QA220 : Fuzzy Graph and some of the it’s Applications
Thesis > Central Library of Shahrood University > Mathematical Sciences > MSc > 2013
Authors:
Abstarct: In this thesis we study fuzzy graphs and some of it’s applications, and extend some
properties of crisp graphs to fuzzy graphs. In the first chapter we state some basic definitions and properties of fuzzy graphs. In chapter 2, we study some operations on fuzzy
graphs such as union, join, cartesian product, composition, normal product and tensfor
product. In chapter 3 we study isomorphism on fuzzy graphs, and in chapter 4 we study
regular and totally regular fuzzy graphs. In chapter 5 we consider planar fuzzy graphs
and investigate Euler’s formula for fuzzy graphs. Finally in chapter 6, we state some
applications of fuzzy graph such as eigenvalues and energy in fuzzy graph, coloring fuzzy
graphs and dominition in fuzzy graph.
Keywords:
#Fuzzy graph; Operations on fuzzy graph; Isomorphism; Regular fuzzy graph; Fuzzy planar graph Link
Keeping place: Central Library of Shahrood University
Visitor:
Keeping place: Central Library of Shahrood University
Visitor: