ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 11 1 2016 4 1 The Subtree Size Profile of Bucket Recursive Trees 1 11 EN R. Kazemi Imam Khomeini International University 10.7508/ijmsi.2016.01.001 Kazemi (2014) introduced a new version of bucket recursive trees as another generalization of recursive trees where buckets have variable capacities. In this paper, we get the \$p\$-th factorial moments of the random variable \$S_{n,1}\$ which counts the number of subtrees size-1 profile (leaves) and show a phase change of this random variable. These can be obtained by solving a first order partial differential equation for the generating function correspond to this quantity. Bucket recursive tree, Subtree size profile, Factorial moments. http://ijmsi.ir/article-1-381-en.html http://ijmsi.ir/article-1-381-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 11 1 2016 4 1 Tangent Bundle of the Hypersurfaces in a Euclidean Space 13 26 EN S. Deshmukh King Saud University shariefd@ksu.edu.sa S. B. Al-Shaikh King Saud University 10.7508/ijmsi.2016.01.002 Let \$M\$ be an orientable hypersurface in the Euclidean space \$R^{2n}\$ with induced metric \$g\$ and \$TM\$ be its tangent bundle. It is known that the tangent bundle \$TM\$ has induced metric \$overline{g}\$ as submanifold of the Euclidean space \$R^{4n}\$ which is not a natural metric in the sense that the submersion \$pi :(TM,overline{g})rightarrow (M,g)\$ is not the Riemannian submersion. In this paper, we use the fact that \$R^{4n}\$ is the tangent bundle of the Euclidean space \$R^{2n}\$ to define a special complex structure \$overline{J}\$ on the tangent bundle \$R^{4n}\$ so that \$% (R^{4n},overline{J}\$,\$leftlangle ,rightrangle )\$ is a Kaehler manifold, where \$leftlangle ,rightrangle \$ is the Euclidean metric which is also the Sasaki metric of the tangent bundle \$R^{4n}\$. We study the structure induced on the tangent bundle \$(TM,overline{g})\$ of the hypersurface \$M\$, which is a submanifold of the Kaehler manifold \$(R^{4n},overline{J}\$,\$% leftlangle ,rightrangle )\$. We show that the tangent bundle \$TM\$ is a CR-submanifold of the Kaehler manifold  \$(R^{4n},overline{J}\$,\$leftlangle ,rightrangle )\$. We find conditions under which certain special vector fields on the tangent bundle \$(TM,overline{g})\$ are Killing vector fields. It is also shown that the tangent bundle \$TS^{2n-1}\$ of the unit sphere \$% S^{2n-1}\$ admits a Riemannian metric \$overline{g}\$ and that there exists a nontrivial Killing vector field on the tangent bundle \$(TS^{2n-1},% overline{g})\$. Tangent bundle, Hypersurface, Kaehler manifold, Almost contact structure, Killing vector field, CR-Submanifold, Second fundamental form, Wiengarten map. http://ijmsi.ir/article-1-430-en.html http://ijmsi.ir/article-1-430-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 11 1 2016 4 1 Double Integral Characterization for Bergman Spaces 27 34 EN M. Hassanlou University of Tabriz‎ m_hasanloo@tabrizu.ac.ir H. Vaezi ‎Faculty of Mathematical Sciences‎, ‎University of Tabriz‎, ‎Tabriz‎, ‎Iran hvaezi@tabrizu.ac.ir 10.7508/ijmsi.2016.01.003 ‎In this paper we characterize Bergman spaces with‎ ‎respect to double integral of the functions \$|f(z)‎ ‎-f(w)|/|z-w|\$,‎ ‎\$|f(z)‎ -‎f(w)|/rho(z,w)\$ and \$|f(z)‎ ‎-f(w)|/beta(z,w)\$,‎ ‎where \$rho\$ and \$beta\$ are the pseudo-hyperbolic and hyperbolic metrics‎. ‎We prove some necessary and sufficient conditions that implies a function to be in Bergman spaces‎. Bergman spaces, Pseudo-hyperbolic metric, Hyperbolic metric, Double integral. http://ijmsi.ir/article-1-451-en.html http://ijmsi.ir/article-1-451-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 11 1 2016 4 1 Convergence of an Approach for Solving Fredholm Functional Integral Equations 35 46 EN N. Aghazadeh Azarbaijan Shahid Madani University aghazadeh@iust.ac.ir S. Fathi Azarbaijan Shahid Madani University 10.7508/ijmsi.2016.01.004 In this work, we give a product Nyström method for solving a Fredholm functional integral equation (FIE) of the second kind. With this method solving FIE reduce to solving an algebraic system of equations. Then we