[PDF] Top 20 A Note on Chromatic Weak Dominating Sets in Graphs

... a chromatic weak dominating set (or cwd-set) if D is a weak dominating set and χ(< D >) = ...a chromatic weak dominating set in a graph G is called the ... See full document

... with the vertex is the degree of the vertex, and δ(v) denotes the degree of the vertex v. If there is more than one edge associated with a given pair of vertices, then these edges are called parallel edges or multiple ... See full document

... Note that maximum size of a minimal d-set is denoted by known as upper d-number of ...[16],monophonic dominating set (md-set in sort) can be defined as ... See full document

... valued chromatic harmonic polynomial and therefore a minimum chromatic harmonic ...valued chromatic harmonic polynomial and the maximum chromatic harmonic ... See full document

... complementary chromatic number of ...color. Note that these subsets may not be ...–partition. Dominating complementary color transversal set of G is a dominating set which is also transversal ... See full document

... We note that Theorem 2, not only characterizes graphs whose matching vector is equal to the chromatic vector of its complement, but also gives i a lower bound for the coefficients of the[r] ... See full document

... of graphs was first studied by Felix Hausdorff in the year ...two graphs by Haray, F [3]. Geller, D and Stahl [2] determined the chromatic number and other functions of this product in the year ... See full document

... a dominating set of G if every vertex in V-D is adjacent to atleast one vertex in ...the dominating set of G.A dominating set with minimum cardinality is called a 𝛾 - set of ...in graphs and ... See full document

... Abstract. In general (G) can be made to increase or decrease by the removal of nodes from fuzzy graph G. In this paper the effect of the removal of a node of a fuzzy graph on weak fuzzy dominating set is ... See full document

... many dominating sets one can pack into a given graph G and the main question is how to partition the vertex set of a graph into maximum number of disjoint dominating ...undirected graphs in ... See full document

... of sets has been studied by many ...independent sets. Partition of the vertex set into irredundant sets has also been ...and weak domatic partitions are ...independent sets, the number ... See full document

... Edge-Vertex Dominating Sets of Cycles Let Dev Cn , i be the family of ev-dominating sets of Cn with cardinality i.. We investigate the ev-dominating sets of Cn.[r] ... See full document

... restrained dominating set of 𝐺 + 𝐻 , that is, 𝑆 𝑧 is a restrained convex dominating set of 𝐺 + ...convex dominating set in 𝐺 + ...convex dominating set in 𝐺 + ... See full document

... photon funnels just like artificial antennas and also is a great resistant of photo bleaching. Recently some people investigated the mathematical properties of this nanostructures in [2,3, 6,10,11,14]. Also we ... See full document

... minimal dominating sets of ...minimal dominating set of G. x = – if u, v ∉ D where D is a minimal dominating set of ...entire dominating transformation graphs in domination ... See full document

... a dominating set of G, if NS V , or equivalently, every vertex in V \S is adjacent to at least one vertex in ...a dominating set in G. A dominating set with cardinality γG is called a γ-set, and the ... See full document

... prime dominating set if it is a dominating set and for every pair of vertices u and v in S such that (d(u), d(v)) = ...prime dominating set is called the relatively prime domination number and it is ... See full document

... if each vertex outside the set is dominated by at least one vertex inside the set. Then the order of the minimum dominating set is called as domination number 𝛾(𝐺). Similarly edge domination number 𝛾′(𝐺) is ... See full document

... 60% ink chromatic, Figure depicting ink for Graphs cyan variations of yellow, magenta, for color patch #6 for the normal 60% GCR, and the 100% GCR color process.. Graphs cyan chromatic, [r] ... See full document

... Similar to energies like Laplacian energy, distance energy, minimum covering energy, incidence energy [3,4, 5, 6, 7], the double dominating energy is defined in this paper and same is [r] ... See full document