2018-09-21T01:46:48Z
http://bims.iranjournals.ir/?_action=export&rf=summon&issue=73
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
3
Bulletin of the Iranian Mathematical Society
2015
06
01
http://bims.iranjournals.ir/article_630_8e0618f3fcd9f3b62dc454d42dafce74.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
3
On the bandwidth of Mobius graphs
I.
Ahmad
P. M.
Higgins
Bandwidth labelling is a well known research area in graph theory. We
provide a new proof that the bandwidth of Mobius ladder is 4, if it
is not a $K_{4}$, and investigate the bandwidth of a wider class
of Mobius graphs of even strips.
Mobius graphs
Cartesian product of graphs
labelling of graphs
bandwidth of a graph
2015
06
01
545
550
http://bims.iranjournals.ir/article_631_fc896dcbf77f2414a25391162c702fb7.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
3
Characterization of projective special linear groups in dimension three by their orders and degree patterns
G. R.
Rezaeezadeh
M.
Bibak
M.
Sajjadi
The prime graph $Gamma(G)$ of a group $G$ is
a graph with vertex set $pi(G)$, the set of primes dividing the
order of $G$, and two distinct vertices $p$ and $q$ are adjacent
by an edge written $psim q$ if there is an element in $G$ of
order $pq$. Let $pi(G)={p_{1},p_{2},...,p_{k}}$. For
$pinpi(G)$, set $deg(p):=|{q inpi(G)| psim q}|$, which is
called the degree of $p$. We also set
$D(G):=(deg(p_{1}),deg(p_{2}),...,deg(p_{k}))$, where
$p_{1}
Prime graph
degree pattern
OD-characterizable
2015
06
01
551
580
http://bims.iranjournals.ir/article_632_3f6d5de174b86eff8a838ae21b872c90.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
3
Volume difference inequalities for the projection and intersection bodies
C. J.
Zhao
W. S.
Cheung
In this paper, we introduce a new concept of
volumes difference function of the projection and intersection
bodies. Following this, we establish the Minkowski and
Brunn-Minkowski inequalities for volumes difference function of
the projection and intersection bodies.
Projection body
intersection body
volume
difference
Minkowski inequality
Brunn-Minkowski inequality
2015
06
01
581
590
http://bims.iranjournals.ir/article_633_7619b4ea5ade851e2a0a21d5357bf36f.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
3
Almost simple groups with Socle $G_2(q)$ acting on finite linear spaces
S.
Li
X.
Li
W.
Liu
After the classification of the flag-transitive linear spaces, the attention has been turned to line-transitive linear spaces. In this article, we present a
partial classification of the finite linear spaces $mathcal S$ on
which an almost simple group $G$ with the socle $G_2(q)$ acts
line-transitively.
Line-transitive
linear space
almost simple group
2015
06
01
591
602
http://bims.iranjournals.ir/article_634_db903e51d0db7dbbd47a22e7c8074aed.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
3
Some results on value distribution of the difference operator
Y.
Liu
J. P.
Wang
F. H.
Liu
In this article, we consider the uniqueness of the difference monomials $f^{n}(z)f(z+c)$. Suppose that $f(z)$ and $g(z)$ are transcendental meromorphic functions with finite order and $E_k(1, f^{n}(z)f(z+c))=E_k(1, g^{n}(z)g(z+c))$. Then we prove that if one of the following holds (i) $n geq 14$ and $kgeq 3$, (ii) $n geq 16$ and $k=2$, (iii) $n geq 22$ and $k=1$, then $f(z)equiv t_1g(z)$ or $f(z)g(z)=t_2,$
for some constants $t_1$ and $t_2$ that satisfy $t_1^{n+1}=1$
and $t_2^{n+1}=1$. We generalize some previous results of Qi et. al.
Meromorphic
functions
difference equations
uniqueness
finite order
2015
06
15
603
611
http://bims.iranjournals.ir/article_635_eb443301fa68e35139a83770ef545aa8.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
3
Some properties of extended multiplier transformations to the classes of meromorphic multivalent functions
A.
Muhammad
S.
Hussain
W.
Ul-Haq
In this paper, we introduce new classes $sum_{k,p,n}(alpha ,m,lambda
,l,rho )$ and $mathcal{T}_{k,p,n}(alpha ,m,lambda ,l,rho )$ of p-valent
meromorphic functions defined by using the extended multiplier
transformation operator. We use a strong convolution technique and derive
inclusion results. A radius problem and some other interesting properties of
these classes are discussed.
multivalent functions
Analytic functions
meromorphic functions
multiplier transformations
Linear operator
functions with positive real
part
Hadamard product
2015
06
01
613
624
http://bims.iranjournals.ir/article_636_1a3326f67c3002ebdd6eb6c61566a171.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
3
Coherence in amalgamated algebra along an ideal
K.
Alaoui Ismaili
N.
Mahdou
Let $f: Arightarrow B$ be a ring homomorphism and let $J$ be an ideal of $B$. In this paper, we investigate the transfer of the property of coherence to the amalgamation $Abowtie^{f}J$. We provide necessary and sufficient conditions for $Abowtie^{f}J$ to be a coherent ring.
