loading

Category: Issue 2

Circular chromatic number of some products

R. GANAPATHY RAMAN
Assistant Professor, Department of Mathematics Pachaiyappa’s College Chennai (INDIA)

ABSTRACT:

Of interest in this theory is the question of determining the circular chromatic number of product graphs. There are four kinds of graph products: (i) Cartesian Product (G 􀀀 H), (ii) Direct Product (G × H), (iii) Lexicographic Product (G . H) and (iv) Strong product (G 􀀀 H).

KEYWORDS: Cartesian Product


Of interest in this theory is the question of determining the circular chromatic number of product graphs. There are four kinds of graph products: (i) Cartesian Product (G 􀀀 H), (ii)...

Open Set and Closed Set Subspaces and the T1 Separation Axiom

CHARLES DORSETT
Texas A&M University-Commerce, Texas (USA)

ABSTRACT:

Within this paper, questions concerning open set and closed set subspaces of T1 spaces are investigated and resolved.

KEYWORDS: subspaces, proper subspace inherited properties, T1.


Within this paper, questions concerning open set and closed set subspaces of T1 spaces are investigated and resolved.

Program Slicing for Composite Data using Finite State Machine

K. THIAGARAJAN1, J.KAVITHA2 and PONNAMMAL NATARAJAN3
1Professor, Department of Mathematics in SBM College of Engineering and Technology, Dindigul, Tamil Nadu (INDIA)
2Department of Mathematics in SBM College of Engineering and Technology, Dindigul, Tamil Nadu (INDIA)
3R&D, Advisor in Rajalakshmi Engineering College, Affiliated to Anna University Chennai, Tamil Nadu (INDIA)

email : vidhyamannan@yahoo.comEmail: manokavi.j@gmail.com

ABSTRACT:

In the software development life cycle, the identification of errors/bugs plays an important role, as the end product should be bug free. This can be achieved through the concept of program slicing. Generally, program slice has a wider spectrum of applications that includedebugging, testing, maintenance, code understanding, complexity measurement, security etc., There are two different categories of program slicing namely, static slicing and dynamic slicing which can be identified using connected graph and its structural arrangements. Existing slicing techniques were implemented over intra procedural non composite data [only which doesn’t include arrays, structure, union etc,]. In the proposed work static program slicing concepts is applied over array of elements using finite state machine (FSM) method. Here, backward slicing techniques are applied to get quality output.

KEYWORDS: Slicing, Slice, Program Dependence Graph, Finite automata, Finite State Machine


In the software development life cycle, the identification of errors/bugs plays an important role, as the end product should be bug free. This can be achieved through the concept of program...

A Study of the Product Summability  , r  C,1 to derived Fourier Series

KALPANA SAXENA and ANITA
Govt. Motilal Vigyan Mahavidyalaya, Bhopal (INDIA)

ABSTRACT:

The object of the present note is to extend the theorems of Sachan (E,q) (C,1) summability, q0 of derived Fourier series.

KEYWORDS: Cesaro Summability : (, r) summability, (, r) (C, 1) summability.


The object of the present note is to extend the theorems of Sachan (E,q) (C,1) summability, q0 of derived Fourier series.

On Generalized Nörlund Summability Factors of Infinite Series

SATISH CHANDRA and SAAJAN KUMAR
Department of Mathematics S.M. Post – Graduate College, Chandausi – 244412 (INDIA)

ABSTRACT:

In this paper we have proved a theorem on generalized Nörlund summability Factors of infinite series , which generalizes various known results. However our theorem is as follows : Theorem : Let {pn} be a non-negative and non-increasing, {xn}
is a positive non-decreasing sequence and {n} is a positive decreasing sequence

KEYWORDS: Generalized Nörlund summability, Infinite series. 2000 Mathematics subject classification : 40D05 , 40E05 , 40F05 and 40G05.


In this paper we have proved a theorem on generalized Nörlund summability Factors of infinite series , which generalizes various known results. However our theorem is as follows : Theorem : Let...

Role of Fuzzy Stacks on Extended Topology

1R.K. DAS and 2MUKHLAL SAH
1Post Graduate Department of Mathematics S.K.M. University, Dumka (Jharkhand) (INDIA)
2Research Scholar, S.K.M. University, Dumka (Jharkhand) (INDIA)

ABSTRACT:

The paper is addressed to the introduction of some fuzzy stacks as to how they play an important role on extended fuzzy
topology and its results.

