On Edge Fuzzy Line Graphs and their Fuzzy Congraphs

Author(s):

Siyamak Firouzian * , Shaban Sedghi , Nabi Shobe

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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

Language:
English
Published:
Control and Optimization in Applied Mathematics, Volume:6 Issue: 1, Winter-Spring 2021
Pages:
81 to 89
https://www.magiran.com/p2478719