Publisher: Journal of Global Research in Mathematical Archives (Total: 1 journals) [Sort by number of followers]

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Journal of Global Research in Mathematical Archives
Number of Followers: 0 Open Access journal ISSN (Print) 23205822 Published by Journal of Global Research in Mathematical Archives [1 journal] 
 RESTRAINED SECURE DOMINATION IN THE JOIN AND CORONA OF GRAPHS
Authors: Enrico Limbo Enriquez
Pages: 01  06
Abstract: Let be a connected simple graph. A restrained dominating set of a graph , is a restrained secure dominating set of if for each , there exists such that and the set is a dominating set of . The minimum cardinality of a restrained secure dominating set of , denoted by is called the restrained secure domination number of . A restrained secure dominating set of cardinality is called a  of . In this paper, we show that every integer and with is realizable as restrained secure domination number and order of respectively. Further, we characterize the restrained secure dominating sets in the join and corona of two graphs and give some important results.
PubDate: 20180520
Issue No: Vol. 5, No. 5 (2018)
 GEOMETRIC ARITHMETIC TEMPERATURE INDEX OF CERTAIN NANOSTRUCTURES
Authors: Dickson Selvan, Kishori P Narayankar
Pages: 07  13
Abstract: In the study of topological indices such as Zagreb index, geometric arithmetic index, atombond connectivity index are exploited to estimate the bioactivity of chemical compounds. Inspired by many degree based topological indices, we propose here a new topological index, called the geometric arithmetic temperature index of a molecular graph , which shows good correlation with entropy, acentric factor, enthalpy of vaporization and standard enthalpy of vaporization of an octane isomers. In this paper we compute the geometric arithmetic temperature index of line graphs of subdivision graphs of 2Dlattice, nanotube and nanotorus of TUC_4C_8[p,q].
PubDate: 20180520
Issue No: Vol. 5, No. 5 (2018)
 Approximate ML Estimation in Type I Generalized Logistic Distribution
under TypeII Censoring
Authors: Vasudeva Rao Ananthasetty
Pages: 14  24
Abstract: In twoparameter TypeI generalized logistic distribution (GLD), even in complete samples, the ML equations of scale and shape parameters are to be solved numerically using an iterative technique such as NewtonRaphson method. Assuming shape parameter is known, based on a TypeII censored sample, Vasudeva Rao et al. (2017) derived a linear estimator for scale parameter by making linear approximations to the nonlinear terms appearing in the ML equation of scale parameter. They call this new linear estimator as linear approximate MLE (LAMLE). But, in all practical situations, we may not assume shape parameter is known. Therefore, in this paper, we suggest an iterative procedure to solve the LAMLE of scale parameter and the ML equation of shape parameter jointly to yield some new estimates called as approximate MLEs (AMLEs). Based on a MonteCarlo simulation study, we compare the AMLEs with the corresponding MLEs and found that the AMLEs are almost as efficient as MLEs. However, we restricted our simulation study only for the case of complete sample and left censored samples, because of the nonconvergence of the MLEs in case of right and doubly censored samples. Finally, we demonstrate the computation of AMLEs and their comparison with MLEs by means of two real data sets.
PubDate: 20180520
Issue No: Vol. 5, No. 5 (2018)
 Quarantine And Antidotal e  Epidemiological Model For Viruses In Computer
Network
Authors: Kaveri Kanchan Kumari
Pages: 25  32
Abstract: An eepidemic SIQRAS (Susceptible, Infectious, Quarantined, Recovered, Antidotal, Susceptible) model for the transmission of malicious objects in computer network has been developed and its various parametric characteristics are analyzed. Malicious objects, free equilibrium point and endemic equilibrium points are discussed by Jacobian Matrix. Stability of the system has been shown by using RouthHurwitz. MATLAB are employed to solve and simulate the system of differential equations.
