Density results for perfectly regular and perfectly edge-regular fuzzy graphs

Abstract

This paper studies the fuzzy graph properties of density and being self-complimentary in perfectly regular and perfectly edge-regular fuzzy graphs. Several structural results for these classes of fuzzy graphs are provided. These results are parameterized by the parameters which define perfectly regular and perfectly edge-regular fuzzy graphs, thus illustrating the computational benefits of using these classes of fuzzy graphs to represent and/or approximate fuzzy networks when performing analyses of fuzzy networks.

Subject Classification: (2010):

• 03B52
• 05C72
• 05C42

Keywords:

• Fuzzy graph
• Density
• Regular
• Perfectly regular fuzzy graph

Correction Statement

This article has been corrected with minor changes. These changes do not impact the academic content of the article.