According to the research paper on Perfect Dominating Sets by Marilynn Livingston and Quentin F. Stout[1]they have been constructed the PDSs in families of graphs arising from the interconnected networks of parallel computers ...

For the graph G = (V (G), E(G)), a function f : V (G) → {0, 1} is called a product cordial labeling of G if the induced edge labeling function defined by the product of end vertex labels be such that the edges with label ...

The aim of this manuscript is to propose a contraction to pursue the existence of quadruple best proximity point results. The finding of this manuscript generalize and unify the results of Rohen and Mlaiki by using the new ...

For a graph G=(V, E), a set S⊆ V (S⊆ E) is a restrained dominating (restrained edge dominating) set if every vertex (edge) not in S is adjacent (incident) to a vertex (edge) in S and to a vertex (edge) in V-S (ES). The ...

Domination theory is a part of Graph theory is used for finding communities in networks, device for modeling, description of real world network systems such are : Transport, Water, Electricity, Internet and many more. ...

A function f: V(G) →{2,4, …, 2|E(G)|} is called an even mean labeling of graph G if it is injective and when each edge e=uv is labeled with average sum of f(u) and f(v) then the resulting edge labels are distinct. Here ...

A vertex dominating set D of V (G) is called a chromatic transversal dominating set of G if D intersects every color class of G. The minimum cardinality of D is called a chromatic transversal domination number of G. In ...

The eigenvalue of a graph G is the eigenvalue of its adjacency matrix. The energy E (G) of G is the sum of absolute values of its eigenvalues. A natural question arises: How the energy of a given graph G can be related ...

The energy of a graph G is the sum of the absolute values of the eigenvalues of the adjacency matrix of G. Some variants of energy can also be found in the litera- ture, in which the energy is de_ned for the Laplacian ...

In this article, we develop some PPF dependent fixed point results for nonself mapping in Metric spaces for Prešić-Hardy-Rogers contraction, which is generalization of Prešić type contraction, where the domain space abstract ...