## Volume 4 (2016)Article in Press

ISSUE 1 − A ISSUE 1 − B
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 Article Type : Research Article Title : $M$*-open Sets in Topological Spaces Country : India Authors : A.Devika || A.Thilagavathi

Abstract: The aim of this paper is to introduce a new class of open sets called $M$*-Open sets and investigate some properties of these sets in topological spaces.

Keywords: Open sets, $M$*-open sets, $M$*-closed sets.

A.Devika
Department of Mathematics, PSG College of Arts and Science, Coimbatore, Tamilnadu, India.
E-mail: devirakavi@gmail.com

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 Article Type : Research Article Title : Slightly $(b, \mu)$-Continuous Functions Country : India Authors : O.Ravi || N.Navaneethakrishnan || P.Jeyalakshmi

Abstract: We study the concepts related to $\lambda$-b-open sets, $\lambda$-b-closed sets and $(b, \mu)$-continuity. Also some basic properties of slightly $(b, \mu)$-continuous functions and connectedness and covering properties of slightly $(b, \mu)$-continuous functions are investigated.

Keywords: $\mu$-clopen set, $\lambda$-closed set, $\lambda$-b-closed set, $(b, \mu)$-continuity, $(\lambda, \mu)$-continuity, slightly $(b, \mu)$-continuity.

O.Ravi
E-mail: siingam@yahoo.com

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 Article Type : Research Article Title : Some Class of Sasakian Manifolds with Respect to the Quarter-Symmetric Metric Connection Country : India Authors : D.G.Prakasha || B.S.Hadimani

Abstract: We consider $\mathcal{M}$-Projective curvature tensor on a Sasakian manifolds with respect to the quarter-symmetric metric connection. Here, we obtain the condition for the Sasakian manifold to be quasi-$\mathcal{M}$-Projectively flat and $\phi$-$\mathcal{M}$-projectively flat with respect to the quarter-symmetric metric connection.

Keywords: Sasakian manifold, $\mathcal{M}$-projective curvature tensor, quarter-symmetric metric connection, quasi-$\mathcal{M}$-projectively flat, $\phi$-$\mathcal{M}$-projectively flat.

D.G.Prakasha
Department of Mathematics, Karnatak University, Dharwad, India.

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 Article Type : Research Article Title : A Note on Matrix Representations of Finite Cyclic Groups Country : India Authors : S.K.Pandey

Abstract: In this article we provide a general technique to construct matrix representations of additive cyclic group of any finite order and multiplicative cyclic group of order $p-1$ (p is a positive prime).

Keywords: Group, finite group, matrix group, order of a group, cyclic group.

S.K.Pandey
Department of Mathematics, Sardar Patel University of Police, Security and Criminal Justice, Daijar, Jodhpur, Rajasthan, India.
E-mail: skpandey12@gmail.com

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 Article Type : Research Article Title : Analysis of Results that the Class of Metric Spaces is a Proper Subclass of the Class of Fuzzy Metric Spaces Country : India Authors : Dipen Saikia || Tazid Ali

Abstract: In this paper we will establish that every metric space induces a fuzzy metric space using some results and examples of fuzzy metric space from the reference of George and Veeramani [4] and Kramosil and Michalek [9].

Keywords: Metric space, Fuzzy metric space, Stationary fuzzy metric.

Dipen Saikia
Department of Mathematics, CMJ University, Meghalaya, India.
E-mail:

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 Article Type : Research Article Title : Performance Analysis of a Cold Standby System with fault Detection and Arrival Time of Server Subject to Imperfect Coverage Country : India Authors : Ashish Kumar || Monika Saini || Devesh Kumar Srivastava

Abstract: The main aim of present paper is to analyse the performance measures of a standby system by using the concept of arrival time of server, repair, imperfect coverage, detection and replacement. A single repair facility is provided to the system as and when required. The repairman takes some time to conduct the repair services. Upon failure of the unit repairman first detect the failed unit to check the feasibility of repair and replacement in case fault is not completely coverage. The repair, replacement, detection and arrival time of the repairman are considered as arbitrary distributed while failure rate is taken as negative exponential distributed. The failure time of the unit is exponentially distributed while the distribution of repair times, replacement time and recovery time of the unit follows arbitrary distribution. Various recurrence relations for reliability, MTSF, availability and profit function are derived using semi-Markov process and regenerative point technique. Graphs for availability and profit function are drawn with respect to failure rate.

