@article{ author = {Saraj, M. and Safaei, N.}, title = {Integrating Goal Programming, Taylor Series, Kuhn-Tucker Conditions, and Penalty Function Approaches to Solve Linear Fractional Bi-level Programming Problems}, abstract ={In this paper, we integrate goal programming (GP), Taylor Series, Kuhn-Tucker conditions and Penalty Function approaches to solve linear fractional bi-level programming (LFBLP)problems. As we know, the Taylor Series is having the property of transforming fractional functions to a polynomial. In the present article by Taylor Series we obtain polynomial objective functions which are equivalent to fractional objective functions. Then on using the Kuhn-Tucker optimality condition of the lower level problem, we transform the linear bilevel programming problem into a corresponding single level programming. The complementary and slackness condition of the lower level problem is appended to the upper level objective with a penalty, that can be reduce to a single objective function. In the other words, suitable transformations can be applied to formulate FBLP problems. Finally a numerical example is given to illustrate the complexity of the procedure to the solution.}, Keywords = {Bi-level programming, Fractional programming, Taylor Series, Kuhn-Tucker conditions, Goal programming, Penalty function.}, volume = {10}, Number = {1}, pages = {1-10}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2015.01.001}, url = {http://ijmsi.ir/article-1-281-en.html}, eprint = {http://ijmsi.ir/article-1-281-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2015} } @article{ author = {Emami, M. and pedram, L.}, title = {Optimal Linear Codes Over GF(7) and GF(11) with Dimension 3}, abstract ={Let $n_q(k,d)$ denote the smallest value of $n$ for which there exists a linear $[n,k,d]$-code over the Galois field $GF(q)$. An $[n,k,d]$-code whose length is equal to $n_q(k,d)$ is called {em optimal}. In this paper we present some matrix generators for the family of optimal $[n,3,d]$ codes over $GF(7)$ and $GF(11)$. Most of our given codes in $GF(7)$ are non-isomorphic with the codes presented before. Our given codes in $GF(11)$ are all new.}, Keywords = {Linear codes, Optimal codes, Griesmer bound.}, volume = {10}, Number = {1}, pages = {11-22}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2015.01.002}, url = {http://ijmsi.ir/article-1-384-en.html}, eprint = {http://ijmsi.ir/article-1-384-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2015} } @article{ author = {Rezaeezadeh, G. R. and Darafsheh, M. R. and Bibak, M. and Sajadi, M.}, title = {OD-characterization of Almost Simple Groups Related to displaystyle D4(4)}, abstract ={Let $G$ be a finite group and $pi_{e}(G)$ be the set of orders of all elements in $G$. The set $pi_{e}(G)$ determines the prime graph (or Grunberg-Kegel graph) $Gamma(G)$ whose vertex set is $pi(G)$, the set of primes dividing the order of $G$, and two vertices $p$ and $q$ are adjacent if and only if $pqinpi_{e}(G)$. The degree $deg(p)$ of a vertex $pin pi(G)$, is the number of edges incident on $p$. Let $pi(G)={p_{1},p_{2},...,p_{k}}$ with $p_{1}}, Keywords = {Degree pattern, $k$-fold OD-characterizable, Almost simple group.}, volume = {10}, Number = {1}, pages = {23-43}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2015.01.003}, url = {http://ijmsi.ir/article-1-382-en.html}, eprint = {http://ijmsi.ir/article-1-382-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2015} } @article{ author = {Abbasi, A. and Roshan-Shekalgourabi, H. and Hassanzadeh-Lelekaami, D.}, title = {Associated Graphs of Modules Over Commutative Rings}, abstract ={Let $R$ be a commutative ring with identity and let $M$ be an $R$-module. In this paper we introduce a new graph associated to modules over commutative rings. We study the relationship between the algebraic properties of modules and their associated graphs. A topological characterization for the completeness of the special subgraphs is presented. Also modules whose associated graph is complete, tree or complete bipartite are studied and several characterizations are given.