[PDF] Top 20 On The Upper Open Geodetic Domination Number of a Graph

... minimal open geodetic dominatingset of with maximum cardinality so that ( ) =| | = | | + ...minimalopen geodetic dominating set of ...minimal open geodetic dominating set of ... See full document

... new upper bound for the α-domination number in terms of a parameter α, 0 < α ≤ 1, and graph vertex ...the domination number of a ...well-known upper bound for the ... See full document

... the open neighborhood of v, N(v) is the set of vertices adjacent to v and the closed neighborhood N[v] = N(v) ∪ ...Other graph theoretic terminology not defined here can be found in ... See full document

... connected graph of order . The total edge dominating set in a connected graph is called a minimal total edge dominating set if no proper subset of is a total edge dominating set of ...The upper total ... See full document

... chromatic number (G). For any graph G a complete sub graph of G is called a clique of ...an upper bound for the sum of the fuzzy total domination and chromatic number in fuzzy ... See full document

... 2) Proof: Roman Emperor Constantine had the requirement that an army or legion could be sent from its home to defend a neighboring location only if there was a second army, which would stay and protect the home. Thus, ... See full document

... a domination set in G if every vertex in V-S is adjacent to at least one vertex in ...total domination number and is denoted by (G). The minimum number of colours required to colour all the ... See full document

... called domination number of G which is denoted by . The open neighborhood N( of V(G) is the set of vertices adjacent to and the set N[ =N ∪ is the closed neighborhood of For any number “n” ... See full document

... of geodetic problem that finds its application in social ...SG number, denoted as It is stated in [5] that dominating set in general is not a geodetic set and the vice-versa is not ...called ... See full document

... connected graph, then a set S of vertices is a geodetic set if I[S] = ...a geodetic set is the geodetic number of G, and is denoted by ...The geodetic number of a ... See full document

... its open neighborhood, which motivates to our roman domination number of a ...a graph G = (V, E) is roman dominating set, if S and T are two subsets of D and satisfying the condition that ... See full document

... connected graph of order . The total edge dominating set in a connected graph is called a minimal total edge dominating set if no proper subset of is a total edge dominating set of ...The upper total ... See full document

... of domination in graphs has been extensively researched branch as it has large number of applications in different ...of domination has been the nucleus of research activities in graph theory ... See full document

... In the past some years intensely those Graphsstudied whose drawings can be viewed as approximations to the famous Sierprińskitriangle. The curiosity for thesegraphs comes from many diverse sources such as games like the ... See full document

... a graph we mean a finite, simple, connected and undirected graph G = (V,E), where V is the vertex set and E is the edge set of ...the graph G has p vertices and q ... See full document

... using graph models. Graph theory is the study of graphs, which are mathematical structures used to demonstrate pair wise relations between ...objects. Graph theory is too much old subject; even it is ... See full document

... number h(G) of G is the minimum order of its hull sets and any hull set of order h(G) is a minimum hull set or simply a h- set of G. A vertex x is said to lie on a u-v monophonic path P if x is a vertex of P ... See full document

... thirty domination parameters have been studied by different authors and in this paper, we have introduced the concept of strong edge domination in fuzzy ...edge domination number of complete ... 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 Domination in Graphs, Marcel ...split domination number of ...split domination number of a graph, Graph theory Notes of New York Academy of Sciences XXXII pp ... See full document