Bulletin of the Iranian Mathematical Society
text
article
2015
eng
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
3
no.
2015
http://bims.iranjournals.ir/article_630_8e0618f3fcd9f3b62dc454d42dafce74.pdf
On the bandwidth of Mobius graphs
I.
Ahmad
University of Malakand
author
P. M.
Higgins
University of Essex
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
3
no.
2015
545
550
http://bims.iranjournals.ir/article_631_fc896dcbf77f2414a25391162c702fb7.pdf
Characterization of projective special linear groups in dimension three by their orders and degree patterns
G. R.
Rezaeezadeh
Shahrekord University
author
M.
Bibak
Shahrekord University
author
M.
Sajjadi
Shahrekord University
author
text
article
2015
eng
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 $p\sim q$ if there is an element in $G$ of
order $pq$. Let $\pi(G)=\{p_{1},p_{2},...,p_{k}\}$. For
$p\in\pi(G)$, set $deg(p):=|\{q \in\pi(G)| p\sim q\}|$, 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 $n\in\{4,5,6,7,8,10,12\}$ is
OD-characterizable.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
3
no.
2015
551
580
http://bims.iranjournals.ir/article_632_3f6d5de174b86eff8a838ae21b872c90.pdf
Volume difference inequalities for the projection and intersection bodies
C. J.
Zhao
Department of Mathematics, China Jiliang University, Hangzhou 310018, China
author
W. S.
Cheung
The University of Hong Kong
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
3
no.
2015
581
590
http://bims.iranjournals.ir/article_633_7619b4ea5ade851e2a0a21d5357bf36f.pdf
Almost simple groups with Socle $G_2(q)$ acting on finite linear spaces
S.
Li
School of Mathematical Sciences Suzhou University Suzhou, 215006 China
author
X.
Li
School of Mathematics, Central South
University, Changsha, P. R. China
author
W.
Liu
School of Mathematics, Central South
University, Changsha, P. R. China
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
3
no.
2015
591
602
http://bims.iranjournals.ir/article_634_db903e51d0db7dbbd47a22e7c8074aed.pdf
Some results on value distribution of the difference operator
Y.
Liu
Department of Mathematics, Shaoxing College of Arts and Sciences, Shaoxing, Zhejiang 312000, China
author
J. P.
Wang
Department of Mathematics, Shaoxing College of Arts and Sciences, Shaoxing, Zhejiang 312000, China
author
F. H.
Liu
Department of Mathematics, Shandon university, Jinan, Shandong 250100, China
author
text
article
2015
eng
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 $k\geq 3$, (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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
3
no.
2015
603
611
http://bims.iranjournals.ir/article_635_eb443301fa68e35139a83770ef545aa8.pdf
Some properties of extended multiplier transformations to the classes of meromorphic multivalent functions
A.
Muhammad
Department of Basic Sciences, University of Engineering and
Technology, P.O. Box 25000, Peshawar Pakistan
author
S.
Hussain
Department of
Mathematics, COMSATS Institute of Information Technology, P.O. Box 22010, Abbotabad, Pakistan
author
W.
Ul-Haq
Mathematics Department
Faculty of Science, main campus Zulfi, P.O. Box 1712, Majmaah University, Saudi Arabia
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
3
no.
2015
613
624
http://bims.iranjournals.ir/article_636_1a3326f67c3002ebdd6eb6c61566a171.pdf
Coherence in amalgamated algebra along an ideal
K.
Alaoui Ismaili
Department of Mathematics, Faculty of Science and Technology of Fez, Box 2202,
University S.M. Ben Abdellah Fez, Morocco
author
N.
Mahdou
Department of Mathematics, Faculty of Science and Technology of Fez, Box 2202,
University S.M. Ben Abdellah Fez, Morocco
author
text
article
2015
eng
Let $f: A\rightarrow B$ 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 $A\bowtie^{f}J$. We provide necessary and sufficient conditions for $A\bowtie^{f}J$ to be a coherent ring.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
3
no.
2015
625
632
http://bims.iranjournals.ir/article_637_ee6424db1fd55f61b941f1ae5f86a13b.pdf
The metric dimension and girth of graphs
M.
Jannesari
Shahreza High Education Center, 86149-56841, Shahreza, Iran
author
text
article
2015
eng
A set $W\subseteq V(G)$ is called a resolving set for $G$,
if for each two distinct vertices $u,v\in V(G)$ there exists $w\in W$
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,t\geq 2$.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
3
no.
2015
633
638
http://bims.iranjournals.ir/article_638_d88f00c535acfb7583ac4db47a80194e.pdf
A remark on asymptotic enumeration of highest weights in tensor powers of a representation
K.
Kaveh
Department of Mathematics, Dietrich School of Arts and Sciences, University of Pittsburgh,
301 Thackeray Hall, Pittsburgh, PA 15260, U.S.A.
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
3
no.
2015
639
646
http://bims.iranjournals.ir/article_639_6d43576203cab46b3d2b0d2eb9c92e00.pdf
A posteriori $ L^2(L^2)$-error estimates with the new version of streamline diffusion method for the wave equation
D.
Rostamy
Department of Mathematics, Imam Khomeini International University,
Qazvin, Iran
author
F.
Zabihi
Department of Mathematics, Kashan University, Kashan, Iran
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
3
no.
2015
647
664
http://bims.iranjournals.ir/article_640_b898ea789b26c9d0b125a9a8837bba03.pdf
On weakly $\mathfrak{F}_{s}$-quasinormal subgroups of finite groups
Y.
Mao
Department of Mathematics, University of Science and Technology of China, Hefei,
230026, P. R. China
author
X.
