OTHERS_CITABLE The Subtree Size Profile of Bucket Recursive Trees 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. http://ijmsi.ir/article-1-381-en.pdf 2016-04-18T10:20:15 1 11 10.7508/ijmsi.2016.01.001 Bucket recursive tree Subtree size profile Factorial moments. R. Kazemi 1 Imam Khomeini International University AUTHOR
OTHERS_CITABLE Tangent Bundle of the Hypersurfaces in a Euclidean Space 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})\$. http://ijmsi.ir/article-1-430-en.pdf 2016-04-18T10:20:15 13 26 10.7508/ijmsi.2016.01.002 Tangent bundle Hypersurface Kaehler manifold Almost contact structure Killing vector field CR-Submanifold Second fundamental form Wiengarten map. S. Deshmukh shariefd@ksu.edu.sa 1 King Saud University AUTHOR S. B. Al-Shaikh 2 King Saud University AUTHOR
OTHERS_CITABLE Double Integral Characterization for Bergman Spaces ‎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. http://ijmsi.ir/article-1-451-en.pdf 2016-04-18T10:20:15 27 34 10.7508/ijmsi.2016.01.003 Bergman spaces Pseudo-hyperbolic metric Hyperbolic metric Double integral. M. Hassanlou m_hasanloo@tabrizu.ac.ir 1 University of Tabriz‎ AUTHOR H. Vaezi hvaezi@tabrizu.ac.ir 2 ‎Faculty of Mathematical Sciences‎, ‎University of Tabriz‎, ‎Tabriz‎, ‎Iran AUTHOR
OTHERS_CITABLE Convergence of an Approach for Solving Fredholm Functional Integral Equations 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. http://ijmsi.ir/article-1-462-en.pdf 2016-04-18T10:20:15 35 46 10.7508/ijmsi.2016.01.004 Functional integral equation Fredholm Product Nyström method Lagrange interpolation Convergence. N. Aghazadeh aghazadeh@iust.ac.ir 1 Azarbaijan Shahid Madani University AUTHOR S. Fathi 2 Azarbaijan Shahid Madani University AUTHOR
OTHERS_CITABLE The Representations and Positive Type Functions of Some Homogenous Spaces ‎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. http://ijmsi.ir/article-1-482-en.pdf 2016-04-18T10:20:15 47 56 10.7508/ijmsi.2016.01.005 Homogenous space Semidirect product Convolution Involution Representation Irreducible representation. R. Raisi Tousi raisi@.um.ac.ir 1 Ferdowsi University Of Mashhad AUTHOR F. Esmaeelzadeh esmaeelzadeh@bojnourdiau.ac.ir 2 Bojnourd Branch, Islamic Azad University AUTHOR R. A. Kamyabi Gol kamyabi@.um.ac.ir 3 Ferdowsi University Of Mashhad AUTHOR
OTHERS_CITABLE Stability of \$g\$-Frame Expansions 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\$. http://ijmsi.ir/article-1-587-en.pdf 2016-04-18T10:20:15 57 67 10.7508/ijmsi.2016.01.006 g-Frames g-Riesz bases g-Orthonormal bases Dual g-frames. A. Abdollahi abdollahi@shirazu.ac.ir 1 Shiraz University AUTHOR E. Rahimi rahimie@shirazu.ac.ir 2 DepaShiraz Branch, Islamic Azad University AUTHOR
OTHERS_CITABLE An Explicit Viscosity Iterative Algorithm for Finding Fixed Points of Two Noncommutative Nonexpansive Mappings 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.   http://ijmsi.ir/article-1-588-en.pdf 2016-04-18T10:20:15 69 83 10.7508/ijmsi.2016.01.007 General equilibrium problems Strongly positive linear bounded operator α−Inverse strongly monotone mapping Fixed point Hilbert space. H. R. Sahebi sahebi@mail.aiau.ac.ir 1 DepartmenScience and Research Branch, Islamic Azad University AUTHOR A. Razani razani@ipm.ir 2 DepartmentScience and Research Branch, Islamic Azad University AUTHOR
OTHERS_CITABLE On \$(α, β)\$−Linear Connectivity 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. http://ijmsi.ir/article-1-597-en.pdf 2016-04-18T10:20:15 85 100 10.7508/ijmsi.2016.01.008 α−Arc β)−Linear connection degree β)−Linear connectivity Arc β−Separated family Linear connected Path Path connected. F. Ayatollah Zadeh Shirazi fatemah@khayam.ut.ac.ir 1 Faculty of Mathematics, Statistics and Computer Science, ColUniversity of Tehran AUTHOR A. Hosseini a_hosseini@guilan.ac.ir 2 Farhangian University (Pardis Nasibe-Shahid Sherafat branch) AUTHOR
OTHERS_CITABLE Coincidence Points and Common Fixed Points for Expansive Type Mappings in \$b\$-Metric Spaces 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.   http://ijmsi.ir/article-1-620-en.pdf 2016-04-18T10:20:15 101 113 10.7508/ijmsi.2016.01.009 b-Metric space Scalarization function Point of coincidence Common fixed point. S. Kumar Mohanta smwbes@yahoo.in 1 Department of Mathematics,West Bengal State University AUTHOR
OTHERS_CITABLE On Harmonic Index and Diameter of Unicyclic Graphs 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\$. http://ijmsi.ir/article-1-645-en.pdf 2016-04-18T10:20:15 115 122 10.7508/ijmsi.2016.01.010 Harmonic index Diameter Unicyclic graph. J. Amalorpava Jerline jermaths@gmail.com 1 Holy Cross College AUTHOR L. Benedict Michaelraj 2 Joseph’s College AUTHOR
OTHERS_CITABLE Fixed Point Results on \$b\$-Metric Space via Picard Sequences and \$b\$-Simulation Functions 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. http://ijmsi.ir/article-1-684-en.pdf 2016-04-18T10:20:15 123 136 10.7508/ijmsi.2016.01.011 \$b\$-Metric space Partial order Nonlinear contraction Fixed point \$b\$-Simulation function. M. Demma 1 Universit`a degli Studi di Palermo AUTHOR R. Saadati rsaadati@eml.cc 2 Iran University of Science and Technology AUTHOR P. Vetro 3 Universit`a degli Studi di Palermo AUTHOR
OTHERS_CITABLE Tricyclic and Tetracyclic Graphs with Maximum and Minimum Eccentric Connectivity 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\$. http://ijmsi.ir/article-1-891-en.pdf 2016-05-02T10:20:15 137 143 Tricyclic graph Tetracyclic graph Eccentric connectivity index M. Tavakoli M.tavakoly@Alumni.ut.ac.ir 1 Ferdowsi University of Mashhad AUTHOR F. Rahbarnia rahbarnia@um.ac.ir 2 Ferdowsi University of Mashhad AUTHOR A. R Ashrafi ashrafi@kashanu.ac.ir 3 University of Kashan AUTHOR
CASE_STUDY ABSTRACTS IN PERSIAN - Vol. 11, No. 1 Please see the full text contains the Pesian abstracts for this volume. http://ijmsi.ir/article-1-898-en.pdf 2016-05-15T10:20:15 145 157 ABSTRACTS PERSIAN Vol. 11 No. 1 Name of Authors In This Volume fatemh.bardestani@gmail.com 1 Tarbiat Modares University, Jahade Daneshgahi AUTHOR