Author:
Ma Junye,Shen Lijing,Li Lin
Abstract
AbstractCut vertices and cut edges are valuable for analyzing connectivity problems in classical graph theory. However, they cannot deal with certain fuzzy problems. In order to solve this problem, this paper introduces the definitions of fuzzy strong cut vertices and fuzzy strong cut edges, and characterizes fuzzy strong cut vertices and fuzzy strong cut edges in fuzzy trees, complete fuzzy graphs, and fuzzy cycles. Finally, practical applications verify the effectiveness of the theory in network stability analysis.
Funder
National Nature Science Foundation of China
Fundamental Research Program of Shanxi Province
Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi
Publisher
Springer Science and Business Media LLC