ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 7 2 2012 11 1 The Common Neighborhood Graph and Its Energy 1 8 EN Anwar Alwardi Branko Arsic Ivan Gutman Nandappa D. Soner 10.7508/ijmsi.2012.02.001 Let \$G\$ be a simple graph with vertex set \${v_1,v_2,ldots,v_n}\$. The common neighborhood graph (congraph) of \$G\$, denoted by \$con(G)\$, is the graph with vertex set \${v_1,v_2,ldots,v_n}\$, in which two vertices are adjacent if and only they have at least one common neighbor in the graph \$G\$. The basic properties of \$con(G)\$ and of its energy are established. Common neighborhood graph, Congraph, Spectrum (of graph), Energy (of graph). http://ijmsi.ir/article-1-349-en.html http://ijmsi.ir/article-1-349-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 7 2 2012 11 1 Uniform Boundedness Principle for operators on hypervector spaces 9 16 EN Ali Taghavi Roja Hosseinzadeh 10.7508/ijmsi.2012.02.002 The aim of this paper is to prove the Uniform Boundedness Principle and Banach-Steinhaus Theorem for anti linear operators and hence strong linear operators on Banach hypervector spaces. Also we prove the continuity of the product operation in such spaces. hypervector space, normed hypervector space, operator. http://ijmsi.ir/article-1-350-en.html http://ijmsi.ir/article-1-350-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 7 2 2012 11 1 Canonical (m,n)−ary hypermodules over Krasner (m,n)−ary hyperrings 17 34 EN S. M. Anvariyeh S. Mirvakili 10.7508/ijmsi.2012.02.003 The aim of this research work is to define and characterize a new class of n-ary multialgebra that may be called canonical (m, n);minus hypermodules. These are a generalization of canonical n-ary hypergroups, that is a generalization of hypermodules in the sense of canonical and a subclasses of (m, n);minusary hypermodules. In addition, three isomorphism theorems of module theory and canonical hypermodule theory are derived in the context of canonical (m, n)-hypermodules. Canonicalm-ary hypergroup, Krasner (m, n)-hyperring, (m, n)−ary hypermodules. http://ijmsi.ir/article-1-351-en.html http://ijmsi.ir/article-1-351-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 7 2 2012 11 1 Effects of Slip and Heat Transfer on MHD Peristaltic Flow in An Inclined Asymmetric Channel 35 52 EN Kalidas Das 10.7508/ijmsi.2012.02.004 Peristaltic transport of an incompressible electrically conducting viscous fluid in an inclined planar asymmetric channel is studied. The asymmetry is produced by choosing the peristaltic wave train on the walls to have different amplitude and phase. The closed form solutions of momentum and energy equation in presence of viscous dissipation term are obtained for long wave length and low Reynolds number approximations. The effects of different parameters entering into the problem are discussed numerically and explained graphically. Peristalsis, Froude number, Brinkman number, Heat transfer coefficient. http://ijmsi.ir/article-1-352-en.html http://ijmsi.ir/article-1-352-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 7 2 2012 11 1 z-weak ideals and prime weak ideals 53 62 EN Ali Akbar Estaji 10.7508/ijmsi.2012.02.005 In this paper, we study a generalization of z-ideals in the ring C(X) of continuous real valued functions on a completely regular Hausdorff space X. The notion of a weak ideal and naturally a weak z-ideal and a prime weak ideal are introduced and it turns out that they behave such as z-ideals in C(X). Absolutely convex weak ideal, Completely regular space, Convex weak ideal, F-space, Prime weak ideal, P-space, semigroup, z-weak ideal. http://ijmsi.ir/article-1-354-en.html http://ijmsi.ir/article-1-354-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 7 2 2012 11 1 The differential transform method for solving the model describing biological species living together 63 74 EN A. Tari 10.7508/ijmsi.2012.02.006 F. Shakeri and M. Dehghan in  presented the variational iteration method for solving the model describing biological species living together. Here we suggest the differential transform (DT) method for finding the numerical solution of this problem. To this end, we give some preliminary results of the DT and by proving some theorems, we show that the DT method can be easily applied to mentioned problem. Finally several test problems are solved and compared with variational iteration method. Biological species living together, Differential transform method, Volterra integro-differential equations, Variational iteration method. http://ijmsi.ir/article-1-355-en.html http://ijmsi.ir/article-1-355-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 7 2 2012 11 1 Omega Polynomial in Polybenzene Multi Tori 75 82 EN Mircea V. Diudea Beata Szefler 10.7508/ijmsi.2012.02.007 The polybenzene units BTX 48, X=A (armchair) and X=Z (zig-zag) dimerize forming “eclipsed” isomers, the oligomers of which form structures of five-fold symmetry, called multi-tori. Multi-tori can be designed by appropriate map operations. The genus of multi-tori was calculated from the number of tetrapodal units they consist. A description, in terms of Omega polynomial, of the two linearly periodic BTX-networks was also presented. Polybenzene, Multi torus, Genus of structure, Linear periodic network, Omega polynomial. http://ijmsi.ir/article-1-356-en.html http://ijmsi.ir/article-1-356-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 7 2 2012 11 1 WEAKLY g(x)-CLEAN RINGS 83 91 EN Nahid Ashrafi Zahra Ahmadi 10.7508/ijmsi.2012.02.008 A ring \$R\$ with identity is called ``clean'' if \$~\$for every element \$ain R\$, there exist an idempotent \$e\$ and a unit \$u\$ in \$R\$ such that \$a=u+e\$. Let \$C(R)\$ denote the center of a ring \$R\$ and \$g(x)\$ be a polynomial in \$C(R)[x]\$. An element \$rin R\$ is called ``g(x)-clean'' if \$r=u+s\$ where \$g(s)=0\$ and \$u\$ is a unit of \$R\$ and, \$R\$ is \$g(x)\$-clean if every element is \$g(x)\$-clean. In this paper we define a ring to be weakly \$g(x)\$-clean if each element of \$R\$ can be written as either the sum or difference of a unit and a root of \$g(x)\$. Clean ring, g(x)-clean ring, Weakly g(x)-clean ring. http://ijmsi.ir/article-1-353-en.html http://ijmsi.ir/article-1-353-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 7 2 2012 11 1 The best uniform polynomial approximation of two classes of rational functions 93 102 EN M. R. Eslahchi Sanaz Amani 10.7508/ijmsi.2012.02.009 In this paper we obtain the explicit form of the best uniform polynomial approximations out of Pn of two classes of rational functions using properties of Chebyshev polynomials. In this way we present some new theorems and lemmas. Some examples will be given to support the results. Best polynomial approximation, Alternating set, Shifted Chebyshev polynomials, Uniform norm. http://ijmsi.ir/article-1-357-en.html http://ijmsi.ir/article-1-357-en.pdf