Let G=(V, E) be a simple, finite and undirected graph. A non-empty subset D of V(G) is called a dominating set of G if for any vertex u in V(G)-D, there exists a vertex v in D such that u and v are adjacent. There are several types of domination depending on the nature of domination or the nature of the dominating set. In this paper, a new type of domination namely, Super complementary domination is defined and its properties are studied. A new parameter called Super complementary domination number is defined and its value is determined for some well-known graphs. Trees with super complementary domination number having the value half of the order of the tree are characterized.

A graph G=(V, E) with p vertices and q edges is said to be skolem mean graph if it is possible to label the vertices x ? V with distinct elements f(x) from 1,2,?,p in such a way that when each edge e = uv is labeled with (f(u)+f(v))/2 if f(u) + f(v) is even and (f(u)+f(v)+1)/2 if f(u) + f(v) is odd, then the resulting edges get distinct labels from 2,3,?,p. f is called a skolem mean labeling of G. In this paper, we prove the five star graph G=K_(1,a_1 )?K_(1,a_2 )?K_(1,a_3 )?K_(1,a_4 )?K_(1,b) where a_1 ? a_2 ? a_3 ? a_4 is a skolem mean graph if |b - a_1 - a_2 - a_3 - a_4 |?1

In this paper, we introduce a new venture to establish some class of mappings namely nano ?g ?-open map, nano ?g ?-closed map and studies their relationship with already existing closed map and open map in Nano Topological space. Furthermore, we establish the stronger form of ?g ?-closed mappings and examine its characterizations.

In this paper, aspects of generalized Manifolds with boundary are explored. The standard material on the notions of Manifolds with boundary and some definitions and examples that are needed are presented first. Then the Brouwer fixed point theorem and its needed lemmas are studied.

The design and analysis of interconnection networks has been a key research area in recent years due to its recent advances in parallel and distributed system. Although the remarkable cayley graphs have played a prominent role in interconnection networks, there has been an increasing interest in studying non-cayley graphs. In this paper we present characterization theorems on certain classes of non-cayley graphs. To attain the characterization, we approach the slope number and domatic number for investigation and studied elaborately for non-cayley graphs such as generalized petersen graph, butterfly and benes network. Here, the slope number is about minimizing the slopes and domatic number is about partitioning the vertices into dominating sets. The main purpose of the paper is to provide relationship between slope number and domatic number based on the characterization that satisfies equality condition.

This paper presents an analysis for MHD flow for an unsteady and incompressible the generalized Oldroyd-B fluid occupying a circular cylinder. The effects of radiation and heat transfer are considered to formulate the constitutive equation. In the fluid, the magnetic field is imposed in the positive direction of y-axis. The nonlinear partial differential equations those arise in this model are solved by employing Fourier sine transform and Inverse Fourier sine transform techniques. The effect of different physical parameters heat and conduction and their influences on the velocity filed is described.