Affiliations: [a]
College of Mathematics and Software Science, Sichuan Normal University, Chengdu, Sichuan, China
| [b]
College of Mathematics and Information Science, Leshan Normal University, Leshan, Sichuan, China
Correspondence:
[*]
Corresponding author. Xue-ping Wang, College of Mathematics and Software Science, Sichuan Normal University, Chengdu, Sichuan 610066, China. Tel.: +86 28 84761393; Fax: +86 28 84761284; E-mail: xpwang1@hotmail.com.
Note: [1] This work was supported by National Natural Science Foundation of China (No. 11171242), Scientific Research Fund of Sichuan Provincial Education Department (No. 16ZB0297, 16TD0029) and Research Projects of Leshan Normal University (Z1402).
Abstract: This paper deals with fuzzy clique covers in fuzzy graphs. The definition of a fuzzy clique is modified so that the fuzzy subgraph induced by each fuzzy clique is complete. Then, fuzzy cliques and maximal fuzzy cliques are characterized. Finally, fuzzy clique covers and minimum fuzzy clique covers in fuzzy graphs are introduced and characterized, and an algorithm to find a minimum fuzzy clique cover of a given fuzzy graph is also presented.
