ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 13 2 2018 10 1 Balanced Degree-Magic Labelings of Complete Bipartite Graphs under Binary Operations 1 13 EN Ph. Inpoonjai Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi phaisatcha_in@outlook.com T. Jiarasuksakun Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi thiradet.jia@mail.kmutt.ac.th A graph is called supermagic if there is a labeling of edges where the edges are labeled with consecutive distinct positive integers such that the sum of the labels of all edges incident with any vertex is constant. A graph G is called degree-magic if there is a labeling of the edges by integers 1, 2, ..., |E(G)| such that the sum of the labels of the edges incident with any vertex v is equal to (1+|E(G)|)deg(v)/2. Degree-magic graphs extend supermagic regular graphs. In this paper we find the necessary and sufficient conditions for the existence of balanced degree-magic labelings of graphs obtained by taking the join, composition, Cartesian product, tensor product and strong product of complete bipartite graphs. Complete bipartite graphs, Supermagic graphs, Degree-magic graphs, Balanced degree-magic graphs http://ijmsi.ir/article-1-823-en.html http://ijmsi.ir/article-1-823-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 13 2 2018 10 1 New Approaches to Duals of Fourier-like Systems 15 27 EN E. Osgooei Department of Sciences, Urmia University of Technology, Urmia, Iran. e.osgooei@uut.ac.ir ‎The sequences of the form \${E_{mb}g_{n}}_{m‎, ‎ninmathbb{Z}}\$,‎ ‎where \$E_{mb}\$ is the modulation operator‎, ‎\$b>0\$ and \$g_{n}\$ is the‎ ‎window function in \$L^{2}(mathbb{R})\$‎, ‎construct Fourier-like‎ ‎systems‎. ‎We try to consider some sufficient conditions on the window‎ ‎functions of Fourier-like systems‎, ‎to make a frame and find a dual‎ ‎frame with the same structure‎. ‎We also extend the given two Bessel‎ ‎Fourier-like systems to make a pair of dual frames and prove that‎ ‎the window functions of Fourier-like Bessel sequences share the‎ ‎compactly supported property with their extensions‎. ‎But for‎ ‎polynomials windows‎, ‎a result of this type does not happen. Fourier-like systems, Shift-invariant systems, A pair of dual frames, Polynomials. http://ijmsi.ir/article-1-729-en.html http://ijmsi.ir/article-1-729-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 13 2 2018 10 1 Existence Results for Generalized ε-Vector Equilibrium Problems 29 43 EN M. Abbasi malek.abbasi@sci.ui.ac.ir M. Rezaei mrezaie@sci.ui.ac.ir This paper studies some existence results for generalized epsilon-vector equilibrium problems and generalized epsilon-vector variational inequalities. The existence results for solutions are derived by using the celebrated KKM theorem. The results achieved in this paper generalize and improve the works of many authors in references. Generalized epsilon-vector equilibrium problems, Generalized epsilon-vector variational inequalities, KKM theorem, Existence results, Painleve-Kuratowski set-convergence. http://ijmsi.ir/article-1-792-en.html http://ijmsi.ir/article-1-792-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 13 2 2018 10 1 Szeged Dimension and \$PI_v\$ Dimension of Composite Graphs 45 57 EN Y. Alizadeh Hakim Sabzevary University y.alizadeh@hsu.ac.ir Let \$G\$ be a simple connected graph. In this paper, Szeged dimension and PI\$_v\$ dimension of graph \$G\$ are introduced. It is proved that if \$G\$ is a graph of Szeged dimension \$1\$ then line graph of \$G\$ is 2-connected. The dimensions of five composite graphs: sum, corona, composition, disjunction and symmetric difference with strongly regular components is computed. Also explicit formulas of Szeged and PI\$_v\$ indices for these composite graphs is obtained. Szeged dimension, PI\$_v\$ dimension, Composite graphs, Strongly regular graph. http://ijmsi.ir/article-1-796-en.html http://ijmsi.ir/article-1-796-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 13 2 2018 10 1 \$L_1\$-Biharmonic Hypersurfaces in Euclidean Spaces with Three Distinct Principal Curvatures 59 70 EN A. Mohammadpouri pouri@tabrizu.ac.ir F. Pashaie S. Tajbakhsh