Title of article :
On Edge Fuzzy Line Graphs and their Fuzzy Congraphs
Author/Authors :
Firouzian, Siyamak Department of Mathematics - Payame Noor University (PNU), Tehran, Iran , Sedghi, Shaban Department of Mathematics - Qaemshahr Branch - Islamic Azad University, Qaemshahr, Iran , Shobe, Nabi Department of Mathematics - Babol Branch - Islamic Azad University, Babol, Iran
Abstract :
In this paper, we introduce some new concepts of fuzzy graphs with the notion of degree of an edge in fuzzy line graphs and congraphs. Also, some properties and some lemmas of edge fuzzy line graphs and congraphs are studied. Finally, we state and prove some results related to these concepts.
Keywords :
Fuzzy graph , Fuzzy line graph , Fully connected graph , Common neighborhood graph , Congraph
Journal title :
Control and Optimization in Applied Mathematics
