[PDF] Top 20 2–Domination in Fuzzy Graphs

... a fuzzy graph G if for every ∈ V− D, there exist # ∈ D such that # dominates ...The domination number, (G), of a fuzzy graph G, is the smallest number of nodes in any dominating set of ... See full document

... of fuzzy graph and several fuzzy analogues of graph theoretical concepts such as paths cycles and connectedness are introduced by Rosenfeld ...regarding fuzzy cut node and fuzzy bridges. The ... See full document

... of domination was initiated by Ore and Berge. The domination number and Independent domination number are introduced by Cockayne and Hedetniemi ...of fuzzy graph and several fuzzy ... See full document

... Definition 2.23. [17] Minimum cardinality among all minimal dominating set is called lower-domination number of G, and is denoted by d(G). Maximum cardinality among all minimal dominating set is called ... See full document

... Proof : Let G be a 2- regular graph. Then each of its vertices will be of degree 2. In the corona of G, for each vertex x, we introduce a new vertex and join them. Consequently, an edge is added to each of ... See full document

... of Fuzzy Soft ...equitable Domination in Fuzzy Graphs, IJSETR, ...Sekaran, Domination in Fuzzy Graph, Advances in fuzzy Sets and Systems, 1(1)(2006), 17-26 [6] Muhammad ... See full document

... intuitionistic fuzzy set-domination set if every set T ⊆ V-D, there exists a non empty set S ⊆ D such that the intuitionistic fuzzy induced sub graph < S T > is ...intuitionistic fuzzy ... See full document

... a fuzzy graph. A set D of V is said to be fuzzy dominating set of G if every v ∈ V-D there exist u ∈ D such that u dominates ...A fuzzy dominating set D of G is called a minimal fuzzy ... See full document

... A fuzzy subgraph : , spans the fuzzy graph : , , if ...connected fuzzy graph , , is called a fuzzy tree(f-tree) if it has a fuzzy spanning subgraph X: , , which is a tree (in crisp ... See full document

... strong domination number, disconnected strong domination number, total connected strong domination number, total disconnected strong domination number, left semi connected domination ... See full document

... number of colours required to colour all the vertices such that adjacent vertices do not receive the same colour is the chromatic number (G). For any graph G a complete sub graph of G is called a clique of G. In this ... See full document

...  respectively, P n denotes the path on n vertices. The vertex connectivity  (G ) of a graph G is the minimum number of vertices whose removal results in a disconnected graph. The Chromatic Number χ is defined to be the ... See full document

... 1 PG & Research Department of Mathematics, H.H. The Rajah’s College, Pudukkottai – 622 001, Tamilnadu, India 2 Department of Mathematics, PSNA College of Engineering and Technology, Dindigul-624 622, ... See full document

... cardinality 2-tuple domination problem on trapezoid graphs using O(n 2 ...trapezoid graphs known as interval graphs and permutation graphs and the time complexity remains ... See full document

... plication to Algorithms and Computer Science. John Wiley and Sons, New York, 282-300. [3] Fink, J.F. and Jacobson, M.S. (1985) On n-Domination, n-Dependence and Forbidden Sub- graphs. In: Graph Theory with ... See full document

... of fuzzy dominating set is denoted by  f (G ) . A Fuzzy graph G is said to be Fuzzy excellent if for every vertex of G belongs to  f -set of ...total fuzzy excellent and just total ... See full document

... irregular fuzzy soft graphs and described applications of fuzzy soft graphs in social network and road network, Akram and Zafar [13] introduced notions of fuzzy soft cycles, ... See full document

... Bang, Fuzzy relations, Fuzzy relations, fuzzy graphs and their applications to clustering analysis, in: Fuzzy Sets and Their Applications to Cognitive and Decision Processes, ... See full document

... The fuzzy definition of fuzzy graphs was proposed by Kaufmann [4], from the fuzzy relations introduced by Zadeh ...including fuzzy vertex and fuzzy edges. Several fuzzy ... See full document

... of fuzzy graphs was proposed by Kafmann, from the fuzzy relations introduced by ...including fuzzy vertex and fuzzy edges, and several fuzzy analogs of graph theoretic concepts ... See full document