فهرست مطالب
Bulletin of Iranian Mathematical Society
Volume:41 Issue: 3, 2015
- تاریخ انتشار: 1394/05/06
- تعداد عناوین: 20
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Pages 545-550Bandwidth 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.Keywords: Mobius graphs_Cartesian product of graphs_labelling of graphs_bandwidth of a graph
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Pages 551-580The prime graph Γ(G) of a group G is a graph with vertex set π(G), the set of primes dividing the order of G, and two distinct vertices p and q are adjacent by an edge written p∼q if there is an element in G of order pq. Let π(G)={p 1, p 2, ...,p k}. For p∈π(G), set deg(p):=|{q∈π(G)|p∼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
Keywords: Prime graph, degree pattern, OD, characterizable
Pages 581-590
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.
Keywords:
Projection body, intersection body, volume difference, Minkowski inequality, Brunn, Minkowski inequality
Pages 591-602
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 S on which an almost simple group G with the socle G 2 (q) acts line-transitively.
Keywords:
Line, transitive, linear space, almost simple group
Pages 603-611
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≥14 and k≥3, (ii) n≥16 and k=2, (iii) n≥22 and k=1, then f(z)≡t 1 g(z) or f(z)g(z)=t 2, for some constants t 1 and t 2 that satisfy t n+1 1 =1 and t n+1 2 =1. We generalize some previous results of Qi et. al.
Keywords:
Meromorphic functions, difference equations, uniqueness, finite order
Pages 613-624
In this paper, we introduce new classes ∑ k,p,n (α,m,λ,l,ρ) and T k,p,n (α,m,λ,l,ρ) 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.
Keywords:
multivalent functions, Analytic functions, meromorphic functions, multiplier transformations, linear operator, functions with positive real part, Hadamard product
Pages 625-632
Let f:A→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⋈ f J. We provide necessary and sufficient conditions for A⋈ f J to be a coherent ring.
Keywords:
Amalgamated algebra, coherent ring
Pages 633-638
A set W⊆V(G) is called a resolving set for G, if for each two distinct vertices u,v∈V(G) there exists w∈W such that d(u,w)≠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)≤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≥2.
Keywords:
Resolving set, metric dimension, girth
Pages 639-646
We consider the semigroup S of highest weights appearing in tensor powers V ⊗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 ⊗k in terms of the volume of this polytope.
Keywords:
Reductive group representation, tensor power, semigroup of integral points, weight polytope, moment polytope
Pages 647-664
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.
Keywords:
Streamline diffusion method, finite element method, a posteriori error estimates
Pages 665-675
Let F be a formation and G a finite group. A subgroup H of G is said to be weakly F s quasinormal in G if G has an S -quasinormal subgroup T such that HT is S -quasinormal in G and (H∩T)H G /H G ≤Z F (G/H G), where Z F (G/H G) denotes the F hypercenter of G/H G. In this paper, we study the structure of finite groups by using the concept of weakly F s -quasinormal subgroup.
Keywords:
F, hypercenter, weakly Fs, quasinormal subgroups, Sylow subgroups, p, nilpotence, supersolubility
Pages 677-697
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.
Keywords:
Analytic functions, multivalent functions, differential subordination, Gauss hypergeometric function, multiplier transformation
Pages 699-711
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.
Keywords:
nonlinear Durrmeyer operators, bounded variation, Lipschitz condition, pointwise convergence
Pages 713-722
The purpose of this article is to investigate the uniqueness of meromorphic functions sharing five small functions on annuli.
Keywords:
Meromorphic function, Nevanlinna theory, small functions, uniqueness, annulus
Pages 723-737
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.
Keywords:
Kolmogorov, type population dynamics, jumps, exponential martingale inequality with jumps, asymptotic pathwise estimation
Pages 739-747
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.
Keywords:
Analytic, harmonic, convolution
Pages 749-757
In this paper, we study some ring theoretic properties of the amalgamated duplication ring R⋈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⋈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.
Keywords:
Amalgamated ring, Cohen, Macaulay ring, Serre condition, normal ring, filter ring
Pages 759-770
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.
Keywords:
Star, shaped set, Bouligand tangent cone, generalized cone convex maps, optimality conditions
Pages 771-783
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 ⋄ product and the first variation.
Keywords:
Brownian motion process, Gaussian process, simple formula, conditional transform with respect to Gaussian process, conditional ⋄, product, first variation
Pages 785-792
A mapping f:V n ⟶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].
Keywords:
Stability, multi, additive mapping, linear 2, normed space