Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
3
2015
06
01
On the bandwidth of Mobius graphs
545
550
EN
I.
Ahmad
University of Malakand
iahmaad@hotmail.com
P. M.
Higgins
University of Essex
peteh@essex.ac.uk
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
http://bims.iranjournals.ir/article_631.html
http://bims.iranjournals.ir/article_631_fc896dcbf77f2414a25391162c702fb7.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
3
2015
06
01
Characterization of projective special linear groups in dimension three by their orders and degree patterns
551
580
EN
G. R.
Rezaeezadeh
Shahrekord University
rezaeezadeh@sci.sku.ac.ir
M.
Bibak
Shahrekord University
m.bibak62@gmail.com
M.
Sajjadi
Shahrekord University
sajadi_mas@yahoo.com
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
$p_{1}<p_{2}<...<p_{k}$, which is called degree pattern of $G$.
The group $G$ is called $k$-fold OD-characterizable if there exists
exactly $k$ non-isomorphic groups $M$ satisfying conditions
$|G|=|M|$ and $D(G)=D(M)$. In particular, a $1$-fold
OD-characterizable group is simply called OD-characterizable. In
this paper, as the main result, we prove that projective special
linear group $L_{3}(2^{n})$ where $nin{4,5,6,7,8,10,12}$ is
OD-characterizable.
Prime graph,degree pattern,OD-characterizable
http://bims.iranjournals.ir/article_632.html
http://bims.iranjournals.ir/article_632_3f6d5de174b86eff8a838ae21b872c90.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
3
2015
06
01
Volume difference inequalities for the projection and intersection bodies
581
590
EN
C. J.
Zhao
Department of Mathematics, China Jiliang University, Hangzhou 310018, China
chjzhao315@sohu.com
W. S.
Cheung
The University of Hong Kong
wscheung@hku.hk
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
http://bims.iranjournals.ir/article_633.html
http://bims.iranjournals.ir/article_633_7619b4ea5ade851e2a0a21d5357bf36f.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
3
2015
06
01
Almost simple groups with Socle $G_2(q)$ acting on finite linear spaces
591
602
EN
S.
Li
School of Mathematical Sciences Suzhou University Suzhou, 215006 China
lszfd2004@163.com
X.
Li
School of Mathematics, Central South
University, Changsha, P. R. China
xhli@suda.edu.cn
W.
Liu
School of Mathematics, Central South
University, Changsha, P. R. China
wjliu6210@126.com
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
http://bims.iranjournals.ir/article_634.html
http://bims.iranjournals.ir/article_634_db903e51d0db7dbbd47a22e7c8074aed.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
3
2015
06
15
Some results on value distribution of the difference operator
603
611
EN
Y.
Liu
Department of Mathematics, Shaoxing College of Arts and Sciences, Shaoxing, Zhejiang 312000, China
liuyongsdu@aliyun.com
J. P.
Wang
Department of Mathematics, Shaoxing College of Arts and Sciences, Shaoxing, Zhejiang 312000, China
jpwang@usx.edu.cn
F. H.
Liu
Department of Mathematics, Shandon university, Jinan, Shandong 250100, China
liufanghong07@126.com
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
http://bims.iranjournals.ir/article_635.html
http://bims.iranjournals.ir/article_635_eb443301fa68e35139a83770ef545aa8.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
3
2015
06
01
Some properties of extended multiplier transformations to the classes of meromorphic multivalent functions
613
624
EN
A.
Muhammad
Department of Basic Sciences, University of Engineering and
Technology, P.O. Box 25000, Peshawar Pakistan
ali7887@gmail.com
S.
Hussain
Department of
Mathematics, COMSATS Institute of Information Technology, P.O. Box 22010, Abbotabad, Pakistan
saqibhussain@ciit.net.pk
W.
Ul-Haq
Mathematics Department
Faculty of Science, main campus Zulfi, P.O. Box 1712, Majmaah University, Saudi Arabia
w.ulhaq@mu.edu.sa
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
http://bims.iranjournals.ir/article_636.html
http://bims.iranjournals.ir/article_636_1a3326f67c3002ebdd6eb6c61566a171.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
3
2015
06
15
Coherence in amalgamated algebra along an ideal
625
632
EN
K.