Chen
Department of Mathematics, University of Science and Technology of China, Hefei,
230026, P. R. China
author
W.
Guo
Department of Mathematics, University of Science and Technology of China, Hefei,
230026, P. R. China
author
text
article
2015
eng
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 $(H\cap T)H_{G}/H_{G}\leq Z_{\mathfrak{F}}(G/H_{G})$, 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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
3
no.
2015
665
675
http://bims.iranjournals.ir/article_641_943c644d2220d44e9e8b2bca28726322.pdf
On meromorphically multivalent functions defined by multiplier transformation
M. P.
Jeyaraman
Department of Mathematics, L. N. Government College, Ponneri, Chennai, 601- 204, Tamilnadu, India
author
T. K.
Suresh
Department of
Mathematics, Easwari Engineering College, Ramapuram, Chennai, 600-089, Tamilnadu, India
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
3
no.
2015
677
697
http://bims.iranjournals.ir/article_642_f310bf947eee67bc71fa8aa36dd35446.pdf
On convergence of certain nonlinear Durrmeyer operators at Lebesgue points
H.
Karsli
Department of
Mathematics, Abant Izzet Baysal University,
Faculty of Science and Arts, P.O. Box 14280, Bolu, Turkey
author
text
article
2015
eng
The aim of this paper is to study the behaviour of certain sequence of nonlinear Durrmeyer operators $ND_{n}f$ of the form
$$(ND_{n}f)(x)=\int\limits_{0}^{1}K_{n}\left( x,t,f\left( t\right) \right)
dt\,\,\,0\leq x\leq 1,\,\,\,\,\,n\in \mathbb{N},
$$
acting on bounded functions on an interval $\left[ 0,1\right] ,$ where $%
K_{n}\left( x,t,u\right) $ satisfies some suitable assumptions. Here we
estimate the rate of convergence at a point $x$, which is a Lebesgue point
of $f\in L_{1}\left( [0,1]\right) $ be such that $\psi o\left\vert
f\right\vert \in BV\left( [0,1]\right) $, where $\psi o\left\vert
f\right\vert $ denotes the composition of the functions $\psi $ and $%
\left\vert f\right\vert $. 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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
3
no.
2015
699
711
http://bims.iranjournals.ir/article_643_a61793a4bf19240e5ae4ac83d5dad504.pdf
On uniqueness of meromorphic functions sharing five small functions on annuli
N.
Wu
Department of Mathematics, School of Science, China University of Mining and Technology(Beijing)
author
Q.
Ge
Department of Mathematics, School of Science, China University of Mining and Technology (Beijing), Beijing,
100083, People's Republic of China.
author
text
article
2015
eng
The purpose of this article is
to investigate the uniqueness of meromorphic functions sharing
five small functions on annuli.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
3
no.
2015
713
722
http://bims.iranjournals.ir/article_644_394a58535a80914450992da7a1d48916.pdf
Stochastic functional population dynamics with jumps
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
author
Z.
Hou
Mathematics Department, Central South University
author
X.
Yang
School of Mathematics and Statistics, Central South
University, Changsha, 410075, China
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
3
no.
2015
723
737
http://bims.iranjournals.ir/article_645_d60f90e0d0f95b10042f68b0131b8ee8.pdf
A certain convolution approach for subclasses of univalent harmonic functions
R. M.
El-Ashwah
Department of Mathematics,
Faculty of Science,
Damietta University,
New Damietta 34517, Egypt
author
M. K.
Aouf
Department of Mathematics,
Faculty of Science,
Mansoura University,
Mansoura 35516, Egypt
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
3
no.
2015
739
747
http://bims.iranjournals.ir/article_646_046d68d426133c2174b5099833e56c8a.pdf
Notes on amalgamated duplication of a ring along an ideal
P.
Sahandi
Department of Mathematics, University of Tabriz
author
N.
Shirmohammadi
Department of Mathematics, University of Tabriz
author
text
article
2015
eng
In this paper, we study some ring theoretic properties of the
amalgamated duplication ring $R\bowtie I$ 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 $R\bowtie I$
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
3
no.
2015
749
757
http://bims.iranjournals.ir/article_647_6f264fec3b7bfd2e1d9d72c509e39042.pdf
Optimality conditions for Pareto efficiency and proper ideal point in set-valued nonsmooth vector optimization using contingent cone
Y. F.
Chai
Department of
Mathematics, Xidian University, Xi'an 710071, China
author
S. Y.
Liu
Department of
Mathematics, Xidian University, Xi'an 710071, China
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
3
no.
2015
759
770
http://bims.iranjournals.ir/article_648_0752152377cd9d137832342eff76106d.pdf
Integration formulas for the conditional transform involving the first variation
I. Y.
Lee
Department of Mathematics, Dankook University, Cheonan 330-714, Korea
author
H. S.
Chung
Department of Mathematics, Dankook University, Cheonan 330-714, Korea
author
S. J.
Chang
Department of Mathematics, Dankook University, Cheonan 330-714, Korea
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
3
no.
2015
771
783
http://bims.iranjournals.ir/article_649_8ed55f04c5c95d0065afbfc0fd08e495.pdf
Approximate multi-additive mappings in 2-Banach spaces
K.
Cieplinski
AGH University of Science and Technology, Faculty of Applied Mathematics,
al. A. Mickiewicza 30,
30-059 Krakow, Poland
author
text
article
2015
eng
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].
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
3
no.
2015
785
792
http://bims.iranjournals.ir/article_650_acc314eef58d9b12fb5a6ec893d82ea4.pdf