2019-11-22T04:22:00+03:30
http://ijmsi.ir/browse.php?mag_id=27&slc_lang=en&sid=1
27-823
2019-11-22
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2018
13
2
Balanced Degree-Magic Labelings of Complete Bipartite Graphs under Binary Operations
Ph.
Inpoonjai
phaisatcha_in@outlook.com
T.
Jiarasuksakun
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.
2018
10
01
1
13
http://ijmsi.ir/article-1-823-en.pdf
27-729
2019-11-22
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2018
13
2
New Approaches to Duals of Fourier-like Systems
E.
Osgooei
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.
2018
10
01
15
27
http://ijmsi.ir/article-1-729-en.pdf
27-792
2019-11-22
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2018
13
2
Existence Results for Generalized ε-Vector Equilibrium Problems
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.
2018
10
01
29
43
http://ijmsi.ir/article-1-792-en.pdf
27-796
2019-11-22
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2018
13
2
Szeged Dimension and $PI_v$ Dimension of Composite Graphs
Y.
Alizadeh
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.
2018
10
01
45
57
http://ijmsi.ir/article-1-796-en.pdf
27-816
2019-11-22
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2018
13
2
L_1-Biharmonic Hypersurfaces in Euclidean Spaces with Three Distinct Principal Curvatures
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
2018
10
01
59
70
http://ijmsi.ir/article-1-816-en.pdf
27-826
2019-11-22
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2018
13
2
On Generalizations of Hadamard Inequalities for Fractional Integrals
Gh.
Farid
A.
Ur Rehman
M.
Zahra
Fejer Hadamard inequality is generalization of Hadamard inequality. In this paper we prove certain Fejer Hadamard inequalities for k-fractional integrals.
We deduce Fejer 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
Fejer Hadamard inequality
Riemann-Liouville fractional integrals
2018
10
01
71
81
http://ijmsi.ir/article-1-826-en.pdf
27-817
2019-11-22
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2018
13
2
Vector Space semi-Cayley Graphs
B.
Tolue
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.
2018
10
01
83
91
http://ijmsi.ir/article-1-817-en.pdf
27-833
2019-11-22
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2018
13
2
Fractal Dimension of Graphs of Typical Continuous Functions on Manifolds
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.
2018
10
01
93
99
http://ijmsi.ir/article-1-833-en.pdf
27-847
2019-11-22
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2018
13
2
On I-statistical Convergence
Sh.
Debnath
shyamalnitamath@gmail.com
D.
Rakshit
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
2018
10
01
101
109
http://ijmsi.ir/article-1-847-en.pdf
27-868
2019-11-22
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2018
13
2
A Numerical Scheme for Solving Nonlinear Fractional Volterra Integro-Differential Equations
P.
Rahimkhani
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.
2018
10
01
111
132
http://ijmsi.ir/article-1-868-en.pdf
27-858
2019-11-22
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2018
13
2
Isoclinic Classification of Some Pairs $(G,G\')$ of $p$-Groups
S.
Kayvanfar
skayvanf@um.ac.ir
A.
Kaheni
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.
2018
10
01
133
142
http://ijmsi.ir/article-1-858-en.pdf
27-916
2019-11-22
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2018
13
2
Extended Jacobi and Laguerre Functions and their Applications
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.
2018
10
01
143
161
http://ijmsi.ir/article-1-916-en.pdf
27-870
2019-11-22
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2018
13
2
On Almost n-Layered QTAG-modules
A.
Hasan
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.
2018
10
01
163
171
http://ijmsi.ir/article-1-870-en.pdf
27-1513
2019-11-22
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2018
13
2
ABSTRACTS IN PERSIAN Vol.13, No.2
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
2018
10
01
173
186
http://ijmsi.ir/article-1-1513-en.pdf