Keywords: Standby System; Arrival Time of Server; Imperfect Coverage; Replacement and Performance Measures.

Devesh Kumar Srivastava
Department of Information Technology, Manipal University Jaipur, Jaipur-303007, Rajasthan, India.
E-mail:

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 Article Type : Research Article Title : Some Finite Summations Involving Srivastava-Daoust Double Hypergeometric Functions Country : India Authors : M.I.Qureshi || K.A.Quraishi || Mohd.Sadiq Khan || Rahul Singh

Abstract: The main object of the present paper is to obtain seven finite summation formulae (not recorded earlier) involving Srivastava-Daoust double hypergeometric functions using series rearrangement technique.

Keywords: Pochhammer's symbol; Double hypergeometric functions of Exton and Srivastava-Daoust; Ordinary Gaussian hypergeometric function.

K.A.Quraishi
Department of Applied Sciences and Humanities, Mewat Engineering College (Waqf), Palla, Nuh, Mewat, Haryana, India.
E-mail: kaleemspn@yahoo.co.in

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 Article Type : Research Article Title : New results on edge pair sum graphs Country : India Authors : P.Jeyanthi || T.Saratha Devi

Abstract: Let $G$ be a (p,q) graph. An injective map $f:E(G)\rightarrow\left\{\pm1,\pm2,\cdots,\pm q \right\}$ is said to be an edge pair sum labeling if the induced vertex function $f^{*}:V(G)\rightarrow Z-\left\{0\right\}$ defined by $f^{*}(v)= \mathop\sum\limits_{e\epsilon E_{v}}f\left(e\right)$ is one- one where $E_{v}$ denotes the set of edges in $G$ that are incident with a vertex $v$ and $f^{*}(V(G))$ is either of the form $\left\{\pm k_{1},\pm k_{2},\cdots,\pm k_{\frac{p}{2}}\right\}$ or $\left\{\pm k_{1},\pm k_{2},\cdots,\pm k_{\frac{p-1}{2}}\right\}$ $\bigcup$$\left\{\pm k_{\frac{p+1}{2}}\right\}$ according as $p$ is even or odd. A graph that admits an edge pair sum labeling is called an edge pair sum graph. In this paper we prove that the graphs jelly fish, Y-tree, theta, the subdivision of spokes in wheel $SS(W_{n})$, $P_{m} + 2K_{1}$, $C_{4} \times P_{m}$, $P_{n}\odot K^{c}_{m}$ admit edge pair sum labeling.

Keywords: Edge pair sum labeling, edge pair sum graph, jelly fish, Y-tree, theta graph, subdivision of spokes in wheel.

T.Saratha Devi
Department of Mathematics, G.Venkataswamy Naidu College, Kovilpatti, India.
E-mail: rajanvino03@gmail.com

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 Article Type : Research Article Title : Some Bounds on Co-isolated Locating Domination Number Country : India Authors : S.Muthammai || N.Meenal

Abstract: Let G (V, E) be a simple, finite and undirected connected graph. A non – empty set S Í V of a graph G is a dominating set, if every vertex in V – S is adjacent to atleast one vertex in S. A dominating set S Í V is called a locating dominating set, if for any two vertices v, w Î V – S, N(v)ÇS ¹ N(w)ÇS. A locating dominating set S Í V is called a co – isolated locating dominating set (cild – set), if there exists atleast one isolated vertex in . The co – isolated locating domination number gcild is the minimum cardinality of a co – isolated locating dominating set. In this paper, some bounds on co – isolated locating domination number are obtained. Also minimal cild – sets are characterized. Further the graphs for which gcild to be p – 2 are obtained.

Keywords: Dominating set, locating dominating set, co – isolated locating dominating set, co – isolated locating domination number.

N. Meenal
J.J. College of Arts and Science, Pudukkottai, Tamilnadu, India.
E-mail: meenal_thillai@rediffmail.com

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 Article Type : Research Article Title : Quotient of Ideals of a Vague Lattice Country : India Authors : I.Arockiarani || K.Reena

Abstract: In this Paper we define the Ideal of a Vague Lattice and give some characterization of these Ideals in terms of operations on VS(L). Also we discuss the residual of ideals of a Vague Lattice and prove that the residual of ideals is again a Vague Ideal of the Vague Lattice. Moreover we establish that it is the largest ideal with respect to some property on the operations.

