Abstract:In this paper, the MBJ-neutrosophic set is applied to graph theory. The notion of MBJ
neutrosophic graph is introduced, and many properties are considered. Then thenotions of MBJ-neutrosophic path, MBJ-neutrosophic diameter, MBJ-neutrosophic complete graph, MBJ-neutrosophic strong graph and strength of MBJ-neutrosophic graphs are defifined and several examples to illustrate these notions are provided. Moreover, the concepts of MBJ-neutrosophic bridge and MBJ-neutrosophic cutvertex are given, and related properties are investigated. Finally, we have an application of MBJ-neutrosophic graphs.
讲述人：伊朗Shahid Beheshti 大学 Rajab Ali Borzooei传授
Ph. D. Degree in Mathematics
Department of Mathematics
Shahid Beheshti University
Velenjak Street,Tehran Province, Iran
Prof. R. A. Borzooei is workingat Department of Mathematics, Shahid Beheshti University, Tehran, Iran. He hasreceived his Ph.D. at University of Kerman. He has published more than 200papers in several journals. His mathematical research areas are algebra ( general algebra，logical algebras)，algebraic hyperstructures，fuzzy mathematics, algebraicgraphs and fuzzy graphs.He is working as an (managing) editor of 8journals, such as:
l From 2002-to date: Managing Editor and Founder: Iranian Journal of Fuzzy Systems(IJFS) (Iran).
l From 2019-to date: Editor-in-Chief and Founder: Journal of Algebraic Hyperstructures and Logical Algebras(JAHLA) (Iran).