PubDate: 20180520
Issue No: Vol. 5, No. 5 (2018)
 ON A NEW SUBCLASS OF ANALYTIC FUNCTIONS DEFINED BY USING GENERALIZED
ALOBOUDI DIFFERENTIAL OPERATOR
Authors: Dr.M. Thirucheran
Pages: 33  40
Abstract: The main object of this paper is investigating a new subclass of normalized analytic function in the open unit disk U which is defined by AlOboudi Differential Operator. We obtain the coefficient inequality and extreme points for this class are given.Keywords: Univalent functions, differential operators, generalized Salagean differential operator, generalized AlOboudi differential operator.
PubDate: 20180520
Issue No: Vol. 5, No. 5 (2018)
 ONSET OF CONVECTION IN AN ANISOTROPIC VISCOELASTIC FLUID SATURATED POROUS
MEDIUM USING THERMAL NON EQUILIBRIUM MODEL
Authors: N. K. Enagi
Pages: 41  53
Abstract: The Onset of Convection in an Anisotropic Viscoelastic fluid saturated porous medium using thermal non equilibrium model is studied. A Darcy model is used for momentum equation and a two field model is used for energy equation. The effect of conductivity ratio, anisotropic parameters on the critical Rayleigh number and the critical wave number is analyzed it is found that the conductivity ratio, fluid phase anisotropic parameter makes the system more stable, Key Words: Convection, Viscoelastisity, thermal nonequilibrium.
PubDate: 20180520
Issue No: Vol. 5, No. 5 (2018)
 A SPECIAL CASE OF NEAR – IDEMPOTENT SEMIGROUPS
Authors: T.N. Kavitha
Pages: 54  59
Abstract: In a previous paper we introduced a near idempotent semigroup and studied its structure through the relations λ, ρ and δ. In this paper, we introduce a new pair of relations λr and ρr on a near idempotent semigroup. In general λr and ρr are not reflexive relations on a near idempotent semigroup and hence not equivalence relations. We study the special case when λr becomes reflexive on a near idempotent semigroup. This gives rise to a special case of a near idempotent semigroup, namely, a right near idempotent semigroup.Key words: Near idempotent semigroup, right near idempotent semigroup, reflexive relations, and equivalence relations
PubDate: 20180520
Issue No: Vol. 5, No. 5 (2018)
 GENERAL MULTIPLICATIVE veDEGREE INDICES OF DOMINATING OXIDE AND REGULAR
TRIANGULATE OXIDE NETWORKS
Authors: V.R. Kulli
Pages: 60  64
Abstract: Recently, the vedegree concept is defined in Graph Theory. In this paper, we propose the general first and second multiplicative vedegree indices and the first and second multiplicative hypervedegree indices of a molecular graph. Furthermore we compute the multiplicative vedegree indices, the multiplicative hypervedegree indices and general first and second multiplicative vedegree indices for dominating oxide and regular triangulate oxide networks.Keywords: multiplicative vedegree indices, multiplicative hypervedegree indices, dominating oxide network, regular triangulate oxide network.Mathematics Subject Classification: 05C05, 05C07, 05C90.
PubDate: 20180520
Issue No: Vol. 5, No. 5 (2018)
 Characterizations of Hexagonal Recognizable picture series
Authors: Jaya Abraham Jose
Pages: 65  71
Abstract: In this paper, we investigate power series on Hexagonal pictures. These are functions that map hexagonal pictures to elements of a semi ring. We assign weights to hexagonal picture automata. We will prove the equivalence of the families of projections of rational series and series recognized by weighted hexapolic picture automata (WHPA).
PubDate: 20180523
Issue No: Vol. 5, No. 5 (2018)
 Cryptanalysis of RSA with Small Multiplicative Inverse of (p  1) or (q 
1) Modulo e
Authors: ANURADHA KAMESWARI PRATHA
Pages: 72  81
Abstract: In this paper, we mount an attack on RSA by using lattice based techniques implemented in the case when $p1$ or $q1$ have small multiplicative inverse less than or equal to $N^\delta$ modulo the public encryption exponent $e$, for some small $\delta$ and described the attack bounds for $\delta.$
PubDate: 20180523
Issue No: Vol. 5, No. 5 (2018)