[PDF] Top 20 The Degree of an Edge in Union and Join of Two Fuzzy Graphs

... in fuzzy graphs ...of union, join, Cartesian product and composition on two fuzzy graphs ...The degree of a vertex in fuzzy graphs which are obtained ... See full document

... considered fuzzy relations on fuzzy sets and developed the theory of fuzzy graphs in 1975 ...on fuzzy graphs [1]. The operations of union, join, Cartesian product ... See full document

... nonmembership degree of u is :1 3G H ∪G I ; = :1 3G I ; Case 2: ; ∈ ∩ but no edge incident at u lies in ∩ ...any edge incident at u is either in E or in E but not ...membership degree of u is ... See full document

... considered fuzzy relations on fuzzy sets and developed the theory of fuzzy graphs in 1975 ...on fuzzy graphs [1]. The operations of union, join, Cartesian product ... See full document

... of fuzzy graphs and hypergraphs. After that, the operation of union, join, Cartesian product and composi- tion on two fuzzy graphs was defined by Mordeson and Peng ... See full document

... considered fuzzy relations on fuzzy sets and developed the theory of fuzzy graphs in 1975 ...on fuzzy graphs [1]. The operations of union, join, Cartesian product ... See full document

... an edge can connect more than two ...to fuzzy hypergraph . In this paper, we extend the concepts of fuzzy hypergraphs into that of intuitionistic fuzzy ...intuitionistic fuzzy ... See full document

... be two fuzzy graphs such that , < 1 < 1 is a constant ...regular fuzzy graph if and only if are both totally regular fuzzy graphs of the same degree ... See full document

... be fuzzy graphic sequence if there exists a graph G whose and G is called realization of ...S.A degree sequence of real numbers in which no two of its elements are l is called perfect degree ... See full document

... on fuzzy graphs [2]. Conjunction (tensor product) of two fuzzy graphs was defined by Nagoorgani and Radha ...The degree of a vertex in fuzzy graphs which are ... See full document

... of graphs; see [14] for details.The union of the simple graphs G and H is the graph ⋃ with vertex set ( ) ∪ ( ) and edge set ( ) ∪ ( ...their union as a disjoint union. Suppose ... See full document

... Suppose G is vertex PI−regular. Then the sum of each row of P is a constant, say k and 2 . By Perron–Frobenius theorem, a real square matrix with positive entries has a unique largest real eigenvalue and that the ... See full document

... The distinguishing number (index) D(G) (D 0 (G)) of a graph G is the least integer d such that G has an vertex labeling (edge labeling) with d labels that is preserved only by a trivial automorphism. In this paper ... See full document

... product graphs,the matching domination of Cartesian product graphs has been providing us sufficient stimulation for obtaining some in-depth knowledge of the various properties of the ...product ... See full document

... of fuzzy set as a method of presenting ...intuitionistic fuzzy set (IFS) [4] which looks more accurately to uncertainty quantification and provides the opportunity to precisely model the problem based on ... See full document

... each edge in G has same degree k , then G is said to be an edge regular fuzzy graph or k − edge regular fuzzy ...each edge in G has same total degree k , then G is ... See full document

... science. Fuzzy set theory, introduced by Zadeh in 1965 is a mathematical tool for handling uncertainties like vagueness, ambiguity and imprecision in linguistic variables ...of fuzzy sets has been ... See full document

... ABSTRACT: Fuzzy graph was introduced by Kaufmann [6] in ...uniform edge fuzzy graphs and Uniform vertex fuzzy ...regular graphs and complete fuzzy ... See full document

... 1736. Fuzzy set theory was first introduced by Zadeh in ...of fuzzy graph was introduced by Haufmann in 1973 based on Zadeh's fuzzy relations in ...of fuzzy graphs [7]. Now, ... See full document

... B.V.Padamwar is a Lecturer in the Department of Mathematics, Raipur Institute of Technology, Mandir Hasaud, Raipur, Chhattisgarh, India. In 1989, he obtained his Master’s Degree in Mathematics from Govt. Science ... See full document