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
malek.abbasi@sci.ui.ac.ir
M.
Rezaei
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
pouri@tabrizu.ac.ir
F.
Pashaie
S.
Tajbakhsh
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
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
13
2
2018
10
1
On Generalizations of Hadamard Inequalities for Fractional Integrals
71
81
EN
Gh.
Farid
A.
Ur Rehman
M.
Zahra
Fej'{e}r Hadamard inequality is generalization of Hadamard inequality. In this paper we prove certain Fej'{e}r Hadamard inequalities for $k$-fractional integrals.
We deduce Fej'{e}r Hadamard-type inequalities for Riemann-Liouville fractional integrals. Also as special case Hadamard inequalities for $k$-fractional as well as fractional integrals are given.
Convex functions, Hermite-Hadamard inequalities, Fej'{e}r Hadamard inequality, Riemann-Liouville fractional integrals
http://ijmsi.ir/article-1-826-en.html
http://ijmsi.ir/article-1-826-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
13
2
2018
10
1
Vector Space semi-Cayley Graphs
83
91
EN
B.
Tolue
Department of Mathematics,Hakim Sabzevari University
b.tolue@gmail.com
The original aim of this paper is to construct a graph associated to a vector space. By inspiration of the classical definition for the Cayley graph related to a group we define Cayley graph of a vector space. The vector space Cayley graph ${rm Cay(mathcal{V},S)}$ is a graph with the vertex set the whole vectors of the vector space $mathcal{V}$ and two vectors $v_1,v_2$ join by an edge whenever $v_1-v_2in S$ or $-S$, where $S$ is a basis of $mathcal{V}$. This fact causes a new connection between vector spaces and graphs. The vector space Cayley graph is made of copies of the cycles of length $t$, where $t$ is the cardinal number of the field that $mathcal{V}$ is constructed over it. The vector space Cayley graph is generalized to the graph $Gamma(mathcal{V},S)$. It is a graph with vertex set whole vectors of $mathcal{V}$ and two vertices $v$ and $w$ are adjacent whenever $c_{1}upsilon+ c_{2}omega = sum^{n}_{i=1} alpha_{i}$, where $S={alpha_1,cdots,alpha_n}$ is an ordered basis for $mathcal{V}$ and $c_1,c_2$ belong to the field that the vector space $mathcal{V}$ is made of over. It is deduced that if $ S'$ is another basis for $mathcal{V}$ which is constructed by special invertible matrix $P$, then $Gamma(mathcal{V},S)cong Gamma(mathcal{V},S')$.
Cayley graph, Vector space, Basis
http://ijmsi.ir/article-1-817-en.html
http://ijmsi.ir/article-1-817-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
13
2
2018
10
1
Fractal Dimension of Graphs of Typical Continuous Functions on Manifolds
93
99
EN
R.
Mirzaie
r.mirzaei@sci.ikiu.ac.ir
If M is a compact Riemannian manifold then we show that for typical continuous function defined on M, the upper box dimension of graph(f)
is as big as possible and the lower box dimension of graph(f) is as small as possible.
Manifold, Fractal, Box dimension
http://ijmsi.ir/article-1-833-en.html
http://ijmsi.ir/article-1-833-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
13
2
2018
10
1
On I-statistical Convergence
101
109
EN
Sh.
Debnath
Tripura University
shyamalnitamath@gmail.com
D.
Rakshit
Tripura University
debjanirakshit88@gmail.com
In the present paper, we investigate the notion of I -statistical convergence
and introduce I -st limit points and I -st cluster points of real number sequence and also
studied some of its basic properties.
I -limit point, I -cluster point, I -statistically convergent
http://ijmsi.ir/article-1-847-en.html
http://ijmsi.ir/article-1-847-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
13
2
2018
10
1
A Numerical Scheme for Solving Nonlinear Fractional Volterra Integro-Differential Equations
111
132
EN
P.
Rahimkhani
Alzahra University
Y.
Ordokhani
E.
Babolian
In this paper, a Bernoulli pseudo-spectral method for solving
nonlinear fractional Volterra integro-differential equations is considered.
First existence of a unique solution for the problem under study is proved.
Then the Caputo fractional derivative and Riemman-Liouville fractional
integral properties are employed to derive the new approximate formula
for unknown function of the problem. The suggested technique transforms
these types of equations to the solution of systems of algebraic equations.
In the next step, the error analysis of the proposed method is investigated.
Finally, the technique is applied to some problems to show its validity and
applicability.
Fractional Volterra integro-differential equations, Bernoulli pseudo- spectral method, Caputo derivative.
http://ijmsi.ir/article-1-868-en.html
http://ijmsi.ir/article-1-868-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
13
2
2018
10
1
Isoclinic Classification of Some Pairs $(G,G\')$ of $p$-Groups
133
142
EN
S.
Kayvanfar
Department of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran
skayvanf@um.ac.ir
A.
Kaheni
Department of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran
azamkaheni@yahoo.com
The equivalence relation isoclinism partitions the class of all pairs of groups into families. In this paper, a complete classification of the set of all pairs $(G,G')$ is established, whenever $G$ is a $p$-group of order at most $p^5$ and $p$ is a prime number greater than 3. Moreover, the classification of pairs $(H,H')$ for extra special $p$-groups $H$ is also given.
Pairs of groups, Isoclinism, Classification of $p$-groups
http://ijmsi.ir/article-1-858-en.html
http://ijmsi.ir/article-1-858-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
13
2
2018
10
1
Extended Jacobi and Laguerre Functions and their Applications
143
161
EN
M.R.
Eslahchi
A.
Abedzadeh
The aim of this paper is to introduce two new extensions of the Jacobi and Laguerre
polynomials as the eigenfunctions of two non-classical Sturm-Liouville problems. We
prove some important properties of these operators such as: These sets of functions are
orthogonal with respect to a positive de nite inner product de ned over the compact
intervals [-1, 1] and [0,1), respectively and also these sequences form two new orthog-
onal bases for the corresponding Hilbert spaces. Finally, the spectral and Rayleigh-Ritz
methods are carry out using these basis functions to solve some examples. Our nu-
merical results are compared with other existing results to con rm the eciency and
accuracy of our method.
Sturm-Liouville theory, Orthogonal polynomials, Ordinary dierential equations, Non-classical Sturm-Liouville problems, Spectral method, Collocation method, Galerkin.
http://ijmsi.ir/article-1-916-en.html
http://ijmsi.ir/article-1-916-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
13
2
2018
10
1
On Almost n-Layered QTAG-modules
163
171
EN
A.
Hasan
Jazan University, KSA
ayaz.maths@gmail.com
We define the notion of almost $n$-layered $QTAG$-modules and study their basic properties. One of the main result is that almost 1-layered modules are almost $(omega+1)$-projective exactly when they are almost direct sum of countably generated modules of length less than or equal to $(omega+1)$. Some other characterizations of this new class are also established.
$QTAG$-modules, Almost $Sigma$-uniserial modules, Almost $(omega+n)$-projective modules, Almost 1-layered modules.
http://ijmsi.ir/article-1-870-en.html
http://ijmsi.ir/article-1-870-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
13
2
2018
10
1
ABSTRACTS IN PERSIAN Vol.13, No.2
173
186
EN
The Name of Authors
In This Volume
fatemeh.bardestani@gmail.com
Please see the full text contains the Pesian abstracts for this volume.
ABSTRACTS, PERSIAN, Vol. 13, No. 2
http://ijmsi.ir/article-1-1513-en.html
http://ijmsi.ir/article-1-1513-en.pdf