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Category: Volume 31

The inverse bondage number of a graph

YOGEESHA K M
Department of Mathematics, Government first Grade College, Davangere-577004, Karnataka (India)
N.D SONER
Department of Mathematics, Manasagangothri, Mysore-570006, Karnataka (India)

ABSTRACT:

The inverse bondage number b-1(G) of a graph G to be the cardinality of a smallest set E’ E of edges for which -1(G–E’)>-1(G). Thus, the inverse bondage number of G is the smallest number of edges whose removal will render every minimum inverse dominating set in G a “non inverse dominating set” set in the resultant spanning sub graph.

KEYWORDS: Domination numbers, Inverse domination numbers, Bondage number, 2000 mathematics subject classification:-05c69,05c70


The inverse bondage number b-1(G) of a graph G to be the cardinality of a smallest set E’ E of edges for which -1(G–E’)>-1(G). Thus, the inverse bondage number of G...

Study of Cubic B Spline Interpolation

NAJMUDDIN AHMAD
Department of Mathematics, Integral University, Kursi Road, Lucknow (India)
KHAN FARAH DEEBA
Department of Mathematics, Integral University, Kursi Road, Lucknow (India)

ABSTRACT:

In this study, we discuss the numerical solution of the wave equation subject to non-local conservation condition, using cubic trigonometric B-spline collocation method (CuTBSM). Consider a vibrating elastic string of length L which is located on the x-axis of the interval [0, L].
It is also clear from the examples that the approximate solution is very close to the exact solution. The technique requires smaller computational time than several other methods and the numerical results are found to be in good agreement with known solutions and with existing schemes in the literature.

KEYWORDS: Cubic trigonometric B Spline Interpolation, collocation method, non-Newtonian fluid, nonclassical diffusion equation, Subject Classification: 65D,65L,65M


In this study, we discuss the numerical solution of the wave equation subject to non-local conservation condition, using cubic trigonometric B-spline collocation method (CuTBSM). Consider a vibrating elastic string...

Existence of Smooth Epimorphism from a Fuchsian Group to the point Group of Sulfur-Hexafloride

OLOYA BHUYAN
Department of Mathematics, DCB Girlsu2019 College, Jorhat-ASSAM (India)
CHANDRA CHUTIA
Department of Mathematics, Jorhat Institute of Science & Technology, Jorhat-ASSAM (India)

ABSTRACT:

The theory of Fuchsian group plays an important role in the study of compact Riemann surfaces Automorphism groups, which was initially studied by A.M. Macbeth. The biholomorphic self transformations of a compact Riemann surface S of genus g (\small \geq2) forms a finite group whose order cannot exceed 84 (g -1). This maximum bound is attained for infinitely many values of g , the least being 3. The groups for which this bound is attained are called Hurwitz groups, and this groups belong to the class of perfect groups which are non soluble. In context to the class of soluble groups, the corresponding bound is 48 (g -1) and this bound is also attained for infinitely many values of g . The problem of finding such bounds for various sub-classes of the finite soluble groups and the number of values of g for which these bounds are attained has been the theme of many research papers during the last few decades.

In this paper, a set of necessary and sufficient conditions for the existence of smooth epimorphism from a Fuchsian group to the point group Oh, which belongs to the sub-class of octahedral group considering the symmetries of Sulfur-Hexafloride ( S F6 ) molecule Having the abstract group representation \small \left \langle \alpha2=\beta 4=(\alpha \beta) 2=1\rangle \right \rangle is established to fulfill the objective.

KEYWORDS: Compact Riemann Surface, Fuchsian group, Molecular Symmetries, Smooth Epimorphism, 1991 Mathematics Subject Classification: 20H10, 30F10


The theory of Fuchsian group plays an important role in the study of compact Riemann surfaces Automorphism groups, which was initially studied by A.M. Macbeth. The biholomorphic self transformations...

Ricci Solitons On Quasi-Sasakian Manifold

SUSHIL SHUKLA
Department of Applied Science (Mathematics) Madan Mohan Malviya University of Technology, Gorakhpur India
SHIKHA TIWARI
Department of Applied Science (Mathematics) Madan Mohan Malviya University of Technology, Gorakhpur

ABSTRACT:

The object of present paper is to study a special type of metric called *-Ricci soliton on Quasi- Sasakian manifold.

KEYWORDS: Ricci soliton, Quasi-Sasakian manifold, Einstein manifold, Ams Subject Classification (2010):53C15,53C25


The object of present paper is to study a special type of metric called *-Ricci soliton on Quasi- Sasakian manifold.

Study of Kaprekar Numbers and Constants

M.N. MURTY
Retired Reader in Physics, Flat No.503, 54-11-3/14, SR Elegance, Gazetted officers colony, Isukhathota, Visakhapatnam-530022, Andhra Pradesh (India)
B. JOGA RAO
Assistant Professor in Mathematics, Gayatri Vidya Parishad College for Degree and PG Courses, Visakhapatnam-530017, Andhra Pradesh (India)

ABSTRACT:

In this article, Kaprekar numbers and constants in recreational number theory are discussed. By extending the definition of Kaprekar numbers to binary numbers, the Kaprekar numbers can be expressed in binary form.

KEYWORDS: Kaprekar number, Kaprekar routine, Kaprekar constant, Binary numbers


In this article, Kaprekar numbers and constants in recreational number theory are discussed. By extending the definition of Kaprekar numbers to binary numbers, the Kaprekar numbers can be expressed...

