Category: Issue 6

Issue 6, Volume 28

Equalityof Secure Domination and Inverse Secure Domination Numbers

V.R. KULLI
Department of Mathematics, Gulbarga University, Gulbarga, 585106, (INDIA)

Email of Corresponding author :- E-mail: vrkulli@gmail.com

ABSTRACT:

Let G = (V, E) be a graph. Let D be a minimum secure dominating set of G. If V – D contains a secure total dominating set D’ of G, then D’ is called an inverse secure dominating set with respect to D. The smallest cardinality of inverse secure dominating set of G is the secure domination number s -1(G) of G. In this paper, we obtain some graphs for which s(G) = s -1(G) and establish some results on this respect. Also we obtain some graphs for which s(G) =s -1(G) = 2 . p where p is the number of vertices of G.

KEYWORDS: dominating set, secure dominating set, inverse secure dominating set, inverse secure domination number.. Mathematics Subject Classification: 05C69, 05C78


Let G = (V, E) be a graph. Let D be a minimum secure dominating set of G. If V – D contains a secure total dominating set D’...

Issue 6, Volume 28

The Distribution of the Sum of Mixed Independent Random Variables Involving Generalized H-Functions of two Variables

SRESHTA DHIMAN
Department of Mathematics Govt. Science College, Rewa M P India

Email of Corresponding Author: – sdhimanjee@gmail.com

ABSTRACT:

The aim of this section is to obtain the distribution of mixed sum of two independent random variables with different probability density functions. One with probability density function defined in finite range and the other with probability density function defined in infinite range and associated with product of general class of polynomials and generalized H–function of two variables. The method used is based on Laplace transform and it’s inverse. The result obtained here is quite general in nature and is capable of yielding a large number of corresponding new and known results merely by specializing the parameters involved therein. To illustrate, some special cases of our main result are also given

KEYWORDS: H-Function, Laplace transform, random variables


The aim of this section is to obtain the distribution of mixed sum of two independent random variables with different probability density functions. One with probability density function defined...

Issue 6, Volume 28

A Vacation Model MX /G/1: (E, MV) with General Service Bulk Queue

SANDEEP DIXIT
Department of Mathematics, V.S.S.D. College, Kanpur (U.P.) India

Email of Corresponding Author: – sd0408@rediffmail.com

ABSTRACT:

In this paper we discuss the batch arrival vacation model appear in many situations such as computer communication systems. The common method of studying the batch arrival queueing system with vacations is by using supplementary variables.

KEYWORDS: General Service, Multiple Vacation, Bulk Queue


In this paper we discuss the batch arrival vacation model appear in many situations such as computer communication systems. The common method of studying the batch arrival queueing system...

Issue 6, Volume 28

Neutrosophic Optimization Technique and its Application on Structural Design

MRIDULA SARKAR1* and TAPAN KUMAR ROY2
1,2Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur. P.O.-Botanic Garden, Howrah-711103, West Bengal, India.

Email of corresponding author*- mridula.sarkar86@yahoo.com

ABSTRACT:

In this paper, we develop a neutrosophic optimization (NSO) approach for optimizing the design of plane truss structure with single objective subject to a specified set of constraints. In this optimum design formulation, weight of truss and deflection of loaded joint are the objective functions. The design variables and constraints are the cross-sectional areas and the stresses in members respectively. A classical truss optimization example is presented herein to demonstrate the efficiency of the neutrosophic optimization approach. The test problem includes a two-bar planar truss subjected to a single load condition. This single-objective structural optimization model is solved by fuzzy as well as neutrosophic optimization approach. Numerical example is given to illustrate our NSO approach. The result shows that the NSO technique plays a significant role in finding the best ever optimal solutions.

KEYWORDS: Neutrosophic Set, Single Valued Neutrosophic Set, Neutrosophic Optimization, Single- Objective Structural optimization


In this paper, we develop a neutrosophic optimization (NSO) approach for optimizing the design of plane truss structure with single objective subject to a specified set of constraints. In...

Issue 6, Volume 28

k-Symmetric Circulant, s-Symmetric Circulant and s–k Symmetric Circulant Matrices

K. RAJESH KANNAN and N. ELUMALAI*
1Assistant Professor, Department of Mathematics, Annai College of Engineering and Technology, Kovilacheri, Tamil Nadu
2Associate Professor, Department of Mathematics, A.V.C. College (Autonomous), Mannampandal, Tamil Nadu

Email of corresponding author- rakkirajesh1986@gmail.com

ABSTRACT:

The basic concepts and theorems of k-symmetric Circulant, s-symmetric Circulant and s-k-symmetric Circulant matrices are introduced with examples

KEYWORDS: k-symmetric Circulant matrix, s-symmetric Circulant matrix and s-k-symmetric Circulant matrix. AMS CLASSIFICATIONS: 15B05, 15A09


The basic concepts and theorems of k-symmetric Circulant, s-symmetric Circulant and s-k-symmetric Circulant matrices are introduced with examples