Alaoui Ismaili
Department of Mathematics, Faculty of Science and Technology of Fez, Box 2202,
University S.M. Ben Abdellah Fez, Morocco
alaouikarima2012@hotmail.fr
N.
Mahdou
Department of Mathematics, Faculty of Science and Technology of Fez, Box 2202,
University S.M. Ben Abdellah Fez, Morocco
mahdou@hotmail.com
Let $f: Arightarrow B$ be a ring homomorphism and let $J$ be an ideal of $B$. In this paper, we investigate the transfer of <br />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
http://bims.iranjournals.ir/article_637.html
http://bims.iranjournals.ir/article_637_ee6424db1fd55f61b941f1ae5f86a13b.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
3
2015
06
01
The metric dimension and girth of graphs
633
638
EN
M.
Jannesari
Shahreza High Education Center, 86149-56841, Shahreza, Iran
m.jannesari@math.iut.ac.ir
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
http://bims.iranjournals.ir/article_638.html
http://bims.iranjournals.ir/article_638_d88f00c535acfb7583ac4db47a80194e.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
3
2015
06
01
A remark on asymptotic enumeration of highest weights in tensor powers of a representation
639
646
EN
K.
Kaveh
Department of Mathematics, Dietrich School of Arts and Sciences, University of Pittsburgh,
301 Thackeray Hall, Pittsburgh, PA 15260, U.S.A.
kaveh@pitt.edu
We consider the semigroup $S$ of highest weights appearing in tensor powers $V^{otimes k}$ of <br />a finite dimensional representation $V$ of a connected reductive group. We describe the cone generated by $S$ <br />as the cone over the weight polytope of $V$ intersected with the positive Weyl chamber. <br />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
http://bims.iranjournals.ir/article_639.html
http://bims.iranjournals.ir/article_639_6d43576203cab46b3d2b0d2eb9c92e00.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
3
2015
06
01
A posteriori $ L^2(L^2)$-error estimates with the new version of streamline diffusion method for the wave equation
647
664
EN
D.
Rostamy
Department of Mathematics, Imam Khomeini International University,
Qazvin, Iran
rostamy@khayam.ut.ac.ir
F.
Zabihi
Department of Mathematics, Kashan University, Kashan, Iran
zabihi@kashanu.ac.ir
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
http://bims.iranjournals.ir/article_640.html
http://bims.iranjournals.ir/article_640_b898ea789b26c9d0b125a9a8837bba03.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
3
2015
06
01
On weakly $mathfrak{F}_{s}$-quasinormal subgroups of finite groups
665
675
EN
Y.
Mao
Department of Mathematics, University of Science and Technology of China, Hefei,
230026, P. R. China
maoym@mail.ustc.edu.cn
X.
Chen
Department of Mathematics, University of Science and Technology of China, Hefei,
230026, P. R. China
jelly@mail.ustc.edu.cn
W.
Guo
Department of Mathematics, University of Science and Technology of China, Hefei,
230026, P. R. China
wbguo@ustc.edu.cn
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
http://bims.iranjournals.ir/article_641.html
http://bims.iranjournals.ir/article_641_943c644d2220d44e9e8b2bca28726322.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
3
2015
06
15
On meromorphically multivalent functions defined by multiplier transformation
677
697
EN
M. P.
Jeyaraman
Department of Mathematics, L. N. Government College, Ponneri, Chennai, 601- 204, Tamilnadu, India
{jeyaraman_mp@yahoo.co.in
T. K.
Suresh
Department of
Mathematics, Easwari Engineering College, Ramapuram, Chennai, 600-089, Tamilnadu, India
tksuresh73@yahoo.com
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
http://bims.iranjournals.ir/article_642.html
http://bims.iranjournals.ir/article_642_f310bf947eee67bc71fa8aa36dd35446.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
3
2015
06
01
On convergence of certain nonlinear Durrmeyer operators at Lebesgue points
699
711
EN
H.
Karsli
Department of
Mathematics, Abant Izzet Baysal University,
Faculty of Science and Arts, P.O. Box 14280, Bolu, Turkey
karsli_h@ibu.edu.tr
The aim of this paper is to study the behaviour of certain sequence of nonlinear Durrmeyer operators $ND_{n}f$ of the form
<span style="font-size: 10px;">$$(ND_{n}f)(x)=intlimits_{0}^{1}K_{n}left( x,t,fleft( tright) right)</span>
dt,,,0leq xleq 1,,,,,,nin mathbb{N},
$$
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
http://bims.iranjournals.ir/article_643.html
http://bims.iranjournals.ir/article_643_a61793a4bf19240e5ae4ac83d5dad504.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
3
2015
06
01
On uniqueness of meromorphic functions sharing five small functions on annuli
713
722
EN
N.
