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&#039;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&#039;an 710071, China author S. Y. Liu Department of Mathematics, Xidian University, Xi&#039;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