}, Keywords = {Associated Graph of module, Prime spectrum, Connected graph, Diameter.}, volume = {10}, Number = {1}, pages = {45-58}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2015.01.004}, url = {http://ijmsi.ir/article-1-418-en.html}, eprint = {http://ijmsi.ir/article-1-418-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2015} } @article{ author = {AkbariTootkaboni, M.}, title = {Filters and the Weakly Almost Periodic Compactification of a Semitopological Semigroup}, abstract ={Let $S$ be a semitopological semigroup. The $wap-$ compactification of semigroup S, is a compact semitopological semigroup with certain universal properties relative to the original semigroup, and the $Lmc-$ compactification of semigroup $S$ is a universal semigroup compactification of $S$, which are denoted by $S^{wap}$ and $S^{Lmc}$ respectively. In this paper, an internal construction of the $wap-$compactification of a semitopological semigroup is constructed as a space of $z-$filters. Also we obtain the cardinality of $S^{wap}$ and show that if $S^{wap}$ is the one point compactification then $(S^{Lmc}-S)*S^{Lmc}$ is dense in $S^{Lmc}-S$.}, Keywords = {Semigroup compactification, $Lmc$-compactification, $wap$-compactification, $z$-filter.}, volume = {10}, Number = {1}, pages = {59-80}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2015.01.005}, url = {http://ijmsi.ir/article-1-437-en.html}, eprint = {http://ijmsi.ir/article-1-437-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2015} } @article{ author = {KuchakiRafsanjani, M. and Dowlatshahi, M. B. and Nezamabadi-Pour, H.}, title = {Gravitational Search Algorithm to Solve the K-of-N Lifetime Problem in Two-Tiered WSNs}, abstract ={Wireless Sensor Networks (WSNs) are networks of autonomous nodes used for monitoring an environment. In designing WSNs, one of the main issues is limited energy source for each sensor node. Hence, offering ways to optimize energy consumption in WSNs which eventually increases the network lifetime is strongly felt. Gravitational Search Algorithm (GSA) is a novel stochastic population-based meta-heuristic that has been successfully designed for solving continuous optimization problems. GSA has a flexible and well-balanced mechanism to enhance intensification (intensively explore areas of the search space with high quality solutions) and diversification (move to unexplored areas of the search space when necessary) abilities. In this paper, we will propose a GSA-based method for near-optimal positioning of Base Station (BS) in heterogeneous two-tiered WSNs, where Application Nodes (ANs) may own different data transmission rates, initial energies and parameter values. Here, we treat with the problem of positioning of BS in heterogeneous two-tiered WSNs as a continuous optimization problem and show that proposed GSA can locates the BS node in an appropriate near-optimal position of heterogeneous WSNs. From the experimental results, it can be easily concluded that the proposed approach finds the better location when compared to the PSO algorithm and the exhaustive search.}, Keywords = {Wireless sensor network (WSN), Two-tiered WSNs, Base station location, Energy consumption, Network lifetime, Gravitational search algorithm (GSA).}, volume = {10}, Number = {1}, pages = {81-93}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2015.01.006}, url = {http://ijmsi.ir/article-1-333-en.html}, eprint = {http://ijmsi.ir/article-1-333-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2015} } @article{ author = {Ghareghani, N. and Manoochehrian, B. and Mohammad-Noori, M.}, title = {Distance-Balanced Closure of Some Graphs}, abstract ={In this paper we prove that any distance-balanced graph $G$ with $Delta(G)geq |V(G)|-3$ is regular. Also we define notion of distance-balanced closure of a graph and we find distance-balanced closures of trees $T$ with $Delta(T)geq |V(T)|-3$.}, Keywords = {Distances in graphs, Distance-balanced graphs, Distance-balanced closure.