An Ad-hoc network is one that is spontaneously formed when device connect and communicate with each other. It is mostly wireless local area network (WLANs). The devices communicate with each other directly instead of ...

For a connected graph of order n, the metric basis of a G is a smallest set {} k v vv S,,, 2 =1 of vertices of G such that for vertex, G u∈ the ordered k-tuples of are all distinct.distances {()()()()} k vud vud vud ...

A subset S of vertices of G is an open packing of G if the open neighborhoods of the vertices of S are pairwise disjoint in G while open packing number of G is the maximum cardinality among all the open packing sets of ...

We introduced Kasaj topological spaces which is a partial extension of Micro topological space which is introduced by S. Chandrasekar. We also analyzed basic properties of some weak open sets in Kasaj topological spaces. ...

In year 2013, L. Thivagar et al. introduced nano topological space and he analysed some properties of weak open sets. In this paper we shall introduce Kasaj-topological space. We shall introduce some new classes of weak ...

Recently, We defined Kasaj-topological space and weak open sets namely Kasaj-pre-open sets, Kasaj-semi-open sets, Kasaj-alpha-open sets, Kasaj-beta-open sets in Kasaj topological spaces and analyzed their basic properties. ...

A radio labeling of a graph $G$ is a function $f$ from the set of vertices $V(G)$ to the set of non-negative integers such that $|f(u)-f(v)|\geq \diam(G) + 1 - d(u,v)$ for every pair of distinct vertices $u,v$ of $G$. The ...

For a graph G = (V, E), a set S ⊆ V is a restrained dominating set if every vertex not in S is adjacent to a vertex in S and to a vertex in V − S. The smallest cardinality of a restrained dominating set of G is called ...

For a graph G = (V, E), a set S ⊆ V is a restrained dominating set if every vertex not in S is adjacent to a vertex in S and also to a vertex in V − S. The minimum cardinality of a restrained dominating set of G is called ...

For a graph G = (V,E), a subset D of E is restrained edge dominating set of G if every edge not in D is adjacent to an edge in D as well as an edge in E −D. The restrained edge domination number of G, denoted by γre(G) is ...