Keywords: Ideal of a Vague Lattice, residual.

K.Reena
Department of Mathematics, Nirmala College for women, Coimbatore, India.
E-mail: reenamaths1@gmail.com

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 Article Type : Research Article Title : Study of Anomalous Behavior of blood flow in Capillary Surrounded by tissue Country : India Authors : Rekha Bali || Swati Mishra || P.N.Tandon

Abstract: A Mathematical model for the two phase flow of blood in a narrow capillary surrounded by the tissue has been presented in this paper. We have developed the earlier two phase models of blood flow in capillaries into a model of capillary-tissue fluid exchange system by including porous tissue enclosing the capillary. Blood is not a homogeneous fluid, It is a suspension. The suspended blood cells accumulate at the axis in response to flow, resulting in a blunting of the velocity profile near the axis in contrast to the parabolic profile observed in homogeneous fluids. Earlier models have not included the effect of fluid exchange in between the capillary and the tissue while microtubes or capillaries are surrounded by tissue. Therefore, our aim is to include effects of permeability of the tissue with two phase flow of blood in narrow tubes. The model consists of a core region of suspension of all erythrocytes and a peripheral layer of plasma surrounding the core. The governing partial differential equations have been solved by using mathematical and computational techniques. Analytical results, in the proposed model for apparent viscosity, Bluntness and ratio of capillary hematocrit with discharge hematocrit values have been presented and discussed through graphs for various values of parameters and with their axial variations.

Keywords: Anomalous behavior, Apperant viscosity, Bluntness, Capillary-tissue fluid exchange.

Swati Mishra
Department of Mathematics, Harcourt Butler Technological Institute, Kanpur (India).
E-mail: swatimishra1982@yahoo.co.in

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 Article Type : Research Article Title : Algorithmic Aspects of k-Geodetic Sets in Graphs Country : India Authors : Dr.A.Anto Kinsley || K.Karthika

Abstract: Let \textit{G} be a connected graph of order \textit{p} $\mathrm{\ge}$ 2. We study about the geodetic sets and \textit{k}-geodetic sets of \textit{G}. We study link vectors and prove a theorem to develop an algorithm to find the \textit{k}-geodetic sets. Initially we study algorithms to find the closed interval between any two vertices of \textit{G} and to find it's link vectors. In this paper we present two algorithms to check whether a given set of vertices is a \textit{k}-geodetic set and to find the minimum \textit{k}-geodetic set of \textit{G}.

Keywords: Graph, geodetic set, k-geodetic set, graph algorithms.

Dr.A.Anto Kinsley
Department of Mathematics, St. Xavier’s (Autonomous) College, Palayamkottai, India.
E-mail: antokinsley@yahoo.com

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 Article Type : Research Article Title : Radiation effects of MHD Oscillatory Rotation Flow through a Porous Medium bounded by two Vertical Porous Plates in the Presence of Hall Current and Dufour effect with chemical reaction Country : India Authors : Dr.K.Balamurugan || Mr.R.Karthikeyan

Abstract: In this Article, Radiation Effects of Oscillatory flow through a porous medium bounded by two vertical porous plates in the presence of Hall Current and Dufour Effect with homogeneous First order chemical reaction under the influence of uniform magnetic field is studied. One plate is kept stationary and another plate is oscillating with uniform velocity. The Plates are subjected to the constant injection and suction velocities respectively. The basic governing equations of the problem are transformed into a system of non dimensional differential equations, which are solved analytically by using Perturbation techniques. The dimensionless Velocity, temperature and concentration profiles are displayed graphically showing the effects of fluid flow for the different values of the parameters involving in this problem like Hartmann Number M, Radiation Parameter F, Grashof Number Gr, chemical reaction parameter R, Dufour effects Du, It is observed that increase of Permeability parameter K, Hall Parameter m, shows the increase effects of Velocity profile. The increase of chemical reaction parameter R shows decrease effects of concentration.

Keywords: Hall Current, Dufour Effect, Chemical Reaction, MHD, Porous Medium, Oscillatory flow, Heat Source, Rotation effect.

Mr.R.Karthikeyan
Research Scholar, Department of Mathematics, Government Arts College, Tiruvannamalai, Tamilnadu, India.
E-mail:

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