Amalgamated algebra
coherent
ring
2015
06
15
625
632
http://bims.iranjournals.ir/article_637_ee6424db1fd55f61b941f1ae5f86a13b.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
3
The metric dimension and girth of graphs
M.
Jannesari
A set $Wsubseteq V(G)$ is called a resolving set for $G$,
if for each two distinct vertices $u,vin V(G)$ there exists $win W$
such that $d(u,w)neq d(v,w)$, where $d(x,y)$ is the distance
between the vertices $x$ and $y$. The minimum cardinality of a
resolving set for $G$ is called the metric dimension of $G$, and
denoted by $dim(G)$. In this paper, it is proved that in a
connected graph $G$ of order $n$ which has a cycle, $dim(G)leq n-g(G)+2$,
where $g(G)$ is the length of the shortest cycle in $G$, and the
equality holds if and only if $G$ is a cycle, a complete graph or a
complete bipartite graph $K_{s,t}$, $ s,tgeq 2$.
Resolving set
metric dimension
girth
2015
06
01
633
638
http://bims.iranjournals.ir/article_638_d88f00c535acfb7583ac4db47a80194e.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
3
A remark on asymptotic enumeration of highest weights in tensor powers of a representation
K.
Kaveh
We consider the semigroup $S$ of highest weights appearing in tensor powers $V^{otimes k}$ of a finite dimensional representation $V$ of a connected reductive group. We describe the cone generated by $S$ as the cone over the weight polytope of $V$ intersected with the positive Weyl chamber. From this we get a description for the asymptotic of the number of highest weights appearing in $V^{otimes k}$ in terms of the volume of this polytope.
Reductive group representation
tensor power
semigroup of integral points
weight polytope
moment polytope
2015
06
01
639
646
http://bims.iranjournals.ir/article_639_6d43576203cab46b3d2b0d2eb9c92e00.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
3
A posteriori $ L^2(L^2)$-error estimates with the new version of streamline diffusion method for the wave equation
D.
Rostamy
F.
Zabihi
In this article, we study the new streamline diffusion finite
element for treating the linear second order hyperbolic
initial-boundary value problem. We prove a posteriori $ L^2(L^2)$
and error estimates for this method under minimal regularity
hypothesis. Test problem of an application of the wave equation
in the laser is presented to verify the efficiency and accuracy
of the method.
Streamline diffusion method
finite
element method
a posteriori error estimates
2015
06
01
647
664
http://bims.iranjournals.ir/article_640_b898ea789b26c9d0b125a9a8837bba03.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
3
On weakly $mathfrak{F}_{s}$-quasinormal subgroups of finite groups
Y.
Mao
X.
Chen
W.
Guo
Let $mathfrak{F}$ be a formation and $G$ a finite group. A subgroup $H$ of $G$ is said to be weakly $mathfrak{F}_{s}$-quasinormal in $G$ if $G$ has an $S$-quasinormal subgroup $T$ such that $HT$ is $S$-quasinormal in $G$ and $(Hcap T)H_{G}/H_{G}leq Z_{mathfrak{F}}(G/H_{G})$, where $Z_{mathfrak{F}}(G/H_{G})$ denotes the $mathfrak{F}$-hypercenter of $G/H_{G}$. In this paper, we study the structure of finite groups by using the concept of weakly $mathfrak{F}_{s}$-quasinormal subgroup.
F-hypercenter
weakly Fs-quasinormal subgroups
Sylow subgroups
p-nilpotence
supersolubility
2015
06
01
665
675
http://bims.iranjournals.ir/article_641_943c644d2220d44e9e8b2bca28726322.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
3
On meromorphically multivalent functions defined by multiplier transformation
M. P.
Jeyaraman
T. K.
Suresh
The purpose of this paper is to derive various useful subordination properties and
characteristics for certain subclass of multivalent meromorphic functions, which
are defined here by the multiplier transformation. Also, we obtained inclusion
relationship for this subclass.
Analytic functions
multivalent functions
differential subordination
Gauss hypergeometric function
multiplier transformation
2015
06
15
677
697
http://bims.iranjournals.ir/article_642_f310bf947eee67bc71fa8aa36dd35446.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
3
On convergence of certain nonlinear Durrmeyer operators at Lebesgue points
H.
