1
1735-4463
ACECR at Tarbiat Modares University
1121
Special
On Total Edge Irregularity Strength of Staircase Graphs and Related Graphs
Susanti
Y.
^{
b
}
Puspitasari
Y. I.
^{
c
}
Khotimah
H.
^{
d
}
^{
b
}Dept. of Mathematics Universitas Gadjah Mada
^{
c
}Surakarta Indonesia
^{
d
}Department of Mathematics Universitas Muhammadiyah Pringsewu Lampung Indonesia
1
4
2020
15
1
1
13
26
07
2017
09
05
2019
Let G=(V(G),E(G)) be a connected simple undirected graph with non empty vertex set V(G) and edge set E(G). For a positive integer k, by an edge irregular total k-labeling we mean a function f : V(G)UE(G) --> {1,2,...,k} such that for each two edges ab and cd, it follows that f(a)+f(ab)+f(b) is different from f(c)+f(cd)+f(d), i.e. every two edges have distinct weights. The minimum k for which G has an edge irregular total k-labeling is called the total edge irregularity strength of graph G and denoted by tes(G). In this paper, we determine the exact value of total edge irregularity strength for staircase graphs, double staircase graphs and mirror-staircase graphs.
1004
Special
On the Diophantine Equation x^6+ky^3=z^6+kw^3
Shabani-Solt.
H.
^{
e
}
Yusefnejad
N.
^{
f
}
Janfada
A. S.
^{
g
}
^{
e
}Urmia University
^{
f
}Urmia University
^{
g
}Urmia University
1
4
2020
15
1
15
21
07
01
2017
04
03
2020
Given the positive integers m,n, solving the well known symmetric Diophantine equation xm+kyn=zm+kwn, where k is a rational number, is a challenge. By computer calculations, we show that for all integers k from 1 to 500, the Diophantine equation x6+ky3=z6+kw3 has infinitely many nontrivial (y≠w) rational solutions. Clearly, the same result holds for positive integers k whose cube-free part is not greater than 500. We exhibit a collection of (probably infinitely many) rational numbers k for which this Diophantine equation is satisfied. Finally, appealing these observations, we conjecture that the above result is true for all rational numbers k.
1025
Special
Sums of Strongly z-Ideals and Prime Ideals in ${mathcal{R}} L$
Estaji
A. A.
^{
h
}
Karimi Feizabadi
A.
^{
i
}
Robat Sarpoushi
M.
^{
j
}
^{
h
}Hakim Sabzevari University
^{
i
}Islamic Azad University
^{
j
}Hakim Sabzevari University
1
4
2020
15
1
23
34
12
02
2017
07
11
2019
It is well-known that the sum of two $z$-ideals in $C(X)$ is either $C(X)$ or a $z$-ideal.
The main aim of this paper is to study the sum of strongly $z$-ideals in ${mathcal{R}} L$, the ring of real-valued continuous functions on a frame $L$.
For every ideal $I$ in ${mathcal{R}} L$, we introduce the biggest strongly $z$-ideal included in $I$ and the smallest strongly $z$-ideal containing $I$,
denoted by $I^{sz}$ and $I_{sz}$, respectively.
We study some properties of $I^{sz}$ and $I_{sz}$.
Also, it is observed that the sum of any family of minimal prime ideals in the ring ${mathcal{R}} L$ is either ${mathcal{R}} L$ or a prime strongly $z$-ideal in ${mathcal{R}} L$.
In particular, we show that the sum of two prime ideals in ${mathcal{R}} L$ such that are not a chain, is a prime strongly $z$-ideal.
1061
Special
Characterization of $mathrm{PSL}(5,q)$ by its Order and One Conjugacy Class Size
Khalili Asboei
A.R.
^{
k
}
^{
k
}Department of Mathematics, Farhangian University
1
4
2020
15
1
35
40
09
04
2017
14
08
2017
Let $p=(q^4+q^3+q^2+q+1)/(5,q-1)$ be a prime number, where $q$ is a prime
power. In this paper, we will show $Gcong mathrm{PSL}(5,q)$ if and only if
$|G|=|mathrm{PSL}(5,q)|$, and $G$ has a conjugacy class size $frac{|
mathrm{PSL}(5,q)|}{p}$. Further, the validity of a conjecture of J. G.
Thompson is generalized to the groups under consideration by a new way.
1064
General
The Banach Type Contraction for Mappings on Algebraic Cone Metric Spaces Associated with An Algebraic Distance and Endowed with a Graph
Fallahi
K.
^{
l
}
Soleimani Rad
Gh.
