OTHERS_CITABLE
The Common Neighborhood Graph and Its Energy
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
2015-10-26T10:20:15
1
8
10.7508/ijmsi.2012.02.001
Common neighborhood graph
Congraph
Spectrum (of graph)
Energy (of graph).
Anwar
Alwardi
1
AUTHOR
Branko
Arsic
2
AUTHOR
Ivan
Gutman
3
AUTHOR
Nandappa D.
Soner
4
AUTHOR
OTHERS_CITABLE
Uniform Boundedness Principle for operators on hypervector spaces
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
2015-10-26T10:20:15
9
16
10.7508/ijmsi.2012.02.002
hypervector space
normed hypervector space
operator.
Ali
Taghavi
1
AUTHOR
Roja
Hosseinzadeh
2
AUTHOR
OTHERS_CITABLE
Canonical (m,n)−ary hypermodules over Krasner (m,n)−ary hyperrings
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
2015-10-26T10:20:15
17
34
10.7508/ijmsi.2012.02.003
Canonicalm-ary hypergroup
Krasner (m
n)-hyperring
(m
n)−ary hypermodules.
S. M.
Anvariyeh
1
AUTHOR
S.
Mirvakili
2
AUTHOR
OTHERS_CITABLE
Effects of Slip and Heat Transfer on MHD Peristaltic Flow in An Inclined Asymmetric Channel
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
2015-10-26T10:20:15
35
52
10.7508/ijmsi.2012.02.004
Peristalsis
Froude number
Brinkman number
Heat transfer coefficient.
Kalidas
Das
1
AUTHOR
OTHERS_CITABLE
z-weak ideals and prime weak ideals
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
2015-10-26T10:20:15
53
62
10.7508/ijmsi.2012.02.005
Absolutely convex weak ideal
Completely regular space
Convex weak ideal
F-space
Prime weak ideal
P-space
semigroup
z-weak ideal.
Ali Akbar
Estaji
1
AUTHOR
OTHERS_CITABLE
The differential transform method for solving the model describing biological species living together
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
2015-10-26T10:20:15
63
74
10.7508/ijmsi.2012.02.006
Biological species living together
Differential transform method
Volterra integro-differential equations
Variational iteration method.
A.
Tari
1
AUTHOR
OTHERS_CITABLE
Omega Polynomial in Polybenzene Multi Tori
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
2015-10-26T10:20:15
75
82
10.7508/ijmsi.2012.02.007
Polybenzene
Multi torus
Genus of structure
Linear periodic network
Omega polynomial.
Mircea V.
Diudea
1
AUTHOR
Beata
Szefler
2
AUTHOR
OTHERS_CITABLE
WEAKLY g(x)-CLEAN RINGS
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 $g(x)$.
http://ijmsi.ir/article-1-353-en.pdf
2015-10-26T10:20:15
83
91
10.7508/ijmsi.2012.02.008
Clean ring
g(x)-clean ring
Weakly g(x)-clean ring.
Nahid
Ashrafi
1
AUTHOR
Zahra
Ahmadi
2
AUTHOR
OTHERS_CITABLE
The best uniform polynomial approximation of two classes of rational functions
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
2015-10-26T10:20:15
93
102
10.7508/ijmsi.2012.02.009
Best polynomial approximation
Alternating set
Shifted Chebyshev polynomials
Uniform norm.
M. R.
Eslahchi
1
AUTHOR
Sanaz
Amani
2
AUTHOR