, “Lucky edge labeling of new graphs”, International journal of mathematical trends and technology, 65(8): 26-30, 2019.
[7] O. Ore, “Theory of Graphs”, American mathematics society colloquium, 1962.
[8] S. Revathi, C.V.R. Harinarayanan and R. Muthuraj, “Connected total perfect dominating set in fuzzy graph”, International journal of computational and applied mathematics, 12(1): 84-98, 2017.
[9] Rosenfeld, L. A. Zedeh, K. S. Fu, M. Shimura, “ Fuzzy graphs, Fuzzy sets and their applications” Academic press, New York, 77−95, 1975.
[10] M. Shokry, “ Generating topology on graphs by operations on graphs”. Applied mathematical sciences, 9(5): 2843 – 2857, 2015.
[11] P. Vidhya, B. Senthilkumar, “ To design and develop on divisor graph”, International journal of mathematical trends and technology, 65(8): 13-20, 2019.
[12] S. Vimala and S. Kalpana, “ Topologized bipartite graph”, Asian research journal of mathematics, 4(1): 1-10, 2017.
[13] S. Vimala and K. Priyanka, “ Topologized Hamiltonian and complete graph”, Asian research journal of mathematics, 4(2): 1-10, 2017.
[14] S. Vimala and A. Jasmine Amala, “ Topologized cut vertex and edge deletion”, Asian research journal of mathematics, 5(1): 1-12, 2017.
[15] Zedeh L. A., Fuzzy sets, Information and control pp. 338-353. 1965.
K. Annadurai, A. Arockia Ancy, "Fuzzy Topologized Domination In Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 8, pp. 133-138, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I8P515
PDF 
Abstract 
Keywords 
References 
Citation