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Category: Issue 2

Edge and vertex intersection of paths in a graph

S. SOMASUNDARAM
Department of Mathematics, Manomaniam Sundaranar University, Tirunelveli – 627 012 (INDIA)
A. NAGARAJAN nagarjuan.voc@gmail.comm
Department of Mathematics, V.O. Chidambram College, Tuticorin – 628 008 (INDIA)
G. MAHADEVAN (gmaha2003@yahoo.co.in
Department of Mathematics, Gandhigram Rural University, Gandhigram – 624 302 (INDIA)

ABSTRACT:

In this paper we investigate some parameters µ0, µ1(µ0′, µ1′) for vertex (edge) intersection of paths in a graph G. µ0(G) (µ1(G)) is the minimum number of vertices (edges) of all graphs H such that G is the intersection graph of some path cover of a graph H. µ0′, µ1′ are define analogously for edge intersection graph

KEYWORDS: Edge , vertex intersection, paths in a graph


In this paper we investigate some parameters µ0, µ1(µ0‘, µ1‘) for vertex (edge) intersection of paths in a graph G. µ0(G) (µ1(G)) is the minimum number of vertices (edges)...

Heat and mass transfer effects on MHD free convection flow of dissipative fluid past an infinite vertical porous isothermal plate

K. CHENNA KESAVULU (kondari_chennakesavulu@yahoo.co.in
Research Scholar, Department of Mathematics SV University, Tirupati (INDIA)
A.S. NAGARAJAN (nagarjan_as@rediff.com
Department of Mathematics, NBKRIST,, Vidyanagar- 524413 Nellore (Dt.) Andhra Pradesh (INDIA)
S. RAMAKRISHNA (drsramakrishana@yahoo.com
Department of Mathematics, SV University, Tirupati, A.P. (INDIA)

ABSTRACT:

A numerical study is performed to analyze the effect of mass transfer on unsteady MHD free convection flow of dissipative fluid past an infinite vertical porous isothermal plate taking into account viscous dissipative heat under the influence of transverse magnetic field. The governing equations are solved numerically by applying finite difference method. The velocity, the temperature and the concentration are studied for different parameters like magnetic field parameter M, suction parameter g, Schmidt number Sc, Eckert number E, Grashof number Gr and modified Grashof number Gm. The numerical results are presented graphically for different parameters. The numerical values of Skin-frictions are presented in tabular form.

KEYWORDS: Transient MHD free convection flow, Dissipative fluid, infinite vertical Porous isothermal plate, Non-linear Systems.


A numerical study is performed to analyze the effect of mass transfer on unsteady MHD free convection flow of dissipative fluid past an infinite vertical porous isothermal plate taking...

Influence of gravity in a rotating generalized thermoelastic medium with two temperature subjected to ramp type heating and loading

Praveen Ailawalia (praveen_2117@rediffmail.com)
Department of Mathematics, M.M. Engineering College, Maharishi Markandeswar University, Mullana, District Ambala, Haryana (INDIA)
Sunit Kumar
Department of Mathematics, M.M. Engineering College, Maharishi Markandeswar University, Mullana, District Ambala, Haryana (INDIA)
Devinder Pathania (despathania@yahoo.com.)
Department of Mathematics, Guru Nanak Dev Engineering college, Ludhiana, Punjab (INDIA)

ABSTRACT:

In the present problem we study the deformation of a rotating generalized thermoelastic medium with two temperature under the influence of gravity subjected to ramp type heating and loading. The components of displacement, force stress, conductive temperature and temperature distribution are obtained in Laplace and Fourier domain by applying integral transforms. These components are then obtained in the physical domain by applying a numerical inversion method. Some particular cases are also discussed in context of the problem. The results are also presented graphically to show the effect of rotation and gravity.

KEYWORDS: Rotation, gravity, ramp type heating, Generalized thermoelasticity, Laplace and Fourier transforms, conductive temperature, temperature distribution.


In the present problem we study the deformation of a rotating generalized thermoelastic medium with two temperature under the influence of gravity subjected to ramp type heating and loading....