Karsli
The aim of this paper is to study the behaviour of certain sequence of nonlinear Durrmeyer operators $ND_{n}f$ of the form
$$(ND_{n}f)(x)=intlimits_{0}^{1}K_{n}left( x,t,fleft( tright) right)
dt,,,0leq xleq 1,,,,,,nin mathbb{N},
$$
acting on bounded functions on an interval $left[ 0,1right] ,$ where $%
K_{n}left( x,t,uright) $ satisfies some suitable assumptions. Here we
estimate the rate of convergence at a point $x$, which is a Lebesgue point
of $fin L_{1}left( [0,1]right) $ be such that $psi oleftvert
frightvert in BVleft( [0,1]right) $, where $psi oleftvert
frightvert $ denotes the composition of the functions $psi $ and $%
leftvert frightvert $. The function $psi :mathbb{R}_{0}^{+}rightarrow
mathbb{R}_{0}^{+}$ is continuous and concave with $psi (0)=0,$ $psi (u)>0$
for $u>0$, which appears from the $left( L-psi right) $ Lipschitz
conditions.
nonlinear Durrmeyer operators
bounded variation
Lipschitz condition
pointwise convergence
2015
06
01
699
711
http://bims.iranjournals.ir/article_643_a61793a4bf19240e5ae4ac83d5dad504.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
3
On uniqueness of meromorphic functions sharing five small functions on annuli
N.
Wu
Q.
Ge
The purpose of this article is
to investigate the uniqueness of meromorphic functions sharing
five small functions on annuli.
meromorphic function
Nevanlinna theory
small functions
uniqueness
annulus
2015
06
01
713
722
http://bims.iranjournals.ir/article_644_394a58535a80914450992da7a1d48916.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
3
Stochastic functional population dynamics with jumps
L.
Tan
Z.
Hou
X.
Yang
In this paper we use a class of stochastic functional
Kolmogorov-type model with jumps to describe the evolutions of
population dynamics. By constructing a special Lyapunov function, we
show that the stochastic functional differential equation associated
with our model admits a unique global solution in the positive
orthant, and, by the exponential martingale inequality with jumps,
we discuss the asymptotic pathwise estimation of such a model.
Kolmogorov-type population dynamics
jumps
exponential martingale inequality with jumps
asymptotic
pathwise estimation
2015
06
01
723
737
http://bims.iranjournals.ir/article_645_d60f90e0d0f95b10042f68b0131b8ee8.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
3
A certain convolution approach for subclasses of univalent harmonic functions
R. M.
El-Ashwah
M. K.
Aouf
In the present paper we study convolution properties for subclasses of
univalent harmonic functions in the open unit disc and obtain some basic
properties such as coefficient characterization and extreme points.
Analytic
harmonic
Convolution
2015
06
01
739
747
http://bims.iranjournals.ir/article_646_046d68d426133c2174b5099833e56c8a.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
3
Notes on amalgamated duplication of a ring along an ideal
P.
Sahandi
N.
Shirmohammadi
In this paper, we study some ring theoretic properties of the
amalgamated duplication ring $Rbowtie I$ of a commutative
Noetherian ring $R$ along an ideal $I$ of $R$ which was introduced by
D'Anna and Fontana. Indeed, it is determined that when $Rbowtie I$
satisfies Serre's conditions $(R_n)$ and $(S_n)$, and when is a
normal ring, a generalized Cohen-Macaulay ring and finally a filter
ring.
Amalgamated ring
Cohen-Macaulay ring
Serre condition
normal ring
filter ring
2015
06
01
749
757
http://bims.iranjournals.ir/article_647_6f264fec3b7bfd2e1d9d72c509e39042.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
3
Optimality conditions for Pareto efficiency and proper ideal point in set-valued nonsmooth vector optimization using contingent cone
Y. F.
Chai
S. Y.
Liu
In this paper, we first present a new important property for Bouligand tangent cone (contingent cone) of a star-shaped set. We then establish optimality conditions for Pareto minima and proper ideal efficiencies in nonsmooth vector optimization problems by means of Bouligand tangent cone of image set, where the objective is generalized cone convex set-valued map, in general real normed spaces.
Star-shaped set
Bouligand tangent cone
generalized cone convex maps
optimality conditions
2015
06
15
759
770
http://bims.iranjournals.ir/article_648_0752152377cd9d137832342eff76106d.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
3
Integration formulas for the conditional transform involving the first variation
I. Y.
Lee
H. S.
Chung
S. J.
Chang
In this paper, we show that the conditional transform with respect to the Gaussian process
involving the first variation can be expressed in terms of the conditional transform without the first variation.
We then use this result to obtain various integration formulas involving the conditional $diamond$-product and the first variation.
Brownian motion process
Gaussian process
simple formula
conditional transform with respect to Gaussian process
conditional $diamond$-product
first variation
2015
06
01
771
783
http://bims.iranjournals.ir/article_649_8ed55f04c5c95d0065afbfc0fd08e495.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
3
Approximate multi-additive mappings in 2-Banach spaces
K.
Cieplinski
A mapping $f:V^n longrightarrow W$, where $V$ is a commutative
semigroup, $W$ is a linear space and $n$ is a positive integer, is
called multi-additive if it is additive in each variable. In this
paper we prove the Hyers-Ulam stability of
multi-additive mappings in 2-Banach spaces. The corollaries from our
main results correct some outcomes from [W.-G. Park, Approximate additive mappings in 2-Banach spaces and related
topics, J. Math. Anal. Appl. 376 (2011) 193--202].
Stability
multi-additive mapping
linear 2-normed space
2015
06
01
785
792
http://bims.iranjournals.ir/article_650_acc314eef58d9b12fb5a6ec893d82ea4.pdf