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All published articles 1763

Orthogonal Double Covers of Complete Bipartite Graphs by A Special Class of Disjoint Union of Path and A Complete Bipartite Graph

R. El-Shanawany & H. Shabana · Journal of Advances in Mathematics and Computer Science · 2013

Let H be a graph on n vertices and let G be a collection of n subgraphs of H, one for each vertex, G is an orthogonal double cover (ODC) of H if every edge of H is contained in exactly two members of G and any two members share an edge whenever the corresponding vertices are adja...

Open access Research Article 10.9734/BJMCS/2013/3352

Numerical Integration with Exponential Fitting Factor for Singularly Perturbed Two Point Boundary Value Problems

K. Madhu Latha, K. Phaneendra & Y. N. Reddy · Journal of Advances in Mathematics and Computer Science · 2013

In this paper, we discuss the numerical integration with exponential fitting factor for singularly perturbed two-point boundary value problems. It is based on the fact that: the given SPTPBVP is replaced by an asymptotically equivalent delay differential equation. Then, numerical...

Open access Research Article 10.9734/BJMCS/2013/3953

Convergence Theorems on Generalized Strongly Successively Ø-pseudocontractive Mappings in the Intermediate Sense

G. A. Okeke & H. Olaoluwa · Journal of Advances in Mathematics and Computer Science · 2013

We introduce a new class of nonlinear mappings, the class of generalized strongly successively Φ - pseudocontractive mappings in the intermediate sense and prove the convergence of Mann type iterative scheme to their fixed points. Our results improves and generalizes several othe...

Open access Research Article 10.9734/BJMCS/2013/2430

On Cyclic Orthogonal Double Covers of Circulant Graphs using Infinite Graph Classes

M. Higazy · Journal of Advances in Mathematics and Computer Science · 2013

An orthogonal double cover (ODC) of a graph  is a collection  of  subgraphs of  such that every edge of  is contained in exactly two members of  and for any two members  and  in ,  is 1 if  and it is 0 if . An ODC  of  is cyclic (CODC) if the cyclic group of order  is a subgroup...

Open access Research Article 10.9734/BJMCS/2013/4165

On Convergence and Stability of the Generalized Noor Iterations for a General Class of Operators

H. Akewe & J. O. Olaleru · Journal of Advances in Mathematics and Computer Science · 2013

In this paper, we establish some strong convergence and stability results of multistep iterative scheme for a general class of operators introduced by Bosede and Rhoades [5] in a Banach space. As corollaries, some convergence and stability results for the Noor, Ishikawa, Mann and...

Open access Research Article 10.9734/BJMCS/2013/2724

On Mono-correct Modules

Anta Niane GUEYE & Cheikh Thi´ecoumba GUEYE · Journal of Advances in Mathematics and Computer Science · 2013

Let R be a commutative ring. It is well known that any artinian module is co-hopfian and any artinian module is mono-correct, but the converse is not true. Furthermore, commutative rings on which co-hopfian modules are artinian have been characterized. The aim of this work is to...

Open access Research Article 10.9734/BJMCS/2013/3962

Lossless Transmission Lines Terminated by L-Load in Series Connected to Parallel Connected GL-Loads

Vasil G. Angelov · Journal of Advances in Mathematics and Computer Science · 2013

The paper analyses transmission lines terminated by nonlinear loads situated as follows: GC-loads are connected parallel and L-load is connected in series to them (Fig. 1). First, we formulate boundary conditions for a lossless transmission line system on the basis of Kirchhoff’s...

Open access Research Article 10.9734/BJMCS/2013/3622

Oscillation Criteria for the Solutions of Higher Order Functional Dierence Equations of Neutral type

Radhanath Rath, Ajit kumar Bhuyan & B.L.S. Barik · Journal of Advances in Mathematics and Computer Science · 2013

In this paper, necessary and sufficient conditions are obtained so that the neutral functional difference equation $$\Delta^{m}\big(y_n-y_{\tau(n)}\big) + q_nG(y_{\sigma(n)})=f_n,\quad n\geq n_0,$$ admits a positive bounded solution, where $$m \geq 1$$ is an odd integer, $$\Delta...

Open access Research Article 10.9734/BJMCS/2013/3481

A Homotopy Continuation Approach for Testing a Basic Analog Circuit

H. Vazquez-Leal, A. Sarmiento-Reyes, U. Filobello-Nino, Y. Khan, A. L. Herrera-May, R. Castaneda-Sheissa, V. M. Jimenez-Fernandez, M. Vargas-Dorame & J. Sanchez-Orea · Journal of Advances in Mathematics and Computer Science · 2013

The increase of complexity on integrated circuits has also raised the demand for new testing methodologies capable to detect functional failures within circuits before they reach the market. Hence, this work proposes to explore the use of homotopy as a tool for testing a basic an...

Open access Research Article 10.9734/BJMCS/2013/3116

A New Six Dimensional Representation of the Braid Group on Three Strands and its Irreducibility and Unitarizability

Madline A. Al-Tahan & Mohammad N. Abdulrahim · Journal of Advances in Mathematics and Computer Science · 2013

We consider the braid group on three strands, B3and construct a complex valued representation of it with degree 6, namely,  First, we show that this representation is irreducible and not equivalent to either Burau or Krammer’s representations. Second, we prove that the representa...

Open access Research Article 10.9734/BJMCS/2013/3141

Three Solutions for a Navier Boundary Value System Involving the (p(x); q(x))-Biharmonic Operator

Honghui Yin & Zuodong Yang · Journal of Advances in Mathematics and Computer Science · 2013

The existence of at least three weak solutions is established for a class of quasilinear elliptic systems involving the (p(x); q(x))-biharmonic operators with Navier boundary value conditions. The technical approach is mainly based on a three critical points theorem due to Riccer...

Open access Research Article 10.9734/BJMCS/2013/3166