use some theorems to prove the existence and uniqueness of the system. Finally we investigate the convergence of the method. Functional integral equation, Fredholm, Product Nyström method, Lagrange interpolation, Convergence. http://ijmsi.ir/article-1-462-en.html http://ijmsi.ir/article-1-462-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 11 1 2016 4 1 The Representations and Positive Type Functions of Some Homogenous Spaces 47 56 EN R. Raisi Tousi Ferdowsi University Of Mashhad raisi@.um.ac.ir F. Esmaeelzadeh Bojnourd Branch, Islamic Azad University esmaeelzadeh@bojnourdiau.ac.ir R. A. Kamyabi Gol Ferdowsi University Of Mashhad kamyabi@.um.ac.ir 10.7508/ijmsi.2016.01.005 ‎For a homogeneous spaces ‎\$‎G/H‎\$‎, we show that the convolution on \$L^1(G/H)\$ is the same as convolution on \$L^1(K)\$, where \$G\$ is semidirect product of a closed subgroup \$H\$ and a normal subgroup \$K \$ of ‎\$‎G‎\$‎. ‎Also we prove that there exists a one to one correspondence between nondegenerat \$ast\$-representations of \$L^1(G/H)\$ and representations of \$G/H\$‎. We propose a relation between cyclic representations of \$L^1(G/H)\$ and positive type functions on \$G/H\$‎. We prove that the Gelfand Raikov theorem for \$G/H\$ holds if and only if \$H\$ is normal‎. Homogenous space, Semidirect product, Convolution, Involution, Representation, Irreducible representation. http://ijmsi.ir/article-1-482-en.html http://ijmsi.ir/article-1-482-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 11 1 2016 4 1 Stability of \$g\$-Frame Expansions 57 67 EN A. Abdollahi Shiraz University abdollahi@shirazu.ac.ir E. Rahimi DepaShiraz Branch, Islamic Azad University rahimie@shirazu.ac.ir 10.7508/ijmsi.2016.01.006 In this paper we investigate the stability of one-sided perturbation to g-frame expansions. We show that if \$Lambda\$ is a g-frame of a Hilbert space \$mathcal{H}\$, \$Lambda_{i}^{a}=Lambda_{i}+Theta_{i}\$ where \$Theta_{i} in mathcal{L}(mathcal{H},mathcal{H}_{i})\$, and \$widetilde{f}=sum_{i in J}Lambda_{i}^{star}widetilde{Lambda}_{i}^{a}f\$, \$widehat{f}=sum_{i in J}(Lambda_{i}^{a})^{star}widetilde{Lambda_{i}}f\$, then \$|widehat{f}-f|leq alpha |f|\$ and \$|f-widetilde{f}|leq beta |f|\$ for some \$alpha\$ and \$beta\$. g-Frames, g-Riesz bases, g-Orthonormal bases, Dual g-frames. http://ijmsi.ir/article-1-587-en.html http://ijmsi.ir/article-1-587-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 11 1 2016 4 1 An Explicit Viscosity Iterative Algorithm for Finding Fixed Points of Two Noncommutative Nonexpansive Mappings 69 83 EN H. R. Sahebi DepartmenScience and Research Branch, Islamic Azad University sahebi@mail.aiau.ac.ir A. Razani DepartmentScience and Research Branch, Islamic Azad University razani@ipm.ir 10.7508/ijmsi.2016.01.007 We suggest an explicit viscosity iterative algorithm for finding a common element in the set of solutions of the general equilibrium problem system (GEPS) and the set of all common fixed points of two noncommuting nonexpansive self mappings in the real Hilbert space.   General equilibrium problems, Strongly positive linear bounded operator, α−Inverse strongly monotone mapping, Fixed point, Hilbert space. http://ijmsi.ir/article-1-588-en.html http://ijmsi.ir/article-1-588-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 11 1 2016 4 1 On \$(α, β)\$−Linear Connectivity 85 100 EN F. Ayatollah Zadeh Shirazi Faculty of Mathematics, Statistics and Computer Science, ColUniversity of Tehran fatemah@khayam.ut.ac.ir A. Hosseini Farhangian University (Pardis Nasibe-Shahid Sherafat branch) a_hosseini@guilan.ac.ir 10.7508/ijmsi.2016.01.008 In this paper we introduce \$(alpha,beta)-\$linear connected spaces for nonzero cardinal numbers \$alpha\$ and \$beta\$. We show that \$(alpha,beta)-\$linear connectivity approach is a tool to classify the class of all linear connected spaces. α−Arc, (α, β)−Linear connection degree, (α, β)−Linear connectivity, Arc, β−Separated family, Linear connected, Path, Path connected. http://ijmsi.ir/article-1-597-en.html http://ijmsi.ir/article-1-597-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 11 1 2016 4 1 Coincidence Points