KEYWORDS: Fuzzy Stacks


The paper is addressed to the introduction of some fuzzy stacks as to how they play an important role on extended fuzzy topology and its results.

OnQuasi **g-Open and Quasi **g-Closed Functions

MANOJ GARG
Department of Mathematics, Nehru (P.G.) College, Chhibramau, Kannauj (U.P.) (INDIA)
E-mail : garg_manoj1972@yahoo.co.in

ABSTRACT:

In this paper, we introduce a new type of open function namely quasi **g-open function. Further we obtain its characterizations and its basic properties.

KEYWORDS: **g-open set, **g-closed set, **ginterior, **g-closure, quasi **g-open function. 2000 Mathematics Subject Classification: 54c10, 54c08, 54c05.


In this paper, we introduce a new type of open function namely quasi **g-open function. Further we obtain its characterizations and its basic properties.

Combined Effect of Radiation, Rotation and Hall Current on Heat and Mass Transfer Flow Past an Accelerated Porous Plate with Suction/Injection and Internal Heat Generation/Absorption

1N. P. SINGH and 2J. S. RAJPUT
1Department of Mathematics, CL Jain (PG) College, Firozabad-283203 (INDIA)
2Department of Mathematics, Krishna Girls Engineering College, Kanpur-209 217 (INDIA)

ABSTRACT:

Combined effect of Hall current, rotation and radiation on unsteady heat and mass transfer flow of a viscous, electrically conducting, incompressible fluid past an accelerated porous plate is investigated analytically. The plate is subjected to suction and injection. The fluid is gray, absorbing-emitting but non-scattering medium and the Rosseland approximation is used to describe the radiative heat flux in the energy equation. The non-dimensional equations governing the flow are solved by the use of Laplace transform technique. Numerical computations for effects of different parameters on the velocity, the temperature, the concentration field, the skin-friction, the Nusselt number and the Sherwood number are obtained, shown graphically or presented in tabular form followed by detailed discussion.

KEYWORDS: Accelerated Porous Plate


Combined effect of Hall current, rotation and radiation on unsteady heat and mass transfer flow of a viscous, electrically conducting, incompressible fluid past an accelerated porous plate is investigated analytically. The plate...

Average Number of Points of Inflection of a random sum of orthogonal polynomials

1LOKANATH SAHOO and 2MINAKETAN MAHANTI
1Gopobandhu Science College, Athgarh, Cuttack,Odisha Pin-754029 (INDIA)
2College of Basic Science and Humanities, Orissa University of Agriculture and Technology,Bhubaneswar, Odisha (INDIA)
Email :minaketan_mahanti@yahoo.com Email :lokanath.math@gmail.com

ABSTRACT:

Let be a random polynomial such that ( ) is a sequence of mutually independent normally distributed random variables with mean zero and variance one; ( ) be a sequence of normalized Jacobi polynomials , orthogonal with respect to the interval (-1,1). It is proved that the average number of points of inflection of the random equation y=0 is asymptotic to .

KEYWORDS: Expected Number of Real zeros, Kac-Rice Formula, Normal Density, Jacobi Polynomial


Let be a random polynomial such that ( ) is a sequence of mutually independent normally distributed random variables with mean zero and variance one; ( ) be a sequence of normalized...

On mixed trilateral generating relations for biorthogonal polynomials suggested by the Laguerre polynomials

K.P. SAMANTA1 and B. SAMANTA2
1Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah-711103, W.B. (INDIA)
2Department of Mathematics, Shibpur D.B. Institution(College), 412/1, G.T. Road, Howrah -711102, W.B. (INDIA)
E-mail: kalipadasamanta2010@gmail.com (correspoding author) E-mail: bijoysamanta@yahoo.com

ABSTRACT:

In this note, we have obtained some novel results on mixed trilateral generating relations involving the polynomials, Yn+r x k a-nk ( ; ) a modified form ofKonhauser biorthogonal polynomials, Yna (x;k) by group theoretic method. As special cases, we have obtained the corresponding results on generalized Laguerre polynomials. Some applications of our results are also discussed.

KEYWORDS: Laguerre polynomials, biorthogonal polynomials, mixed trilateral generating functions. AMS-2010 Subject Classification Code: 33C 45, 33C 47.


In this note, we have obtained some novel results on mixed trilateral generating relations involving the polynomials, Yn+r x k a-nk ( ; ) a modified form ofKonhauser biorthogonal polynomials, Yna (x;k)...