Chen's biharmonic conjecture is well-known and stays open: The only biharmonic submanifolds of Euclidean spaces are the minimal ones. In this paper, we consider an advanced version of the conjecture, replacing \$Delta\$ by its extension, \$L_1\$-operator (\$L_1\$-conjecture). The \$L_1\$-conjecture states that any \$L_1\$-biharmonic Euclidean hypersurface is 1-minimal. We prove that the \$L_1\$-conjecture is true for \$L_1\$-biharmonic hypersurfaces with three distinct principal curvatures and constant mean curvature of a Euclidean space of arbitrary dimension. Linearized operators \$L_r\$, \$L_1\$-biharmonic hypersurfaces, \$1\$-minimal http://ijmsi.ir/article-1-816-en.html http://ijmsi.ir/article-1-816-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 13 2 2018 10 1 On Generalizations of Hadamard Inequalities for Fractional Integrals 71 81 EN Gh. Farid A. Ur Rehman M. Zahra Fej'{e}r  Hadamard  inequality is generalization of Hadamard inequality. In this paper we prove certain Fej'{e}r  Hadamard  inequalities for \$k\$-fractional integrals. We deduce Fej'{e}r  Hadamard-type  inequalities for Riemann-Liouville fractional integrals. Also as special case Hadamard inequalities for \$k\$-fractional as well as fractional integrals are given. Convex functions, Hermite-Hadamard inequalities, Fej'{e}r Hadamard inequality, Riemann-Liouville fractional integrals http://ijmsi.ir/article-1-826-en.html http://ijmsi.ir/article-1-826-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 13 2 2018 10 1 Vector Space semi-Cayley Graphs 83 91 EN B. Tolue Department of Mathematics,Hakim Sabzevari University b.tolue@gmail.com The original aim of this paper is to construct a graph associated to a vector space. By inspiration of the classical definition for the Cayley graph related to a group we define Cayley graph of a vector space. The vector space Cayley graph \${rm Cay(mathcal{V},S)}\$ is a graph with the vertex set the whole vectors of the vector space \$mathcal{V}\$ and two vectors \$v_1,v_2\$ join by an edge whenever \$v_1-v_2in S\$ or \$-S\$, where \$S\$ is a basis of \$mathcal{V}\$. This fact causes a new connection between vector spaces and graphs. The vector space Cayley graph is made of copies of the cycles of length \$t\$, where \$t\$ is the cardinal number of the field that \$mathcal{V}\$ is constructed over it. The vector space Cayley graph is generalized to the graph \$Gamma(mathcal{V},S)\$. It is a graph with vertex set whole vectors of \$mathcal{V}\$ and two vertices \$v\$ and \$w\$ are adjacent whenever \$c_{1}upsilon+ c_{2}omega = sum^{n}_{i=1} alpha_{i}\$, where \$S={alpha_1,cdots,alpha_n}\$ is an ordered basis for \$mathcal{V}\$ and \$c_1,c_2\$ belong to the field that the vector space \$mathcal{V}\$ is made of over. It is deduced that if \$ S'\$ is another basis for \$mathcal{V}\$ which is constructed by special invertible matrix \$P\$, then \$Gamma(mathcal{V},S)cong Gamma(mathcal{V},S')\$. Cayley graph, Vector space, Basis http://ijmsi.ir/article-1-817-en.html http://ijmsi.ir/article-1-817-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 13 2 2018 10 1 Fractal Dimension of Graphs of Typical Continuous Functions on Manifolds 93 99 EN R. Mirzaie r.mirzaei@sci.ikiu.ac.ir If M is a compact Riemannian manifold then we show that for typical continuous function defined on M, the upper box dimension of  graph(f) is as big as possible and the lower box dimension of graph(f) is as small as possible.   Manifold, Fractal, Box dimension http://ijmsi.ir/article-1-833-en.html http://ijmsi.ir/article-1-833-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 13 2 2018 10 1 On I-statistical Convergence 101 109 EN Sh. Debnath Tripura University shyamalnitamath@gmail.com D. Rakshit Tripura University debjanirakshit88@gmail.com In the present paper, we investigate the notion of I -statistical convergence and introduce I -st limit points and I -st cluster points of real number sequence and also studied some of its basic properties. I -limit point, I -cluster point, I -statistically convergent http://ijmsi.ir/article-1-847-en.html http://ijmsi.ir/article-1-847-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 