}, volume = {10}, Number = {1}, pages = {95-102}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2015.01.007}, url = {http://ijmsi.ir/article-1-714-en.html}, eprint = {http://ijmsi.ir/article-1-714-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2015} } @article{ author = {SivaMala, M. and SivaPrasad, K.}, title = {($phi,rho$)-Representation of $Gamma$-So-Rings}, abstract ={A $Gamma$-so-ring is a structure possessing a natural partial ordering, an infinitary partial addition and a ternary multiplication, subject to a set of axioms. The partial functions under disjoint-domain sums and functional composition is a $Gamma$-so-ring. In this paper we introduce the notions of subdirect product and $(phi,rho)$-product of $Gamma$-so-rings and study $(phi,rho)$-representation of $Gamma$-so-rings.}, Keywords = {Subdirectly irreducible $Gamma$-so-ring, Subdirect product, $(phi,rho)$-product of $Gamma_i$-so-rings, $(phi,rho)$-representation of a $Gamma$-so-ring.}, volume = {10}, Number = {1}, pages = {103-119}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2015.01.008}, url = {http://ijmsi.ir/article-1-465-en.html}, eprint = {http://ijmsi.ir/article-1-465-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2015} } @article{ author = {Varela, M. T.}, title = {On Barycentric-Magic Graphs}, abstract ={Let $A$ be an abelian group. A graph $G=(V,E)$ is said to be $A$-barycentric-magic if there exists a labeling $l:E(G)longrightarrow Asetminuslbrace{0}rbrace$ such that the induced vertex set labeling $l^{+}:V(G)longrightarrow A$ defined by $l^{+}(v)=sum_{uvin E(G)}l(uv)$ is a constant map and also satisfies that $l^{+}(v)=deg(v)l(u_{v}v)$ for all $v in V$, and for some vertex $u_{v}$ adjacent to $v$. In this paper we determine all $hinmathbb{N}$ for which a given graph G is $mathbb{Z}_{h}$-barycentric-magic and characterize $mathbb{Z}_{h}$-barycentric-magic labeling for some graphs containing vertices of degree 2 and 3.}, Keywords = {Magic graph, Barycentric sequences, Barycentric magic graph.}, volume = {10}, Number = {1}, pages = {121-129}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2015.01.009}, url = {http://ijmsi.ir/article-1-487-en.html}, eprint = {http://ijmsi.ir/article-1-487-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2015} } @article{ author = {Payrovi, Sh. and Babaei, S.}, title = {On the 2-absorbing Submodules}, abstract ={Let $R$ be a commutative ring and $M$ be an $R$-module. In this paper, we investigate some properties of 2-absorbing submodules of $M$. It is shown that $N$ is a 2-absorbing submodule of $M$ if and only if whenever $IJLsubseteq N$ for some ideals $I,J$ of R and a submodule $L$ of $M$, then $ILsubseteq N$ or $JLsubseteq N$ or $IJsubseteq N:_RM$. Also, if $N$ is a 2-absorbing submodule of $M$ and $M/N$ is Noetherian, then a chain of 2-absorbing submodules of $M$ is constructed. Furthermore, the annihilation of $E(R/frak p)$ is studied whenever $0$ is a 2-absorbing submodule of $E(R/frak p)$, where $frak p$ is a prime ideal of $R$ and $E(R/frak p)$ is an injective envelope of $R/frak p$.}, Keywords = {2-absorbing ideal, 2-absorbing submodule, A chain of 2-absorbing submodule.}, volume = {10}, Number = {1}, pages = {131-137}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2015.01.010}, url = {http://ijmsi.ir/article-1-512-en.html}, eprint = {http://ijmsi.ir/article-1-512-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2015} } @article{ author = {Patil, H. P. and Raja, V.}, title = {On Tensor Product of Graphs, Girth and Triangles}, abstract ={The purpose of this paper is to obtain a necessary and sufficient condition for the tensor product of two or more graphs to be connected, bipartite or eulerian. Also, we present a characterization of the duplicate graph $G 1 K_2$ to be unicyclic. Finally, the girth and the formula for computing the number of triangles in the tensor product of graphs are worked out.}, Keywords = {Tensor product, Bipartite graph, Connected graph, Eulerian graph, Girth, Cycle, Path.