eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-06-01
41
3
545
550
631
On the bandwidth of Mobius graphs
I. Ahmad
iahmaad@hotmail.com
1
P. M. Higgins
peteh@essex.ac.uk
2
University of Malakand
University of Essex
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.
http://bims.iranjournals.ir/article_631_fc896dcbf77f2414a25391162c702fb7.pdf
Mobius graphs
Cartesian product of graphs
labelling of graphs
bandwidth of a graph
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-06-01
41
3
551
580
632
Characterization of projective special linear groups in dimension three by their orders and degree patterns
G. R. Rezaeezadeh
rezaeezadeh@sci.sku.ac.ir
1
M. Bibak
m.bibak62@gmail.com
2
M. Sajjadi
sajadi_mas@yahoo.com
3
Shahrekord University
Shahrekord University
Shahrekord University
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.
http://bims.iranjournals.ir/article_632_3f6d5de174b86eff8a838ae21b872c90.pdf
Prime graph
degree pattern
OD-characterizable
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-06-01
41
3
581
590
633
Volume difference inequalities for the projection and intersection bodies
C. J. Zhao
chjzhao315@sohu.com
1
W. S. Cheung
wscheung@hku.hk
2
Department of Mathematics, China Jiliang University, Hangzhou 310018, China
The University of Hong Kong
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.
http://bims.iranjournals.ir/article_633_7619b4ea5ade851e2a0a21d5357bf36f.pdf
Projection body
intersection body
volume
difference
Minkowski inequality
Brunn-Minkowski inequality
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-06-01
41
3
591
602
634
Almost simple groups with Socle $G_2(q)$ acting on finite linear spaces
S. Li
lszfd2004@163.com
1
X. Li
xhli@suda.edu.cn
2
W. Liu
wjliu6210@126.com
3
School of Mathematical Sciences Suzhou University Suzhou, 215006 China
School of Mathematics, Central South University, Changsha, P. R. China
School of Mathematics, Central South University, Changsha, P. R. China
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.
http://bims.iranjournals.ir/article_634_db903e51d0db7dbbd47a22e7c8074aed.pdf
Line-transitive
linear space
almost simple group
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-06-15
41
3
603
611
635
Some results on value distribution of the difference operator
Y. Liu
liuyongsdu@aliyun.com
1
J. P. Wang
jpwang@usx.edu.cn
2
F. H. Liu
liufanghong07@126.com
3
Department of Mathematics, Shaoxing College of Arts and Sciences, Shaoxing, Zhejiang 312000, China
Department of Mathematics, Shaoxing College of Arts and Sciences, Shaoxing, Zhejiang 312000, China
Department of Mathematics, Shandon university, Jinan, Shandong 250100, China
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.
http://bims.iranjournals.ir/article_635_eb443301fa68e35139a83770ef545aa8.pdf
Meromorphic
functions
difference equations
uniqueness
finite order
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-06-01
41
3
613
624
636
Some properties of extended multiplier transformations to the classes of meromorphic multivalent functions
A. Muhammad
ali7887@gmail.com
1
S. Hussain
saqibhussain@ciit.net.pk
2
W. Ul-Haq
w.ulhaq@mu.edu.sa
3
Department of Basic Sciences, University of Engineering and Technology, P.O. Box 25000, Peshawar Pakistan
Department of Mathematics, COMSATS Institute of Information Technology, P.O. Box 22010, Abbotabad, Pakistan
Mathematics Department Faculty of Science, main campus Zulfi, P.O. Box 1712, Majmaah University, Saudi Arabia
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.
http://bims.iranjournals.ir/article_636_1a3326f67c3002ebdd6eb6c61566a171.pdf
multivalent functions
Analytic functions
meromorphic functions
multiplier transformations
Linear operator
functions with positive real
part
Hadamard product
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-06-15
41
3
625
632
637
Coherence in amalgamated algebra along an ideal
K. Alaoui Ismaili
alaouikarima2012@hotmail.fr
1
N. Mahdou
mahdou@hotmail.com
2
Department of Mathematics, Faculty of Science and Technology of Fez, Box 2202, University S.M. Ben Abdellah Fez, Morocco
Department of Mathematics, Faculty of Science and Technology of Fez, Box 2202, University S.M. Ben Abdellah Fez, Morocco
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.
