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 university of Isfahan, department of mathematics malek.abbasi@sci.ui.ac.ir M. Rezaei university of Isfahan, department of mathematics 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, Painleve-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 Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran. pouri@tabrizu.ac.ir F. Pashaie Department of Mathematics, Faculty of Basic Sciences, University of Maragheh. S. Tajbakhsh Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran. 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