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