A characterization for fuzzy strong cut vertices and fuzzy strong cut edges

被引：0
|
作者：
Ma, Junye [1 ]
Shen, Lijing [1 ]
Li, Lin [2 ]
机构：
[1] Taiyuan Univ Sci & Technol, Sch Appl Sci, Taiyuan 030024, Peoples R China
[2] Taiyuan Univ Sci & Technol, Sch Mech Engn, Taiyuan 030024, Peoples R China
来源：
SCIENTIFIC REPORTS | 2024年 / 14卷 / 01期
关键词：
ARCS;
D O I：
10.1038/s41598-024-66274-9
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Cut 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.
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页数：8
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