eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2012-11 7 2 1 8 article Anwar Alwardi 1 Branko Arsic 2 Ivan Gutman 3 Nandappa D. Soner 4 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. http://ijmsi.ir/article-1-349-en.pdf Common neighborhood graph Congraph Spectrum (of graph) Energy (of graph). eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2012-11 7 2 9 16 article Ali Taghavi 1 Roja Hosseinzadeh 2 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. http://ijmsi.ir/article-1-350-en.pdf hypervector space normed hypervector space operator. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2012-11 7 2 17 34 article S. M. Anvariyeh 1 S. Mirvakili 2 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. http://ijmsi.ir/article-1-351-en.pdf Canonicalm-ary hypergroup Krasner (m n)-hyperring (m n)−ary hypermodules. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2012-11 7 2 35 52 article Kalidas Das 1 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. http://ijmsi.ir/article-1-352-en.pdf Peristalsis Froude number Brinkman number Heat transfer coefficient. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2012-11 7 2 53 62 article Ali Akbar Estaji 1 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). http://ijmsi.ir/article-1-354-en.pdf Absolutely convex weak ideal Completely regular space Convex weak ideal F-space Prime weak ideal P-space semigroup z-weak ideal. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2012-11 7 2 63 74 article A. Tari 1 F. Shakeri and M. Dehghan in [13] 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. http://ijmsi.ir/article-1-355-en.pdf Biological species living together Differential transform method Volterra integro-differential equations Variational iteration method. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2012-11 7 2 75 82 article Mircea V. Diudea 1 Beata Szefler 2 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. http://ijmsi.ir/article-1-356-en.pdf Polybenzene Multi torus Genus of structure Linear periodic network Omega polynomial. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2012-11 7 2 83 91 article Nahid Ashrafi 1 Zahra Ahmadi 2 A ring $R$ with identity is called ``clean;#39;#39 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;#39;#39 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 $g(x)$. http://ijmsi.ir/article-1-353-en.pdf Clean ring g(x)-clean ring Weakly g(x)-clean ring. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2012-11 7 2 93 102 article M. R. Eslahchi 1 Sanaz Amani 2 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. http://ijmsi.ir/article-1-357-en.pdf Best polynomial approximation Alternating set Shifted Chebyshev polynomials Uniform norm.