Radiation and mass transfer effects on unsteady mhd free natural convection flow past an inclined surface-A numerical study

A study is performed to analyze the radiation effects on MHD unsteady natural free convection flow past an inclined surface with variable surface temperature in the presence of transversal uniform magnetic field. The governing equations are transformed into a linear algebraic system and the solution is obtained by employing implicit finite-difference scheme of Crank-Nicolson type. A parametric study is performed to illustrate the influence of radiation parameter, magnetic parameter, Prandtl number and Schmidt number on velocity profile, temperature profile and concentration profiles. The numerical results reveal that the radiation has significant influences on the velocity and temperature profiles. The profiles of the dimensionless velocity, temperature and concentration distributions are shown graphically for various values of the parameters entering into the problem.

ABSTRACT:

A study is performed to analyze the radiation effects on MHD unsteady natural free convection flow past an inclined surface with variable surface temperature in the presence of transversal uniform magnetic field. The governing equations are transformed into a linear algebraic system and the solution is obtained by employing implicit finite-difference scheme of Crank-Nicolson type. A parametric study is performed to illustrate the influence of radiation parameter, magnetic parameter, Prandtl number and Schmidt number on velocity profile, temperature profile and concentration profiles. The numerical results reveal that the radiation has significant influences on the velocity and temperature profiles. The profiles of the dimensionless velocity, temperature and concentration distributions are shown graphically for various values of the parameters entering into the problem.

KEYWORDS: MHD, Radiation, Heat and Mass transfer,, Inclined surface, Natural convection.


A study is performed to analyze the radiation effects on MHD unsteady natural free convection flow past an inclined surface with variable surface temperature in the presence of transversal...

On randomly Kn-packable graphs

S. SOMASUNDARAM
Department of Mathematics, Manomaniam Sunderanar University, Tiirunelveli- 627 012 (INDIA)
A. Nagarhan (nagarjan.voc@gmail.com)
Department of Mathematics, V.O. Chidambaram College, Tuticorin – 628 008 (INDIA)
G. MAHADEVAN (gmaha2003@yahoo.com)
Department of Mathematics, Gandhigram Rural University, Gandhigram – 623 304 (INDIA)

ABSTRACT:

A graph G is said to be packable by the graph F if its edges can be partitioned into copies of F. It is randomly packable if what remains of deletion of edges of a proper subgraph that is F packable is also F-packable. In this paper we investigate the properties of W (Y) where Y is a unique Kn – packing of a graph.

KEYWORDS: On randomly , Kn-packable , graphs


A graph G is said to be packable by the graph F if its edges can be partitioned into copies of F. It is randomly packable if what remains...

Some fixed point theorems for asymptotically regular maps in Hilbert space

Neeraj Malviya
Department of Mathematics, R.K.D.F., Institute of Science and Technology, Bhopal (M.P.) INDIA
Devkrishana Magarde
Department of Mathematics, R.K.D.F., Institute of Science and Technology, Bhopal (M.P.) INDIA
Pankaj Kumar Jhade
Department of Mathematics, R.K.D.F., Institute of Science and Technology, Bhopal (M.P.) INDIA

ABSTRACT:

The aim of this paper is to prove fixed-point theorems for asymptotically T-regular sequences and asymptotically regular maps using parallelogram law in Hilbert space, which give proper generalization of recent results due to Engle Browder and Petryshyn, Hardy and Rogers.

KEYWORDS: asymptotically T- regular sequence, asymptotically regular map, Hilbert Space, Fixed point.


The aim of this paper is to prove fixed-point theorems for asymptotically T-regular sequences and asymptotically regular maps using parallelogram law in Hilbert space, which give proper generalization of...