13 2 2018 10 1 A Numerical Scheme for Solving Nonlinear Fractional Volterra Integro-Differential Equations 111 132 EN P. Rahimkhani Alzahra University Y. Ordokhani E. Babolian In this paper, a Bernoulli pseudo-spectral method for solving nonlinear fractional Volterra integro-differential equations is considered. First existence of a unique solution for the problem under study is proved. Then the Caputo fractional derivative and Riemman-Liouville fractional integral properties are employed to derive the new approximate formula for unknown function of the problem. The suggested technique transforms these types of equations to the solution of systems of algebraic equations. In the next step, the error analysis of the proposed method is investigated. Finally, the technique is applied to some problems to show its validity and applicability. Fractional Volterra integro-differential equations, Bernoulli pseudo- spectral method, Caputo derivative. http://ijmsi.ir/article-1-868-en.html http://ijmsi.ir/article-1-868-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 13 2 2018 10 1 Isoclinic Classification of Some Pairs \$(G,G\')\$ of \$p\$-Groups 133 142 EN S. Kayvanfar Department of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran skayvanf@um.ac.ir A. Kaheni Department of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran azamkaheni@yahoo.com ‎‎The equivalence relation isoclinism partitions the class of all pairs of groups‎ ‎into families‎. ‎In this paper‎, ‎a complete classification of the set of all pairs \$(G,G')\$ is established‏‎,‎ whenever‎ \$G\$ is a \$p\$-group of order at most \$p^5‎‏\$‎ and ‎\$p\$ is a prime number greater than 3. Moreover‎, ‎the classification of pairs \$(H,H')\$ for extra special \$p\$-groups \$H\$ is also given. Pairs of groups, Isoclinism, Classification of \$p\$-groups http://ijmsi.ir/article-1-858-en.html http://ijmsi.ir/article-1-858-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 13 2 2018 10 1 Extended Jacobi and Laguerre Functions and their Applications 143 161 EN M.R. Eslahchi A. Abedzadeh The aim of this paper is to introduce two new extensions of the Jacobi and Laguerre polynomials as the eigenfunctions of two non-classical Sturm-Liouville problems. We prove some important properties of these operators such as: These sets of functions are orthogonal with respect to a positive de nite inner product de ned over the compact intervals [-1, 1] and [0,1), respectively and also these sequences form two new orthog- onal bases for the corresponding Hilbert spaces. Finally, the spectral and Rayleigh-Ritz methods are carry out using these basis functions to solve some examples. Our nu- merical results are compared with other existing results to con rm the eciency and accuracy of our method. Sturm-Liouville theory, Orthogonal polynomials, Ordinary di erential equations, Non-classical Sturm-Liouville problems, Spectral method, Collocation method, Galerkin. http://ijmsi.ir/article-1-916-en.html http://ijmsi.ir/article-1-916-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 13 2 2018 10 1 On Almost n-Layered QTAG-modules 163 171 EN A. Hasan Jazan University, KSA ayaz.maths@gmail.com We define the notion of almost \$n\$-layered \$QTAG\$-modules and study their basic properties. One of the main result is that almost 1-layered modules are almost \$(omega+1)\$-projective exactly when they are almost direct sum of countably generated modules of length less than or equal to \$(omega+1)\$. Some other characterizations of this new class are also established. \$QTAG\$-modules, Almost \$Sigma\$-uniserial modules, Almost \$(omega+n)\$-projective modules, Almost 1-layered modules. http://ijmsi.ir/article-1-870-en.html http://ijmsi.ir/article-1-870-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 13 2 2018 10 1 ABSTRACTS IN PERSIAN Vol.13, No.2 173 186 EN The Name of Authors In This Volume fatemeh.bardestani@gmail.com Please see the full text contains the Pesian abstracts for this volume. ABSTRACTS, PERSIAN, Vol. 13, No. 2 http://ijmsi.ir/article-1-1513-en.html http://ijmsi.ir/article-1-1513-en.pdf