@article{ author = {}, title = {COMPUTING WIENER INDEX OF HAC5C7[p, q] NANOTUBES BY GAP PROGRAM}, abstract ={The Wiener index of a graph Gis defined as W(G) =1/2[Sum(d(i,j)] over all pair of elements of V(G), where V (G) is the set of vertices of G and d(i, j) is the distance between vertices i and j. In this paper, we give an algorithm by GAP program that can be compute the Wiener index for any graph also we compute the Wiener index of HAC5C7[p, q] and HAC5C6C7[p, q] nanotubes by this program.}, Keywords = {Nanotube, Wiener Index, Adjacent Vertices.}, volume = {3}, Number = {1}, pages = {1-12}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2008.01.001}, url = {http://ijmsi.ir/article-1-40-en.html}, eprint = {http://ijmsi.ir/article-1-40-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2008} } @article{ author = {}, title = {Nonrigid Group Theory of Water Clusters ( Cyclic Forms): (H2O)i for 2<=i<=6}, abstract ={The character table of the fully nonrigid water cluster (cyclic forms), (H_{2}O){_i}, with C{_ih} symmetry derived for the first time, for 2<=i <=6. The group of all feasible permutations is the wreath product of groups S{_i}[S{_2}] which consists of i!2i operations for i = 2, ..., 6 divided into ( w.r.t) 5, 10, 20, 36, 65 conjugacy classes and 5, 10, 20, 36, 65 irreducible representations respectively. We compute the full character table of (H{_2}O){_2}, (H{_2}O){_3}, (H{_2}O){_4}, (H{_2}O){_5} and (H{_2}O){_6}.}, Keywords = {Nonrigid Group Theory, Symmetry, Wreath Product, Conjugacy Classes, Character Table, Water Cluster.}, volume = {3}, Number = {1}, pages = {13-30}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2008.01.002}, url = {http://ijmsi.ir/article-1-41-en.html}, eprint = {http://ijmsi.ir/article-1-41-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2008} } @article{ author = {}, title = {Edge-Szeged and vertex-PIindices of Some Benzenoid Systems}, abstract ={The edge version of Szeged index and vertex version of PI index are defined very recently. They are similar to edge-PI and vertex-Szeged indices, respectively. The different versions of Szeged and PIindices are the most important topological indices defined in Chemistry. In this paper, we compute the edge-Szeged and vertex-PIindices of some important classes of benzenoid systems.}, Keywords = {Edge and Vertex-Szeged indices, Edge and Vertex-PI indices, Benzenoid Systems.}, volume = {3}, Number = {1}, pages = {31-39}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2008.01.003}, url = {http://ijmsi.ir/article-1-42-en.html}, eprint = {http://ijmsi.ir/article-1-42-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2008} } @article{ author = {}, title = {The Merrifield-Simmons indices and Hosoya indices of some classes of cartesian graph product}, abstract ={The Merrifield-Simmons index of a graph is defined as the total number of the independent sets of the graph and the Hosoya index of a graph is defined as the total number of the matchings of the graph. In this paper, we give formula for Merrifield-Simmons and Hosoya indices of some classes of cartesian product of two graphs K{_2}×H, where H is a path graph P{_n}, cyclic graph C{_n}, or star graph S{_n}, with n vertices (These are called: ladder graph, prism graph, and book graph).}, Keywords = {Merrifield-Simmons index, Hosoya index, Cartesian graph product, Ladder graph, Prism graph.}, volume = {3}, Number = {1}, pages = {41-48}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2008.01.004}, url = {http://ijmsi.ir/article-1-43-en.html}, eprint = {http://ijmsi.ir/article-1-43-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2008} } @article{ author = {}, title = {Vertex-PI Index of Some Nanotubes}, abstract ={The vertex version of PI index is a molecular structure descriptor which is similar to vertex version of Szeged index. In this paper, we compute the vertex-PI index of TUC4C8(S), TUC4C8(R) and HAC5C7[r, p].}, Keywords = {Vertex-PI Index, Vertex-Szeged index, Molecular Graph, Nanotubes.}, volume = {3}, Number = {1}, pages = {49-62}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2008.01.005}, url = {http://ijmsi.ir/article-1-44-en.html}, eprint = {http://ijmsi.ir/article-1-44-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2008} } @article{ author = {}, title = {Some implementation aspects of the general linear methods withinherent Runge-Kutta stability}, abstract ={In this paper we try to put different practical aspects of the general linear methods discussed in the papers [1,6,7] under one algorithm to show more details of its implementation. With a proposed initial step size strategy this algorithm shows a better performance in some problems. To illustrate the efficiency of the method we consider some standard test problems and report more useful details of step size and order changes, and number of rejected and accepted steps along with relative global errors.}, Keywords = {General linear methods, Variable step size, Inherent Runge-Kutta stability, Error estimation.}, volume = {3}, Number = {1}, pages = {63-76}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2008.01.006}, url = {http://ijmsi.ir/article-1-45-en.html}, eprint = {http://ijmsi.ir/article-1-45-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2008} } @article{ author = {}, title = {A fuzzy production model with probabilistic resalable returns}, abstract ={In this paper, a fuzzy production inventory model with resalable returns has been analysed in an imprecise and uncertain environment by considering the cost and revenue parameters as trapezoidal fuzzy numbers. The main objective is to determine the optimal fuzzy production lotsize which maximizes the expected profit where the products leftout at the end of the period are salvaged and demands which are not met directly are lost. The modified graded mean integration epresentation method is used for defuzzification of fuzzy parameters of production lotsize and expected profit. An example is presented to illustrate the method applied in the model.}, Keywords = {Fuzzy production model, Fuzzy random variable, Modified graded mean integration representation, Returned resalable products, Trapezoidal fuzzy numbers.