Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41320150601On the bandwidth of Mobius graphs545550631ENI. AhmadUniversity of MalakandP. M. HigginsUniversity of EssexJournal Article20120721Bandwidth 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.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41320150601Characterization of projective special linear groups in dimension three by their orders and degree patterns551580632ENG. R. RezaeezadehShahrekord UniversityM. BibakShahrekord UniversityM. SajjadiShahrekord UniversityJournal Article20130408The 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. Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41320150601Volume difference inequalities for the projection and intersection bodies581590633ENC. J. ZhaoDepartment of Mathematics, China Jiliang University, Hangzhou 310018, ChinaW. S. CheungThe University of Hong KongJournal Article20130315In 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.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41320150601Almost simple groups with Socle $G_2(q)$ acting on finite linear spaces591602634ENS. LiSchool of Mathematical Sciences Suzhou University Suzhou, 215006 ChinaX. LiSchool of Mathematics, Central South
University, Changsha, P. R. ChinaW. LiuSchool of Mathematics, Central South
University, Changsha, P. R. ChinaJournal Article20130409 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.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41320150615Some results on value distribution of the difference operator603611635ENY. LiuDepartment of Mathematics, Shaoxing College of Arts and Sciences, Shaoxing, Zhejiang 312000, ChinaJ. P. WangDepartment of Mathematics, Shaoxing College of Arts and Sciences, Shaoxing, Zhejiang 312000, ChinaF. H. LiuDepartment of Mathematics, Shandon university, Jinan, Shandong 250100, ChinaJournal Article20131218In 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.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41320150601Some properties of extended multiplier transformations to the classes of meromorphic multivalent functions613624636ENA. MuhammadDepartment of Basic Sciences, University of Engineering and
Technology, P.O. Box 25000, Peshawar PakistanS. HussainDepartment of
Mathematics, COMSATS Institute of Information Technology, P.O. Box 22010, Abbotabad, PakistanW. Ul-HaqMathematics Department
Faculty of Science, main campus Zulfi, P.O. Box 1712, Majmaah University, Saudi ArabiaJournal Article20130523 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.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41320150615Coherence in amalgamated algebra along an ideal625632637ENK. Alaoui IsmailiDepartment of Mathematics, Faculty of Science and Technology of Fez, Box 2202,
University S.M. Ben Abdellah Fez, MoroccoN. MahdouDepartment of Mathematics, Faculty of Science and Technology of Fez, Box 2202,
University S.M. Ben Abdellah Fez, MoroccoJournal Article20130930Let $f: Arightarrow B$ 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.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41320150601The metric dimension and girth of graphs633638638ENM. JannesariShahreza High Education Center, 86149-56841, Shahreza, IranJournal Article20120502A 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$.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41320150601A remark on asymptotic enumeration of highest weights in tensor powers of a representation639646639ENK. KavehDepartment of Mathematics, Dietrich School of Arts and Sciences, University of Pittsburgh,
301 Thackeray Hall, Pittsburgh, PA 15260, U.S.A.Journal Article20131030We 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.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41320150601A posteriori $ L^2(L^2)$-error estimates with the new version of streamline diffusion method for the wave equation647664640END. RostamyDepartment of Mathematics, Imam Khomeini International University,
Qazvin, IranF. ZabihiDepartment of Mathematics, Kashan University, Kashan, IranJournal Article20120709In 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.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41320150601On weakly $mathfrak{F}_{s}$-quasinormal subgroups of finite groups665675641ENY. MaoDepartment of Mathematics, University of Science and Technology of China, Hefei,
230026, P. R. ChinaX. ChenDepartment of Mathematics, University of Science and Technology of China, Hefei,
230026, P. R. ChinaW. GuoDepartment of Mathematics, University of Science and Technology of China, Hefei,
230026, P. R. ChinaJournal Article20140108Let $mathfrak{F}$ 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.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41320150615On meromorphically multivalent functions defined by multiplier transformation677697642ENM. P. JeyaramanDepartment of Mathematics, L. N. Government College, Ponneri, Chennai, 601- 204, Tamilnadu, IndiaT. K. SureshDepartment of
Mathematics, Easwari Engineering College, Ramapuram, Chennai, 600-089, Tamilnadu, IndiaJournal Article20140111The 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.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41320150601On convergence of certain nonlinear Durrmeyer operators at Lebesgue points699711643ENH. KarsliDepartment of
Mathematics, Abant Izzet Baysal University,
Faculty of Science and Arts, P.O. Box 14280, Bolu, TurkeyJournal Article20131207The 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.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41320150601On uniqueness of meromorphic functions sharing five small functions on annuli713722644ENN. WuDepartment of Mathematics, School of Science, China University of Mining and Technology(Beijing)Q. GeDepartment of Mathematics, School of Science, China University of Mining and Technology (Beijing), Beijing,
100083, People's Republic of China.Journal Article20131010The purpose of this article is
to investigate the uniqueness of meromorphic functions sharing
five small functions on annuli.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41320150601Stochastic functional population dynamics with jumps723737645ENL. TanSchool 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, ChinaZ. HouMathematics Department, Central South UniversityX. YangSchool of Mathematics and Statistics, Central South
University, Changsha, 410075, ChinaJournal Article20130429In 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.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41320150601A certain convolution approach for subclasses of univalent harmonic functions739747646ENR. M. El-AshwahDepartment of Mathematics,
Faculty of Science,
Damietta University,
New Damietta 34517, EgyptM. K. AoufDepartment of Mathematics,
Faculty of Science,
Mansoura University,
Mansoura 35516, EgyptJournal Article20121114In 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.
Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41320150601Notes on amalgamated duplication of a ring along an ideal749757647ENP. SahandiDepartment of Mathematics, University of TabrizN. ShirmohammadiDepartment of Mathematics, University of TabrizJournal Article20131116In 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.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41320150615Optimality conditions for Pareto efficiency and proper ideal point in set-valued nonsmooth vector optimization using contingent cone759770648ENY. F. ChaiDepartment of
Mathematics, Xidian University, Xi'an 710071, ChinaS. Y. LiuDepartment of
Mathematics, Xidian University, Xi'an 710071, ChinaJournal Article20130904In 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.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41320150601Integration formulas for the conditional transform involving the first variation771783649ENI. Y. LeeDepartment of Mathematics, Dankook University, Cheonan 330-714, KoreaH. S. ChungDepartment of Mathematics, Dankook University, Cheonan 330-714, KoreaS. J. ChangDepartment of Mathematics, Dankook University, Cheonan 330-714, KoreaJournal Article20140113In 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.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41320150601Approximate multi-additive mappings in 2-Banach spaces785792650ENK. CieplinskiAGH University of Science and Technology, Faculty of Applied Mathematics,
al. A. Mickiewicza 30,
30-059 Krakow, PolandJournal Article20131122A 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].