[PDF] Top 20 Edge domination on S− valued graphs

... of S− valued graphs, where S is a ...theory, domination of graphs is the most powerful area of research for, it has several applications in other areas of ...vertex ... See full document

... semiring valued graphs. Since then several properties of S-Valued graphs have been studied by ...of edge domination on S-Valued graphs and Strong and ... See full document

... subset S such that every vertex V is either an element of S or is adjacent to some element of ...set S is a minimal dominating set if no proper subset S S is a dominating ...called ... See full document

... A dominating set D V is said to be a split dominating set of G , if the induced sub graph V  D is disconnected. The minimum cardinality of vertices in such a set is called the split domination number of G and is ... See full document

... and edge set E(G). The set S ⊆ V (G) of vertices in a graph G is called a dominating set if every vertex v ∈ V (G) is either an element of S or is adjacent to an element of ...set S is called ... See full document

... simple graphs are considered. The concept of domination in graphs was introduced by ...on domination have been published by ...an edge is defined to be deg u + deg v – 2 [4] . An ... See full document

... subset S of V is called a dominating set of G if every vertex not in S is adjacent to some vertex in ...The domination number of G denoted by γ(G) is the minimal cardinality taken over all dominating ... See full document

... Total Edge Domination and Some Secure and Inverse Secure Fuzzy Domination Parameters‖, ...Dawes, S T Hedetniemi, ―Total domination in graphs‖, Networks, 10 1980, ...Cockayne, ... See full document

... In (Kiruthiga Deepa, 2016) we have defined the terms ev weight m dominating set, in which we have considered the weight of edges which dominates the weight of the vertices belonging to the spanning sub graph of N ... See full document

... . S The domination number of G denoted by γ (G ) is the minimal cardinality taken over all dominating sets of G A subset F of E is called an .... edge dominating set if each edge in E is ... See full document

... simple graphs. For a graph G, let V(G) and E(G) denote its vertex set and edge set ...in S. The domination number (G) of G is the minimum cardinality taken over all dominating sets of ...An ... See full document

... of domination in graphs was initiated by Berge ...Semiring valued graphs (simply S-valued ...mixed domination [3] and edge-vertex mixed domination [4] on ... See full document

... of domination in graphs has been introduced by Berge [1], and continued by several ...on domination in the year ...semiring valued graphs. In [8], we studied the S- valued ... See full document

... The domination number γ(G) of G is the minimum cardinality of a dominating set of ...many domination parameters are given in the books by Kulli in [2, 3, ...an edge dominating set if every ... See full document

... Domination Theory has a wide range of applications to many fields like Engineering, Communication Networks, Social sciences, linguistics, physical sciences and many others. Allan, R.B. and Laskar, R.[1], Cockayne, ... See full document

... In 1962, ore used the name “dominating set” and “domination number” for the same concept. In 1977, Cockayne and Hedetniemi made an interesting and extensive survey of the results known at that time about ... See full document

... Total domination in graphs was introduced by Cockayne, Dawes and Hedetniemi. A dominating set of a graph is a total dominating set, if its induced sub graph has no isolated vertices. Alternately we define a ... See full document

... equitable domination number in ...between domination and degree equitable domination and independent ...the domination number, degree equitable domination number and independent ... See full document

... In a graph G = (V, E), a subset S  V(G) is said to be a distance closed dominating (D.C.D) set, if (i) <S> is distance closed; (ii) S is a dominating set. A distance closed dominating set D is ... See full document

... K and isolated vertices. Since G is a disconnected graph and    G  1 , G has at least three vertices. Assume that G has m induced sub-graphs K 2 . For solving the problem it is enough to show that m  2 . On ... See full document