Chromatic Number of Resultant of Fuzzy Graphs

Abstract

Fuzzy graph coloring techniques are used to solve many complex real world problems. The chromatic number of complement of fuzzy graph is obtained and compared with the chromatic number of the corresponding fuzzy graph. The chromatic number of the resultant fuzzy graphs is studied, obtained by various operations on fuzzy graphs like union, join and types of products. A solution to routing problem is suggested by using chromaticity of fuzzy graphs.

Keywords

• Fuzzy graph
• Chromatic number
• Operations of fuzzy graphs
• Routing problem