and Common Fixed Points for Expansive Type Mappings in \$b\$-Metric Spaces 101 113 EN S. Kumar Mohanta Department of Mathematics,West Bengal State University smwbes@yahoo.in 10.7508/ijmsi.2016.01.009 The main purpose of this paper is to obtain sufficient conditions for existence of points of coincidence and common fixed points for a pair of self mappings satisfying some expansive type conditions in \$b\$-metric spaces. Finally, we investigate that the equivalence of one of these results in the context of cone \$b\$-metric spaces cannot be obtained by the techniques using scalarization function. Our results extend and generalize several well known comparable results in the existing literature.   b-Metric space, Scalarization function, Point of coincidence, Common fixed point. http://ijmsi.ir/article-1-620-en.html http://ijmsi.ir/article-1-620-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 11 1 2016 4 1 On Harmonic Index and Diameter of Unicyclic Graphs 115 122 EN J. Amalorpava Jerline Holy Cross College jermaths@gmail.com L. Benedict Michaelraj Joseph’s College 10.7508/ijmsi.2016.01.010 The Harmonic index \$ H(G) \$ of a graph \$ G \$ is defined as the sum of the weights \$ dfrac{2}{d(u)+d(v)} \$ of all edges \$ uv \$ of \$G\$, where \$d(u)\$ denotes the degree of the vertex \$u\$ in \$G\$. In this work, we prove the conjecture \$dfrac{H(G)}{D(G)} geq dfrac{1}{2}+dfrac{1}{3(n-1)}  \$ given by Jianxi Liu in 2013 when G is a unicyclic graph and give a better bound \$ dfrac{H(G)}{D(G)}geq dfrac{1}{2}+dfrac{2}{3(n-2)}\$, where \$n\$ is the order and \$D(G)\$ is the diameter of the graph \$G\$. Harmonic index, Diameter, Unicyclic graph. http://ijmsi.ir/article-1-645-en.html http://ijmsi.ir/article-1-645-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 11 1 2016 4 1 Fixed Point Results on \$b\$-Metric Space via Picard Sequences and \$b\$-Simulation Functions 123 136 EN M. Demma Universit`a degli Studi di Palermo R. Saadati Iran University of Science and Technology rsaadati@eml.cc P. Vetro Universit`a degli Studi di Palermo 10.7508/ijmsi.2016.01.011 In a recent paper, Khojasteh emph{et al.} [F. Khojasteh, S. Shukla, S. Radenovi'c, A new approach to the study of fixed point theorems via simulation functions, Filomat, 29 (2015), 1189-–1194] presented a new class of simulation functions, say \$mathcal{Z}\$-contractions, with unifying power over known contractive conditions in the literature. Following this line of research, we extend and generalize their results on a \$b\$-metric context, by giving a new notion of  \$b\$-simulation function. Then, we prove and discuss some fixed point results in relation with existing ones. \$b\$-Metric space, Partial order, Nonlinear contraction, Fixed point, \$b\$-Simulation function. http://ijmsi.ir/article-1-684-en.html http://ijmsi.ir/article-1-684-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 11 1 2016 4 1 Tricyclic and Tetracyclic Graphs with Maximum and Minimum Eccentric Connectivity 137 143 EN M. Tavakoli Ferdowsi University of Mashhad M.tavakoly@Alumni.ut.ac.ir F. Rahbarnia Ferdowsi University of Mashhad rahbarnia@um.ac.ir A. R Ashrafi University of Kashan ashrafi@kashanu.ac.ir Let \$G\$ be a connected graph on \$n\$ vertices. \$G\$ is called tricyclic if it has \$n + 2\$ edges, and tetracyclic if \$G\$ has exactly \$n + 3\$ edges. Suppose \$mathcal{C}_n\$ and \$mathcal{D}_n\$ denote the set of all tricyclic and tetracyclic \$n-\$vertex graphs, respectively. The aim of this paper is to calculate the minimum and maximum of eccentric connectivity index in \$mathcal{C}_n\$ and \$mathcal{D}_n\$. Tricyclic graph, Tetracyclic graph, Eccentric connectivity index http://ijmsi.ir/article-1-891-en.html http://ijmsi.ir/article-1-891-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 11 1 2016 4 1 ABSTRACTS IN PERSIAN - Vol. 11, No. 1 145 157 EN Name of Authors In This Volume Tarbiat Modares University, Jahade Daneshgahi fatemh.bardestani@gmail.com Please see the full text contains the Pesian abstracts for this volume. ABSTRACTS, PERSIAN, Vol. 11, No. 1 http://ijmsi.ir/article-1-898-en.html http://ijmsi.ir/article-1-898-en.pdf