2-Quasitotal Fuzzy Graphs and Their Total Coloring. (21st November 2020)

• Record Type: Journal Article
• Authors: Repalle, V. N. Srinivasa Rao; Agama, Fekadu Tesgera
• Other Names: Honda Katsuhiro Academic Editor.
• Is Part Of: Advances in fuzzy systems. Volume 2020(2020)
• Publication Date: 2020-11-21
• Subjects: Fuzzy systems -- Periodicals; Systèmes flous; Fuzzy systems; Periodicals; 511.313
• DOI: 10.1155/2020/8814220
• Languages: English
• ISSNs: 1687-7101

Abstract

Abstract : Coloring of fuzzy graphs has many real-life applications in combinatorial optimization problems like traffic light system, exam scheduling, and register allocation. The coloring of total fuzzy graphs and its applications are well studied. This manuscript discusses the description of 2-quasitotal graph for fuzzy graphs. The proposed concept of 2-quasitotal fuzzy graph is explicated by several numerical examples. Moreover, some theorems related to the properties of 2-quasitotal fuzzy graphs are stated and proved. The results of these theorems are compared with the results obtained from total fuzzy graphs and 1-quasitotal fuzzy graphs. Furthermore, it defines 2-quasitotal coloring of fuzzy total graphs and which is justified.