Wu
Department of Mathematics, School of Science, China University of Mining and Technology(Beijing)
wunan2007@163.com
Q.
Ge
Department of Mathematics, School of Science, China University of Mining and Technology (Beijing), Beijing,
100083, People's Republic of China.
geqin0113@163.com
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
http://bims.iranjournals.ir/article_644.html
http://bims.iranjournals.ir/article_644_394a58535a80914450992da7a1d48916.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
3
2015
06
01
Stochastic functional population dynamics with jumps
723
737
EN
L.
Tan
School of Statistics, Jiangxi University of Finance and Economics, Nanchang, 330013, China
and
Research Center of Applied statistics, Jiangxi University of Finance and Economics, Nanchang, 330013, China
tltanli@126.com
Z.
Hou
Mathematics Department, Central South University
zthou@csu.edu.cn
X.
Yang
School of Mathematics and Statistics, Central South
University, Changsha, 410075, China
yangxiaoxia0731@163.com
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
http://bims.iranjournals.ir/article_645.html
http://bims.iranjournals.ir/article_645_d60f90e0d0f95b10042f68b0131b8ee8.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
3
2015
06
01
A certain convolution approach for subclasses of univalent harmonic functions
739
747
EN
R. M.
El-Ashwah
Department of Mathematics,
Faculty of Science,
Damietta University,
New Damietta 34517, Egypt
r_elashwah@yahoo.com
M. K.
Aouf
Department of Mathematics,
Faculty of Science,
Mansoura University,
Mansoura 35516, Egypt
mkaouf127@yahoo.com
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
http://bims.iranjournals.ir/article_646.html
http://bims.iranjournals.ir/article_646_046d68d426133c2174b5099833e56c8a.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
3
2015
06
01
Notes on amalgamated duplication of a ring along an ideal
749
757
EN
P.
Sahandi
Department of Mathematics, University of Tabriz
sahandi@tabrizu.ac.ir
N.
Shirmohammadi
Department of Mathematics, University of Tabriz
shirmohammadi@tabrizu.ac.ir
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
http://bims.iranjournals.ir/article_647.html
http://bims.iranjournals.ir/article_647_6f264fec3b7bfd2e1d9d72c509e39042.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
3
2015
06
15
Optimality conditions for Pareto efficiency and proper ideal point in set-valued nonsmooth vector optimization using contingent cone
759
770
EN
Y. F.
Chai
Department of
Mathematics, Xidian University, Xi'an 710071, China
chyf_0923@163.com
S. Y.
Liu
Department of
Mathematics, Xidian University, Xi'an 710071, China
liusanyang@126.com
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
http://bims.iranjournals.ir/article_648.html
http://bims.iranjournals.ir/article_648_0752152377cd9d137832342eff76106d.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
3
2015
06
01
Integration formulas for the conditional transform involving the first variation
771
783
EN
I. Y.
Lee
Department of Mathematics, Dankook University, Cheonan 330-714, Korea
iylee@dankook.ac.kr
H. S.
Chung
Department of Mathematics, Dankook University, Cheonan 330-714, Korea
hschung@dankook.ac.kr
S. J.
Chang
Department of Mathematics, Dankook University, Cheonan 330-714, Korea
sejchang@dankook.ac.kr
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
http://bims.iranjournals.ir/article_649.html
http://bims.iranjournals.ir/article_649_8ed55f04c5c95d0065afbfc0fd08e495.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
3
2015
06
01
Approximate multi-additive mappings in 2-Banach spaces
785
792
EN
K.
Cieplinski
AGH University of Science and Technology, Faculty of Applied Mathematics,
al. A. Mickiewicza 30,
30-059 Krakow, Poland
cieplin@agh.edu.pl
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
http://bims.iranjournals.ir/article_650.html
http://bims.iranjournals.ir/article_650_acc314eef58d9b12fb5a6ec893d82ea4.pdf