A study of Fibonacci & Lucas Vectors

AMITAVA SARASWATI
Department of Mathematics St. Paulu2019s School, Indore (India)

ABSTRACT:

An attempt has been made to put forth certain properties of Lucas and Fibonacci vectors and establish a relationship between the vectors using a special matrix. Cross products between Fibonacci and Lucas vectors have been investigated.

Also, it was observed that, there exists a homeomorphism between the Fibonacci plane and any plane parallel to it.

KEYWORDS: Fibonacci and Lucas numbers, position vectors, vector product, Mathematics Subject Classification (2000) : 11B39


An attempt has been made to put forth certain properties of Lucas and Fibonacci vectors and establish a relationship between the vectors using a special matrix. Cross products between...

An Orthogonal Stabilization of Quadratic and Generalized Quadratic Functional Equations

KIRAN YADAV
Department of Mathematics, Singhania University, Pacheri Bari, Jhunjhunu (Rajasthan), (India)
A. K. MALIK
Department of Mathematics B. K. Birla Institute of Engineering & Technology, Pilani (Rajasthan), (India)

ABSTRACT:

This study is devoted to the stabilization of following quadratic and modified quadratic functional equations in orthogonal space

h (3x pm y) = 16h(x) + h(x pm y) ,

and

h(x + ay) + h(x-ay) = 2a2 h(y) + 2h(x).

KEYWORDS: Orthogonal spaces, Quadratic , Modified functional equations


This study is devoted to the stabilization of following quadratic and modified quadratic functional equations in orthogonal space h (3x pm y) = 16h(x) + h(x pm y) ,...

Unsteady MHD free convective flow through a porous medium over an infinite vertical plate

L. RAJENDRA PRASAD
Research Scholar, Department of Mathematics, Rayalaseema University, Kurnool, Andhra Pradesh, India 518007.
G. VISWANATHA REDDY
Professor, Department of Mathematics, Sri Venkateswara University, Tirupathi, Andhra Pradesh, India 517502

ABSTRACT:

In this paper we have considered the unsteady free convective flow of a viscous incompressible electrically conducting fluid over an infinite vertical porous plate under the influence of uniform transverse magnetic field with time dependent permeability and oscillatory suction. The governing equations of the flow field are solved by a regular perturbation method for small amplitude of the permeability. The closed form solutions for the velocity, temperature and concentration have been derived analytically and also its behaviour is computationally discussed with reference to different flow parameters with the help of profiles. The skin fiction on the boundary, the heat flux in terms of the Nusselt number and rate of mass transfer in terms of Sherwood number are also obtained and their behaviour computationally discussed.

KEYWORDS: Heat transfer, mass transfer, oscillatory suction, 35Q79, 80A20, 76S05, 76E06, 76R10


In this paper we have considered the unsteady free convective flow of a viscous incompressible electrically conducting fluid over an infinite vertical porous plate under the influence of uniform...

Preserving Neutrosophic Feebly Closed Sets

K. BAGEERATHI
Department of Mathematics, Aditanar College of Arts and Science, Tiruchendur – 628216 (India)
P. JEYA PUVANESWARI
Department of Mathematics, Vivekananda College, Agasteeswaram u2013 629701 (India)

ABSTRACT:

In this article, the concept of neutrosophic feebly homeomorphism in neutrosophic topological spaces is introduced. Further, the work is extended as almost neutrosophic feebly totally open mappings, almost neutrosophic feebly totally continuous functions, super neutrosophic feebly clopen continuous functions in neutrosophic topological spaces and establishes some of their related attributes.

KEYWORDS: neutrosophic feebly homeomorphism, neutrosophic topological space, AMS Subject Classification: 03E72, 06D72


In this article, the concept of neutrosophic feebly homeomorphism in neutrosophic topological spaces is introduced. Further, the work is extended as almost neutrosophic feebly totally open mappings, almost neutrosophic...

Hall current effects on MHD free convection nanofluid over an inclined hot plate with viscous dissipation

D. HYMAVATH
Assistant Professor Department of Mathematics Mahatma Gandhi University Nalgonda, Telangana State (India)
S. JAGADHA
Department of Mathematics Institute of Aeronautical Engineering Dundigal, Hyderabad Telangana State (India)
N. KISHAN
Department of Mathematics Osmania University Hyderabad, Telangana State (India) Corresponding Author E-mail: dyapahyma@yahoo.com

ABSTRACT:

Numerical study is conducted to investigate the heat and mass transfer of MHD free convection of nanofluid with viscous dissipation and Hall current effects. The numerical method is utilized to study the effects of Hall parameter, viscous dissipation with consideration of free convection. The governed partial differential equations have been reduced to ordinary differential equations. The reduced ordinary differential equations have been numerically solved by Keller Box method. Influence of different involved dimensionless flow parameters on dimensionless velocity, micropolar, temperature and nano particle volume fraction profiles are examined. With an increasing of Brownian motion parameter and thermophoresis parameter the temperature profile is increasing and the nano particle volume fraction profile is decreasing. With the increase of Hall current parameter the velocity and temperature are increasing but the micropolar fluid motion and nano particle volume fraction profiles are decreasing

KEYWORDS: Hall current, nanofluid, Keller Box method and MHD, inclined hot plate


Numerical study is conducted to investigate the heat and mass transfer of MHD free convection of nanofluid with viscous dissipation and Hall current effects. The numerical method is utilized...