A Model for TOPSIS method based on Intuitionistic Fuzzy Sets

Sreeda K.N.
Research Scholar, Vinayaka, Mission University, Salem
R. Sattanathan (sreeda.arun@gmail.com)
Reader & Head Department of Mathematics, D.G. Vaishnav College, Chennai (INDIA)

ABSTRACT:

Multicriteria decision making (MCDM) analysis may involve problems dealing with incomplete information. In such instances, the performance ratings of the criteria may be expressed in terms of Intuitionistic fuzzy values. These intuitionistic fuzzy values may then be utilized along with the traditional Technique for Order Performance by Similarity to Ideal Solution [TOPSIS] method so as to arrive at the decision where incomplete weight information are given. Using this method, the ranking of order of all alternatives are obtained by calculating the distances to both Intuitionistic fuzzy positive ideal solution (IFPIS) and the Intuitionistic fuzzy negative ideal solution (IFNIS) simultaneously. In this paper, we have discussed the use of Intuitionistic fuzzy sets (IFS) in multicriteria decision making (MCDM) analysis and its application to a practical problem in combination with the TOPSIS method.

KEYWORDS: Intuitionistic Fuzzy sets (IFS), Technique for Order Performance by Similarity to Ideal Solution [TOPSIS], Intuitionistic fuzzy positive ideal solution (IFPIS) and the Intuitionistic fuzzy negative ideal solution (IFNIS)


Multicriteria decision making (MCDM) analysis may involve problems dealing with incomplete information. In such instances, the performance ratings of the criteria may be expressed in terms of Intuitionistic fuzzy...

On secondary range Hermitian Matrices

A.R. Meenakshi
Dean of Mathematics and Computer Applications, Karpagam University, Coimbatore, Tamil Nadu (INDIA)
S. Krishnamoorthy
Dean of Mathematics and Computer Applications, Karpagam University, Coimbatore, Tamil Nadu (INDIA)
K. Gunasekaran
Government Arts College, (Autonomous), Kumbakonam – 612 001 Tamil Nadu (INDIA)

ABSTRACT:

The concept of secondary range Hermitian ( s-EP ) matrices is introduced as a generalization of s-Hermitian and EP matrices. Necessary and sufficient conditions are determined for a matrix to be s-EPr( s-EP and rank r ) Equivalent characterizations of a s-EP matrix are discussed. As an application, it is shown that the class of all EP matrices having the same range space form a group under multiplication.

KEYWORDS: Matrix, Hermitian, Secondary hermitian, s-hermitian , Permutation matrix


The concept of secondary range Hermitian ( s-EP ) matrices is introduced as a generalization of s-Hermitian and EP matrices. Necessary and sufficient conditions are determined for a matrix...

Predicting the growth of manpower for the Tamilnadu software industry (India)

E. Susiganeshkumar (susijk@redimmail.com)
Department of Statistics, Annamalai University, Annamalai Nagar- 608002 (INDIA)
R. Elangovan
Department of Statistics, Annamalai University, Annamalai Nagar- 608002 (INDIA)

ABSTRACT:

Manpower is a term which means a group of persons who have acquired some particular skill or expertisation to undertake a particular type of job. There are various milestones one has to cross to adopt a particular skill or background to perform a job. Tamilnadu software industry has undergone a substantial expansion over the past few years. This has necessitated a corresponding increase in output of suitably qualified graduates from the appropriate training institutions. It is therefore desirable to determine the current and projected size of the industry and to establish whether the projected supply of qualified manpower is sufficient to maintain the current rate of growth. In this paper, a detailed survey of a representative sample of these firms is then carried out and used to estimate recruitment, transfer, promotion and leaving rates.

KEYWORDS: Manpower, Recruitment, Promotion, Growth Rate


Manpower is a term which means a group of persons who have acquired some particular skill or expertisation to undertake a particular type of job. There are various milestones...

On fuzzy metric space

Bijendra Singh
School of studies in Mathematics, Vikram University, Ujjain M.P. (INDIA)
R.K. Sharma
Govt. Holkar Science College, Indiore (M.P.) INDIA)
Arihant Jain
School of studies in Mathematics, Vikram University, Ujjain M.P. (INDIA)
Mohit Sharma
School of studies in Mathematics, Vikram University, Ujjain M.P. (INDIA)

ABSTRACT:

The aim of this paper is to prove a common fixed point theorem for six self maps on Fuzzy metric space. Our result generalizes the result of Cho1.

KEYWORDS: Common fixed points, Fuzzy metric space, weak compatible maps, compatible maps.


The aim of this paper is to prove a common fixed point theorem for six self maps on Fuzzy metric space. Our result generalizes the result of Cho1.