Strong Fuzzy Chromatic Polynomial (SFCP) of Fuzzy Graphs and Some Fuzzy Graph Structures with Applications

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...

Strong Chromatic Number of Fuzzy Graphs

Just chromatic exellence in fuzzy graphs

A fuzzy graph is a symmetric binary fuzzy relation on a fuzzy subset. The concept of fuzzy sets and fuzzy relations was introduced by L.A.Zadeh in 1965cite{zl} and further studiedcite{ka}. It was Rosenfeldcite{ra} who considered fuzzy relations on fuzzy sets and developed the theory of fuzzy graphs in 1975. The concepts of fuzzy trees, blocks, bridges and cut nodes in fuzzy graph has been studi...

A Look into Some Applications of Fuzzy Graph Structures

Bunn, Urban and Keitt[12] discuss landscape connectivity in the Coastal Plain of North Carolina through a graph theoretic approach using focal-species analysis. Graph Theory is very much useful in the study of landscape connectivity using graph as an ecological construct. Different nodes (vertices) represent habitat patches and edges, the distance (functional distance and not Euclidean distance...

Chromatic number of fuzzy graphs

Abstract. Coloring of fuzzy graphs plays a vital role in theory and practical applications. The concept of chromatic number of fuzzy graphs was introduced by Munoz[6] et.al. Later Eslahchi and Onagh [7]defined fuzzy coloring of fuzzy graphs and defined fuzzy chromatic number χ (G). Incorporating the features of these two definitions, the definition of chromatic number of a fuzzy graph χ(G), is ...