}, volume = {10}, Number = {1}, pages = {139-147}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2015.01.011}, url = {http://ijmsi.ir/article-1-581-en.html}, eprint = {http://ijmsi.ir/article-1-581-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2015} } @article{ author = {Nuray, F. and Patterson, R. F.}, title = {Epi-Cesaro Convergence}, abstract ={Since the turn of the century there have been several notions of convergence for subsets of metric spaces appear in the literature. Appearing in as a subset of these notions is the concepts of epi-convergence. In this paper we peresent definitions of epi-Cesaro convergence for sequences of lower semicontinuous functions from $X$ to $[-infty,infty]$ and Kuratowski Cesaro convergence of sequences of sets. Also we characterize the connection between epi-Cesaro convergence of sequences of functions and Kuratowski Cesaro convergence of their epigarphs.}, Keywords = {Cesaro convergence, Epi-convergence, Epi-Cesaro convergence, Lower semicontinuous function.}, volume = {10}, Number = {1}, pages = {149-155}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2015.01.012}, url = {http://ijmsi.ir/article-1-639-en.html}, eprint = {http://ijmsi.ir/article-1-639-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2015} } @article{ author = {inThisVolume, Name of Authors}, title = {ABSTRACTS IN PERSIAN - Vol. 10, No. 1}, abstract ={Please see the full text contains the Pesian abstracts for this volume.}, Keywords = {}, volume = {10}, Number = {1}, pages = {157-169}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, url = {http://ijmsi.ir/article-1-841-en.html}, eprint = {http://ijmsi.ir/article-1-841-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2015} } @article{ author = {HashemiBorzabadi, A. and Heidari, M.}, title = {A Successive Numerical Scheme for Some Classes of Volterra-Fredholm Integral Equations}, abstract ={In this paper, a reliable iterative approach, for solving a wide range of linear and nonlinear Volterra-Fredholm integral equations is established. First the approach considers a discretized form of the integral terms where considering some conditions on the kernel of the integral equation it is proved that solution of the discretized form converges to the exact solution of the problem. Then the solution of the discretized form is approximated by an iterative scheme. Comparison of the approximate solution with exact solution shows that the used approach is easy and practical for some classes of linear and nonlinear Volterra-Fredholm integral equations.}, Keywords = {Volterra-Fredholm integral equation, Discretization, Approximation.}, volume = {10}, Number = {2}, pages = {1-10}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2015.02.001}, url = {http://ijmsi.ir/article-1-793-en.html}, eprint = {http://ijmsi.ir/article-1-793-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2015} } @article{ author = {Kanzi, N.}, title = {Mangasarian-Fromovitz and Zangwill Conditions For Non-Smooth Infinite Optimization problems in Banach Spaces}, abstract ={In this paper we study optimization problems with infinite many inequality constraints on a Banach space where the objective function and the binding constraints are Lipschitz near the optimal solution. Necessary optimality conditions and constraint qualifications in terms of Michel-Penot subdifferential are given.}, Keywords = {Infinite programming, Constraint qualification, Optimality conditions, Michel-Penot subdifferential.}, volume = {10}, Number = {2}, pages = {11-22}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2015.02.002}, url = {http://ijmsi.ir/article-1-421-en.html}, eprint = {http://ijmsi.ir/article-1-421-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2015} } @article{ author = {SheikhHosseini, A.}, title = {A Generalized Singular Value Inequality for Heinz Means}, abstract ={In this paper we will generalize a singular value inequality that was proved before. In particular we obtain an inequality for numerical radius as follows: begin{equation*} 2 sqrt{t (1-t)} omega(t A^{nu}B^{1-nu}+(1-t)A^{1-nu}B^{nu}) leq omega(t A + (1- t) B), end{equation*} where, $ A $ and $ B $ are positive semidefinite matrices, $ 0 leq t leq 1 $ and $ 0 leq nu leq frac{3}{2}.