2012
7
2
0
102
The Common Neighborhood Graph and Its Energy
2
2
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.
1
8
Anwar
Alwardi
Anwar
Alwardi
Branko
Arsic
Branko
Arsic
Ivan
Gutman
Ivan
Gutman
Nandappa D.
Soner
Nandappa D.
Soner
Common neighborhood graph
Congraph
Spectrum (of graph)
Energy (of graph).
[## ##]
Uniform Boundedness Principle for operators on hypervector spaces
2
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.
9
16
Ali
Taghavi
Ali
Taghavi
Roja
Hosseinzadeh
Roja
Hosseinzadeh
hypervector space
normed hypervector space
operator.
[## ##]
Canonical (m,n)−ary hypermodules over Krasner (m,n)−ary hyperrings
2
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.
17
34
S. M.
Anvariyeh
S. M.
Anvariyeh
S.
Mirvakili
S.
Mirvakili
Canonicalm-ary hypergroup
Krasner (m
n)-hyperring
(m
n)−ary hypermodules.
[## ##]
Effects of Slip and Heat Transfer on MHD Peristaltic Flow in An Inclined Asymmetric Channel
2
2
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.
35
52
Kalidas
Das
Kalidas
Das
Peristalsis
Froude number
Brinkman number
Heat transfer coefficient.
[## ##]
z-weak ideals and prime weak ideals
2
2
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).
53
62
Ali Akbar
Estaji
Ali Akbar
Estaji
Absolutely convex weak ideal
Completely regular space
Convex weak ideal
F-space
Prime weak ideal
P-space
semigroup
z-weak ideal.
[## ##]
The differential transform method for solving the model describing biological species living together
2
2
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.
63
74
A.
Tari
A.
Tari
Biological species living together
Differential transform method
Volterra integro-differential equations
Variational iteration method.
[## ##]
Omega Polynomial in Polybenzene Multi Tori
2
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.
75
82
Mircea V.
Diudea
Mircea V.
Diudea
Beata
Szefler
Beata
Szefler
Polybenzene
Multi torus
Genus of structure
Linear periodic network
Omega polynomial.
[## ##]
WEAKLY g(x)-CLEAN RINGS
2
2
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 $g(x)$.
83
91
Nahid
Ashrafi
Nahid
Ashrafi
Zahra
Ahmadi
Zahra
Ahmadi
Clean ring
g(x)-clean ring
Weakly g(x)-clean ring.
[## ##]
The best uniform polynomial approximation of two classes of rational functions
2
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.
93
102
M. R.
Eslahchi
M. R.
Eslahchi
Sanaz
Amani
Sanaz
Amani
Best polynomial approximation
Alternating set
Shifted Chebyshev polynomials
Uniform norm.
[## ##]