http://bims.iranjournals.ir/article_637_ee6424db1fd55f61b941f1ae5f86a13b.pdf
Amalgamated algebra
coherent
ring
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-06-01
41
3
633
638
638
The metric dimension and girth of graphs
M. Jannesari
m.jannesari@math.iut.ac.ir
1
Shahreza High Education Center, 86149-56841, Shahreza, Iran
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$.
http://bims.iranjournals.ir/article_638_d88f00c535acfb7583ac4db47a80194e.pdf
Resolving set
metric dimension
girth
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-06-01
41
3
639
646
639
A remark on asymptotic enumeration of highest weights in tensor powers of a representation
K. Kaveh
kaveh@pitt.edu
1
Department of Mathematics, Dietrich School of Arts and Sciences, University of Pittsburgh, 301 Thackeray Hall, Pittsburgh, PA 15260, U.S.A.
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.
http://bims.iranjournals.ir/article_639_6d43576203cab46b3d2b0d2eb9c92e00.pdf
Reductive group representation
tensor power
semigroup of integral points
weight polytope
moment polytope
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-06-01
41
3
647
664
640
A posteriori $ L^2(L^2)$-error estimates with the new version of streamline diffusion method for the wave equation
D. Rostamy
rostamy@khayam.ut.ac.ir
1
F. Zabihi
zabihi@kashanu.ac.ir
2
Department of Mathematics, Imam Khomeini International University, Qazvin, Iran
Department of Mathematics, Kashan University, Kashan, Iran
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.
http://bims.iranjournals.ir/article_640_b898ea789b26c9d0b125a9a8837bba03.pdf
Streamline diffusion method
finite
element method
a posteriori error estimates
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-06-01
41
3
665
675
641
On weakly $mathfrak{F}_{s}$-quasinormal subgroups of finite groups
Y. Mao
maoym@mail.ustc.edu.cn
1
X. Chen
jelly@mail.ustc.edu.cn
2
W. Guo
wbguo@ustc.edu.cn
3
Department of Mathematics, University of Science and Technology of China, Hefei, 230026, P. R. China
Department of Mathematics, University of Science and Technology of China, Hefei, 230026, P. R. China
Department of Mathematics, University of Science and Technology of China, Hefei, 230026, P. R. China
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.
http://bims.iranjournals.ir/article_641_943c644d2220d44e9e8b2bca28726322.pdf
F-hypercenter
weakly Fs-quasinormal subgroups
Sylow subgroups
p-nilpotence
supersolubility
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-06-15
41
3
677
697
642
On meromorphically multivalent functions defined by multiplier transformation
M. P. Jeyaraman
{jeyaraman_mp@yahoo.co.in
1
T. K. Suresh
tksuresh73@yahoo.com
2
Department of Mathematics, L. N. Government College, Ponneri, Chennai, 601- 204, Tamilnadu, India
Department of Mathematics, Easwari Engineering College, Ramapuram, Chennai, 600-089, Tamilnadu, India
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.
http://bims.iranjournals.ir/article_642_f310bf947eee67bc71fa8aa36dd35446.pdf
Analytic functions
multivalent functions
differential subordination
Gauss hypergeometric function
multiplier transformation
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-06-01
41
3
699
711
643
On convergence of certain nonlinear Durrmeyer operators at Lebesgue points
H. Karsli
karsli_h@ibu.edu.tr
1
Department of Mathematics, Abant Izzet Baysal University, Faculty of Science and Arts, P.O. Box 14280, Bolu, Turkey
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.
http://bims.iranjournals.ir/article_643_a61793a4bf19240e5ae4ac83d5dad504.pdf
nonlinear Durrmeyer operators
bounded variation
Lipschitz condition
pointwise convergence
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-06-01
41
3
713
722
644
On uniqueness of meromorphic functions sharing five small functions on annuli
N. Wu
wunan2007@163.com
1
Q. Ge
geqin0113@163.com
2
Department of Mathematics, School of Science, China University of Mining and Technology(Beijing)
Department of Mathematics, School of Science, China University of Mining and Technology (Beijing), Beijing, 100083, People's Republic of China.