$}, Keywords = {Matrix monotone functions, Numerical radius, Singular values, Unitarily invariant norms.}, volume = {10}, Number = {2}, pages = {23-27}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2015.02.003}, url = {http://ijmsi.ir/article-1-464-en.html}, eprint = {http://ijmsi.ir/article-1-464-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2015} } @article{ author = {Borzooei, R. A. and SaidiGoraghani, S.}, title = {Free Extended BCK-Module}, abstract ={In this paper, by considering the notion of extended BCK-module, we define the concepts of free extended BCK-module, free object in category of extended BCK-modules and we state and prove some related results. Specially, we define the notion of idempotent extended BCK-module and we get some important results in free extended BCK-modules. In particular, in category of idempotent extended BCK-modules, we give a method to make a free object on a nonempty set and in BCK-algebra of order 2, we give a method to make a basis for unitary extended BCK-modules. Finally, we define the notions of projective and productive modules and we investigate the relation between free modules and projective modules. In special case, we state the relation between free modules and productive modules.}, Keywords = {BCK-algebra, Extended BCK-module, Free extended BCK-module.}, volume = {10}, Number = {2}, pages = {29-43}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2015.02.004}, url = {http://ijmsi.ir/article-1-470-en.html}, eprint = {http://ijmsi.ir/article-1-470-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2015} } @article{ author = {Filippis, V. De and Rehman, N. Ur and Ansari, A. Z.}, title = {Lie Ideals and Generalized Derivations in Semiprime Rings}, abstract ={Let R be a 2-torsion free ring and L a Lie ideal of R. An additive mapping F : R ! R is called a generalized derivation on R if there exists a derivation d : R to R such that F(xy) = F(x)y + xd(y) holds for all x y in R. In the present paper we describe the action of generalized derivations satisfying several conditions on Lie ideals of semiprime rings.}, Keywords = {Derivations, Generalized Derivations, Semiprime Rings, Lie Ideals. }, volume = {10}, Number = {2}, pages = {45-54}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2015.02.005}, url = {http://ijmsi.ir/article-1-481-en.html}, eprint = {http://ijmsi.ir/article-1-481-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2015} } @article{ author = {ShamsYousefi, M.}, title = {p-Analog of the Semigroup Fourier-Steiltjes Algebras}, abstract ={In  this paper we define the $p$-analog of the restericted reperesentations and also the $p$-analog of the Fourier--Stieltjes algebras on the inverse semigroups . We improve some results about Herz algebras on Clifford semigroups. At the end of this paper we give the necessary and sufficient condition for amenability of these algebras on Clifford semigroups.}, Keywords = {Restricted fourier–Stieltjes algebras, Restricted inverse semigroup, Restricted representations, QSLp-spaces, p-Analog of the Fourier–Stieltjes algebras.}, volume = {10}, Number = {2}, pages = {55-66}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2015.02.006}, url = {http://ijmsi.ir/article-1-413-en.html}, eprint = {http://ijmsi.ir/article-1-413-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2015} } @article{ author = {Emamian, M. H. and Tayebi, A.}, title = {Generalized Douglas-Weyl Finsler Metrics}, abstract ={In this paper, we study generalized Douglas-Weyl Finsler metrics. We find some conditions under which the class of generalized Douglas-Weyl (alpha, beta)-metric with vanishing S-curvature reduce to the class of Berwald metrics.}, Keywords = {Generalized Douglas-Weyl metrics, S-curvature.}, volume = {10}, Number = {2}, pages = {67-75}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2015.02.007}, url = {http://ijmsi.ir/article-1-533-en.html}, eprint = {http://ijmsi.ir/article-1-533-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2015} } @article{ author = {Daghigh, H. and Didari, S.