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 Asian Journal of Current Engineering & Maths   [0 followers]  Follow       Open Access journal    ISSN (Print) 2277-4920 - ISSN (Online) 2277-4920    Published by Innovative Journal  [7 journals]
• On Generalized e Closed Sets and e Continuous Functions

• Authors: A.P. Dhana Balan; C.Santhi.
Abstract: In this paper, the authors introduce and investigate some new classes of sets and some new classes of continuity namely generalized e-closed sets, δ-generalized e-closed sets and g-e-continuous, super-e-continuous, perfectly e-continuous functions and give several characterizations of such functions.
PubDate: 2014-05-28
Issue No: Vol. 3 (2014)

• On Near Equitable Domination in Graphs

• Authors: ali mohammed sahl
Abstract: Let $G=(V,E)$ be a graph, $D\subseteq V(G)$ and $u$ be any
vertex in $D$. The out degree of $u$ with respect to $D$ denoted
by $od_{_{D}}(u)$, is defined as $od_{_{D}}(u)= N(u)\D)$.Let $G=(V,E)$ be a graph, $D\subseteq V(G)$ and $u$ be any
vertex in $D$. The out degree of $u$ with respect to $D$ denoted
by $od_{_{D}}(u)$, is defined as $od_{_{D}}(u)= N(u)\cap (V-D)$. $D$ is called a near equitable dominating set of $G$ if for every $v\in V-D$, there exists a vertex $u\in D$ such that $u$ is
adjacent to $v$ and $od_{_D}(u)-od_{_{V-D}}(v) \leq 1$. The
minimum cardinality of such a dominating set is denoted by
$\gamma_{ne}$ and is called the near equitable domination number
of $G$. In this paper, we introduce the concept of near equitable
domination. The minimal near equitable dominating sets are
established. The relation between $\gamma_{ne}(G)$,
$\gamma_{e}(G)$ and $\gamma(G)$ are obtained, bounds for
$\gamma_{ne}(G)$ are found. Near equitable domatic partition in a
graph $G$ is also studied.
PubDate: 2014-05-28
Issue No: Vol. 3 (2014)

• SKOLEM GRACEFUL SIGNED GRAPHS ON DIRECTED GRAPHS

• Authors: P. Shalini; D. Paul Dhayabaran
Abstract: In this paper, a new concept skolem graceful signed graphs on directed graphs has been introduced. A graph G(p, m, n) is a bijective function f:V(G)->{1,2,3,…..p} such that when each edge uv ∈ E(G) is assigned by f(uv) = f+(v)-f-(u) the positive edges receive distinct labels from the set {1,2,3,……m} and the negative edges receive distinct labels from the set {-1,-2,-3,…….-n} is called a skolem graceful signed graphs. Moreover, some families of graphs which has skolem signed graphs are being coming under investigation.
PubDate: 2014-05-28
Issue No: Vol. 3 (2014)

• Five Dimensional Strings Cosmological Models With Viscous Fluid In
Barber’s Second Self Creation Theory Of Gravitation

• Authors: U.K.Panigrahi; Bishnukar Nayak
Abstract: In the modified theory of relativity proposed by Barber [1], we have investigated in this paper the spherical symmetric cosmological models in presence of sting with bulk viscosity. Determinate solutions are obtained under two cases and sub cases also considered. The various physical and geometrical features of the models are also discussed.
PubDate: 2014-05-28
Issue No: Vol. 3 (2014)

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