The purpose of this article is
to investigate the uniqueness of meromorphic functions sharing
five small functions on annuli.
http://bims.iranjournals.ir/article_644_394a58535a80914450992da7a1d48916.pdf
meromorphic function
Nevanlinna theory
small functions
uniqueness
annulus
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-06-01
41
3
723
737
645
Stochastic functional population dynamics with jumps
L. Tan
tltanli@126.com
1
Z. Hou
zthou@csu.edu.cn
2
X. Yang
yangxiaoxia0731@163.com
3
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
Mathematics Department, Central South University
School of Mathematics and Statistics, Central South University, Changsha, 410075, China
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.
http://bims.iranjournals.ir/article_645_d60f90e0d0f95b10042f68b0131b8ee8.pdf
Kolmogorov-type population dynamics
jumps
exponential martingale inequality with jumps
asymptotic
pathwise estimation
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-06-01
41
3
739
747
646
A certain convolution approach for subclasses of univalent harmonic functions
R. M. El-Ashwah
r_elashwah@yahoo.com
1
M. K. Aouf
mkaouf127@yahoo.com
2
Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
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.
http://bims.iranjournals.ir/article_646_046d68d426133c2174b5099833e56c8a.pdf
Analytic
harmonic
Convolution
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-06-01
41
3
749
757
647
Notes on amalgamated duplication of a ring along an ideal
P. Sahandi
sahandi@tabrizu.ac.ir
1
N. Shirmohammadi
shirmohammadi@tabrizu.ac.ir
2
Department of Mathematics, University of Tabriz
Department of Mathematics, University of Tabriz
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.
http://bims.iranjournals.ir/article_647_6f264fec3b7bfd2e1d9d72c509e39042.pdf
Amalgamated ring
Cohen-Macaulay ring
Serre condition
normal ring
filter ring
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-06-15
41
3
759
770
648
Optimality conditions for Pareto efficiency and proper ideal point in set-valued nonsmooth vector optimization using contingent cone
Y. F. Chai
chyf_0923@163.com
1
S. Y. Liu
liusanyang@126.com
2
Department of Mathematics, Xidian University, Xi'an 710071, China
Department of Mathematics, Xidian University, Xi'an 710071, China
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.
http://bims.iranjournals.ir/article_648_0752152377cd9d137832342eff76106d.pdf
Star-shaped set
Bouligand tangent cone
generalized cone convex maps
optimality conditions
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-06-01
41
3
771
783
649
Integration formulas for the conditional transform involving the first variation
I. Y. Lee
iylee@dankook.ac.kr
1
H. S. Chung
hschung@dankook.ac.kr
2
S. J. Chang
sejchang@dankook.ac.kr
3
Department of Mathematics, Dankook University, Cheonan 330-714, Korea
Department of Mathematics, Dankook University, Cheonan 330-714, Korea
Department of Mathematics, Dankook University, Cheonan 330-714, Korea
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.
http://bims.iranjournals.ir/article_649_8ed55f04c5c95d0065afbfc0fd08e495.pdf
Brownian motion process
Gaussian process
simple formula
conditional transform with respect to Gaussian process
conditional $diamond$-product
first variation
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-06-01
41
3
785
792
650
Approximate multi-additive mappings in 2-Banach spaces
K. Cieplinski
cieplin@agh.edu.pl
1
AGH University of Science and Technology, Faculty of Applied Mathematics, al. A. Mickiewicza 30, 30-059 Krakow, Poland
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].
http://bims.iranjournals.ir/article_650_acc314eef58d9b12fb5a6ec893d82ea4.pdf
Stability
multi-additive mapping
linear 2-normed space