1
1735-4463
ACECR at Tarbiat Modares University
823
General
Balanced Degree-Magic Labelings of Complete Bipartite Graphs under Binary Operations
Inpoonjai
Ph.
^{
b
}
Jiarasuksakun
T.
^{
c
}
^{
b
}Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi
^{
c
}Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi
1
10
2018
13
2
1
13
26
12
2015
01
06
2016
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.
729
Special
New Approaches to Duals of Fourier-like Systems
Osgooei
E.
^{
d
}
^{
d
}Department of Sciences, Urmia University of Technology, Urmia, Iran.
1
10
2018
13
2
15
27
21
05
2015
06
08
2018
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.
792
General
Existence Results for Generalized ε-Vector Equilibrium Problems
Abbasi
M.
^{
e
}
Rezaei
M.
^{
f
}
^{
e
}university of Isfahan, department of mathematics
^{
f
}university of Isfahan, department of mathematics
1
10
2018
13
2
29
43
23
10
2015
05
01
2016
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.
796
Special
Szeged Dimension and $PI_v$ Dimension of Composite Graphs
Alizadeh
Y.
^{
g
}
^{
g
}Hakim Sabzevary University
1
10
2018
13
2
45
57
28
10
2015
01
06
2016
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.
816
Special
L_1-Biharmonic Hypersurfaces in Euclidean Spaces with Three Distinct Principal Curvatures
Mohammadpouri
A.
^{
h
}
Pashaie
F.
^{
i
}
Tajbakhsh
S.
^{
j
}
^{
h
}Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.
^{
i
}Department of Mathematics, Faculty of Basic Sciences, University of Maragheh.
^{
j
}Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.
1
10
2018
13
2
59
70
14
12
2015
16
10
2016
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.
826
General
On Generalizations of Hadamard Inequalities for Fractional Integrals
Farid
Gh.
^{
k
}
Ur Rehman
A.
^{
l
}
Zahra
M.
^{
m
}
^{
k
}Department of Mathematics COMSATS University Islamabad Attock Campus, Pakistan.
^{
l
}Department of Mathematics COMSATS University Islamabad Attock Campus, Pakistan.
^{
m
}Department of Mathematics COMSATS University Islamabad Attock Campus, Pakistan.
1
10
2018
13
2
71
81
31
12
2015
21
08
2017
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.
817
General
Vector Space semi-Cayley Graphs
Tolue
B.
^{
n
}
^{
n
}Department of Mathematics,Hakim Sabzevari University
1
10
2018
13
2
83
91
15
12
2015
21
12
2016
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 $Gamma(mathcal{V},S)cong Gamma(mathcal{V},S')$.
833
Special
Fractal Dimension of Graphs of Typical Continuous Functions on Manifolds
Mirzaie
R.
^{
o
}
^{
o
}Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University
1
10
2018
13
2
93
99
13
01
2016
18
01
2017
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.
847
General
On I-statistical Convergence
Debnath
Sh.
^{
p
}
Rakshit
D.
^{
}
^{
p
}Tripura University
^{
}Tripura University
1
10
2018
13
2
101
109
04
02
2016
27
09
2017
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.
868
Special
A Numerical Scheme for Solving Nonlinear Fractional Volterra Integro-Differential Equations
Rahimkhani
P.
^{
}
Ordokhani
Y.
^{
}
Babolian
E.
^{
}
^{
}Alzahra University
^{
}Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University
^{
}Department of Computer Science, Faculty of Mathematical Sciences and Computer, Kharazmi University
1
10
2018
13
2
111
132
25
03
2016
08
05
2017
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.
858
Special
Isoclinic Classification of Some Pairs $(G,G')$ of $p$-Groups
Kayvanfar
S.
^{
}
Kaheni
A.
^{
}
^{
}Department of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran
^{
}Department of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran
1
10
2018
13
2
133
142
06
03
2016
17
05
2017
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.
916
General
Extended Jacobi and Laguerre Functions and their Applications
Eslahchi
M.R.
^{
}
Abedzadeh
A.
^{
}
^{
}Department of Applied Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University
^{
}Department of Applied Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University
1
10
2018
13
2
143
161
17
06
2016
08
05
2017
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.
870
General
On Almost n-Layered QTAG-modules
Hasan
A.
^{
}
^{
}Jazan University, KSA
1
10
2018
13
2
163
171
30
03
2016
25
10
2017
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.
1513
General
ABSTRACTS IN PERSIAN Vol.13, No.2
In This Volume
The Name of Authors
^{
}
^{
}the affiliations of all authors
1
10
2018
13
2
173
186
19
01
2019
19
01
2019
Please see the full text contains the Pesian abstracts for this volume.