}, volume = {3}, Number = {1}, pages = {77-86}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2008.01.007}, url = {http://ijmsi.ir/article-1-46-en.html}, eprint = {http://ijmsi.ir/article-1-46-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2008} } @article{ author = {}, title = {The explicit relation among the edge versions of detour index}, abstract ={The vertex version of detour index was defined during the works on connected graph in chemistry. The edge versions of detour index have been introduced ecently. In this paper, the explicit relations among edge versions of detour index have been declared and due to these relations, we compute the edge detour indices for some well-known graphs.}, Keywords = {Vertex detour index, Edge detour indices, Molecular graph.}, volume = {3}, Number = {2}, pages = {1-12}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2008.02.001}, url = {http://ijmsi.ir/article-1-47-en.html}, eprint = {http://ijmsi.ir/article-1-47-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2008} } @article{ author = {}, title = {Application of He’s homotopy perturbation method for Schrodinger equation}, abstract ={In this paper, He’s homotopy perturbation method is applied to solve linear Schrodinger equation. The method yields solutions in convergent series forms with easily computable terms. The result show that these method is very convenient and can be applied to large class of problems. Some numerical examples are given to effectiveness of the method.}, Keywords = {He’s homotopy perturbation method, Linear Schrodinger equations.}, volume = {3}, Number = {2}, pages = {13-19}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2008.02.002}, url = {http://ijmsi.ir/article-1-51-en.html}, eprint = {http://ijmsi.ir/article-1-51-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2008} } @article{ author = {}, title = {On Two Methods for Computing the Non-Rigid Group of Molecules}, abstract ={In this paper, two methods are described, by means of which it is possible to calculate the non rigid group of molecules consisting of a number of XH3 groups attached to a rigid framework. The first method is a combination of the wreath product formalism of Balasubramanian and modern computer algebra and the second method is a computational approach by using group theory package GAP. We apply these methods on 2,3,6,7,10,11-hexanitrotriphenylene (HNT) to compute its non-rigid group.}, Keywords = {Non-rigid group, the Computer Algebra System GAP, Character table, HNT.}, volume = {3}, Number = {2}, pages = {21-28}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2008.02.003}, url = {http://ijmsi.ir/article-1-53-en.html}, eprint = {http://ijmsi.ir/article-1-53-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2008} } @article{ author = {}, title = {Some result on simple hyper K-algebras}, abstract ={A simple method is described, to prove some theorems for simple hyper K-algebras and to study positive implicative hyper K-ideals, weak (implicative ) hyper K-ideals in simple hyper K-algebras . Beside, some results on positive implicative and (weak) implicative simple hyper K-algebras are presented. Finally classification of simple hyper Kalgebras of order 4, which are satisfied in conditions of Theorem 3.29, is going to be calculated .}, Keywords = {Hyper K-algebra, Simple hyper K-algebra, (weak)Hyper K-ideal, Positive implicative hyper K-ideal, (weak) Implicative hyper K-ideal.}, volume = {3}, Number = {2}, pages = {29-48}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2008.02.004}, url = {http://ijmsi.ir/article-1-54-en.html}, eprint = {http://ijmsi.ir/article-1-54-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2008} } @article{ author = {}, title = {Quasi-Exact Sequence and Finitely Presented Modules}, abstract ={The notion of quasi-exact sequence of modules was introduced by B. Davvaz and coauthors in 1999 as a generalization of the notion of exact sequence. In this paper we investigate further this notion. In particular, some interesting results concerning this concept and torsion functor are given.}, Keywords = {Quasi-exact sequence, Finitely presented module, Torsion functor.}, volume = {3}, Number = {2}, pages = {49-53}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2008.02.005}, url = {http://ijmsi.ir/article-1-48-en.html}, eprint = {http://ijmsi.ir/article-1-48-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2008} } @article{ author = {}, title = {The Polynomials of a Graph}, abstract ={In this paper, we are presented a formula for the polynomial of a graph. Our main result is the following formula: [Sum (d{_u}(k))]=[Sum (a{_kj}{S{_G}^j}(1))], where, u is an element of V(G) and 1<=j<=k.}, Keywords = {Graph, Polynomial, Graphical sequence.}, volume = {3}, Number = {2}, pages = {55-67}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2008.02.006}, url = {http://ijmsi.ir/article-1-50-en.html}, eprint = {http://ijmsi.ir/article-1-50-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2008} } @article{ author = {}, title = {Median and Center of Zero-Divisor Graph of Commutative Semigroups}, abstract ={For a commutative semigroup S with 0, the zero-divisor graph of S denoted by ;Gamma(S) is the graph whose vertices are nonzero zero-divisor of S, and two vertices x, y are adjacent in case xy = 0 in S. In this paper we study median and center of this graph. Also we show that if Ass(S) has more than two elements, then the girth of ;Gamma(S) is three.}, Keywords = {Commutative semigroup, Zero-divisor graph, Center of a graph, Median of a graph.}, volume = {3}, Number = {2}, pages = {69-76}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2008.02.007}, url = {http://ijmsi.ir/article-1-52-en.html}, eprint = {http://ijmsi.ir/article-1-52-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2008} } @article{ author = {}, title = {Superminimal fibres in an almost contact metric submersion}, abstract ={The superminimality of the fibres of an almost contact metric submersion is used to study the integrability of the horizontal distribution and the structure of the total space.}, Keywords = {Almost contact metric submersion, Almost contact metric manifold, Superminimal submanifold, Riemannian submersions.}, volume = {3}, Number = {2}, pages = {77-88}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2008.02.008}, url = {http://ijmsi.ir/article-1-49-en.html}, eprint = {http://ijmsi.ir/article-1-49-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2008} }