[PDF] Top 20 Distance Two Complementary Tree Domination Number of a Graph

... a graph G, let V(G) and E(G) denote its vertex set and edge set ...A graph with p vertices and q edges is denoted by G(p, ...of domination in graphs was introduced by ...the domination ... See full document

... a graph G = (V, E) is a dominating set, if every vertex in V(G) – D is adjacent to some vertex in ...The domination number γ (G) of G is the minimum cardinality of a dominating ...a ... See full document

... a graph G is an independent dominating set of G if S is an independent set and every vertex not in S is adjacent to a vertex in ...a graph is a set that is both dominating and ...a graph G is a set S ... See full document

... a graph = ( , ), we mean a finite, undirected connected graph without loops or multiple ...basic graph theoretic terminology, we refer to Harary 10 . The distance ( , ) between two ... See full document

... a graph G = (V,E), we mean a finite undirected connected graph without loops or multiple ...finite graph convexity space is a pair (V, E), formed by a finite connected graph G = (V, E) and a ... See full document

... largest distance between two vertices in V ...the domination number of G and it is denoted by γ(G) ...Another domination concept is 2-domination ...a graph G is a set D ⊆ ... See full document

... atleast two vertices in D. As G is a tree, |E (G)|  |V (G)|, it is clear that D has a pendant vertex or it has two vertices of degree two or ...Split two dominating set satisfies the ... See full document

... sub graph of G induced by ...of graph G , denoted by N(S) is the set of all vertices adjacent to some vertex in S, and N ( S ) ∪ S is called the closed neighbourhood of S, denoted by ...connected ... See full document

... a graph G is called a component of G .The number of components of G is denoted by ...the graph with vertex set V in which two vertices are adjacent iff they are not adjacent in ...A ... See full document

... species. Graph theoretical concepts are widely used in Operations ...spanning tree in a weighted graph, obtaining an optimal match of jobs and men and locating the shortest path between two ... See full document

... non-split domination in graphs. A dominating set D of a connected graph G is a non- split dominating set, if the induced subgraph < V(G) – D > is ...non-split domination number of G is ... See full document

... a graph G = (V, E) is a dominating set, if every vertex in V – D is adjacent to some vertex in ...The domination number γ(G) of G is the minimum cardinality of a dominating ...connected graph ... See full document

... Let G = (V, E) be any connected graph with at least two vertices. Adouble geodetic dominating set of G is a subset S of V(G) which is both dominating and double geodetic set of G. A double geodetic ... 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

... The bounds in Theorem 2.5 are sharp. For any graph = , = 2, ( ) = 2and ( ) = 2. Therefore 2 = ( ) = ( ) = . Also, all the inequalities in Theorem 2.5 are strict. For the graph given in Figure 1, ( ) = 3, ( ... 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

... the graph such a way that no two adjacent vertices get the same ...the graph. By the definition of Chromatic number of a graph for every graph G, a vertex coloring is a mapping ... See full document

... Now let g : E(G) → {1, 2}) . By the definition of line graph, there exist a 1-1 and on-to function between the vertices of line graph of G, i.e., V(H), and edges of G , i.e., E(G) ,such that g (e i ) = g(v ... See full document

... Proof: Since every vertex in V-D is adjacent to exactly one vertex in D. It implies that every two vertices in V-D and adjacent. As J(G) is n-regular every vertex in D is adjacent to some vertex in V-D. Suppose ... See full document

... sub graph of G corresponding to an interval family ...the domination number of  ( G ). Suppose D is a domination number of  ( G ...connected graph. Therefore we will find the ... See full document