}, title = {On the Elliptic Curves of the Form $y^2 = x^3 − pqx$}, abstract ={‎By the Mordell‎- ‎Weil theorem‎, ‎the group of rational points on an elliptic curve over a number field is a finitely generated abelian group‎. ‎This paper studies the rank of the family Epq:y2=x3-pqx of elliptic curves‎, ‎where p and q are distinct primes‎. ‎We give infinite families of elliptic curves of the form y2=x3-pqx with rank two‎, ‎three and four‎, ‎assuming a conjecture of Schinzel and Sierpinski is true.}, Keywords = {Diophantine equation, Elliptic curves, Mordell weil group, Selmer group, Birch and Swinnerton- dyer conjecture, Parity conjecture.}, volume = {10}, Number = {2}, pages = {77-86}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2015.02.008}, url = {http://ijmsi.ir/article-1-570-en.html}, eprint = {http://ijmsi.ir/article-1-570-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2015} } @article{ author = {Pattabiraman, K. and Kandan, P.}, title = {Generalized Degree Distance of Strong Product of Graphs}, abstract ={In this paper, the exact formulae for the generalized degree distance, degree distance and reciprocal degree distance of strong product of a connected and the complete multipartite graph with partite sets of sizes m0, m1, . . . , mr&minus1 are obtained. Using the results obtained here, the formulae for the degree distance and reciprocal degree distance of the closed and open fence graphs are computed.}, Keywords = {Generalized degree distance, Degree distance, Reciprocal degree distance, Strong product.}, volume = {10}, Number = {2}, pages = {87-98}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2015.02.009}, url = {http://ijmsi.ir/article-1-600-en.html}, eprint = {http://ijmsi.ir/article-1-600-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2015} } @article{ author = {Ghazavi, S. H. and Anvariyeh, S. M. and Mirvakili, S.}, title = {$EL^2$–hyperstructures Derived from (Partially) Quasi Ordered Hyperstructures}, abstract ={In this paper, we introduce a new class of (semi)hypergroup from a given (partially) quasi-ordered (semi)hypergroup as a generalization of {it "$El$--hyperstructures"}. Then, we study some basic properties and important elements belong to this class.}, Keywords = {Ends lemma, El–hyperstructure, (semi)Hypergroup, Partial ordering, Quasi ordering.}, volume = {10}, Number = {2}, pages = {99-114}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2015.02.010}, url = {http://ijmsi.ir/article-1-612-en.html}, eprint = {http://ijmsi.ir/article-1-612-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2015} } @article{ author = {Klavzar, S. and Kosmrlj, G. and Schmidt, S.}, title = {On the Computational Complexity of the Domination Game}, abstract ={The domination game is played on an arbitrary graph $G$ by two players, Dominator and Staller. It is known that verifying whether the game domination number of a graph is bounded by a given integer $k$ is PSPACE-complete. On the other hand, it is showed in this paper that the problem can be solved for a graph $G$ in $mathcal O(Delta(G)cdot |V(G)|^k)$ time. In the special case when $k=3$ and the graph $G$ considered has maximum diameter, the complexity is improved to $mathcal O (|V(G)|cdot |E(G)|+Delta(G)^3)$.}, Keywords = {Domination game, Game domination number, Complexity of algorithms.}, volume = {10}, Number = {2}, pages = {115-122}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2015.02.011}, url = {http://ijmsi.ir/article-1-794-en.html}, eprint = {http://ijmsi.ir/article-1-794-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2015} } @article{ author = {inThisVolume, Name of Authors}, title = {ABSTRACTS IN PERSIAN - Vol. 10, No. 2}, abstract ={Please see the full text contains the Pesian abstracts for this volume.}, Keywords = {vol10, No 2.}, volume = {10}, Number = {2}, pages = {123-134}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, url = {http://ijmsi.ir/article-1-842-en.html}, eprint = {http://ijmsi.ir/article-1-842-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2015} }