^{
m
}
^{
l
}Department of Mathematics, Payame Noor University, P.O. Box 19395-4697, Tehran, Iran
^{
m
}Department of Mathematics, Payame Noor University, P.O. Box 19395-4697, Tehran, Iran
1
4
2020
15
1
41
52
14
04
2017
08
05
2019
In this work, we define the notion of an algebraic distance in algebraic cone metric spaces defined by Niknam et al. [A. Niknam, S. Shamsi Gamchi and M. Janfada, Some results on TVS-cone normed spaces and algebraic cone metric spaces, Iranian J. Math. Sci. Infor. 9 (1) (2014), 71--80] and introduce some its elementary properties. Then we prove the existence and uniqueness of fixed point for a Banach contractive type mapping in algebraic cone metric spaces associated with an algebraic distance and endowed with a graph.
1070
Special
On the Prime Spectrum of Torsion Modules
Hassanzadeh-lelekaami
D.
^{
n
}
^{
n
}Arak University of Technology
1
4
2020
15
1
53
63
19
04
2017
30
07
2018
The paper uses a new approach to investigate prime submodules and minimal prime submodules of certain modules such as Artinian and torsion modules. In particular, we introduce a concrete formula for the radical of submodules of Artinian modules.
809
General
Harmonicity and Minimality of Vector Fields on Lorentzian Lie Groups
Aryanejad
Y.
^{
o
}
^{
o
}Payame noor University
1
4
2020
15
1
65
78
30
11
2015
20
10
2019
We consider four-dimensional lie groups equipped with left-invariant Lorentzian Einstein metrics, and determine the harmonicity properties of vector fields on these spaces. In some cases, all these vector fields are critical points for the energy functional restricted to vector fields. We also classify vector fields defining harmonic maps, and calculate explicitly the energy of these vector fields. Then we study the minimality of critical points for the energy functional.
1057
General
New Integral Inequalities Through the phi-Preinvexity
Meftah
B.
^{
p
}
^{
p
}Laboratoire des Télécommunications, Faculté des Sciences et de la Technologie, University of 8 May 1945 Guelma, P.O. Box 401, 24000 Guelma, Algeria.
1
4
2020
15
1
79
83
02
04
2017
11
03
2018
Abstract. In this note, we give some estimates of the generalized quadrature
formula of Gauss-Jacobi type for phi-preinvex functions.
1082
General
Quotient G-systems and Green's Relations
Ostadhadi-Dehkordi
S.
^{
}
Shum
K. P.
^{
}
^{
}Department of Mathematics, Hormozgan University, Bandar Abbas, Iran.
^{
}Institute of Mathematics,Yunnan University, Kunming,650091, P.R. China
1
4
2020
15
1
85
97
10
05
2017
08
09
2017
In this paper, we first introduce the concepts of G-systems, quotient G-systems and isomorphism theorems on G-systems of n-ary semihypergroups .
Also we consider the Green's equivalences on G-systems and further in-vestigate some of their properties. A number of n-ary semihypergroups
are constructed and presented as examples in this paper.
1080
Special
Comparing Model-based Versus K-means Clustering for the Planar Shapes
Golalizadeh
M.
^{
}
Jafari
H.
^{
}
^{
}Department of Statistics, Faculty of Mathematical Sciences, Tarbiat Modares University
^{
}Department of Statistics, Faculty of Mathematical Sciences, Tarbiat Modares University
1
4
2020
15
1
99
109
09
05
2017
06
03
2018
In some fields, there is an interest in distinguishing different geometrical objects from each other.
A field of research that studies the objects from a statistical point of view, provided they are
invariant under translation, rotation and scaling effects, is known as the statistical shape analysis.
Having some objects that are registered using key points on the outline of the objects, the main purpose
of this paper is to compare two popular clustering procedures to cluster objects. We also use some indexes
to evaluate our clustering application. The proposed methods are applied to the real life data.
1102
General
Extensions of Some Fixed Point Theorems for Weak-Contraction Mappings in Partially Ordered Modular Metric Spaces
Chaira
K.
^{
}
Eladraoui
A.
^{
}
Kabil
M.
^{
}
^{
}University of Casablanca
^{
}University of Casablanca
^{
}University of Casablanca
1
4
2020
15
1
111
124
12
06
2017
29
05
2019
The purpose of this paper is to establish fixed point results for a single mapping in a partially ordered modular metric space, and to prove a common fixed point theorem for two self-maps satisfying some weak contractive inequalities.
1051
Special
On Identities with Additive Mappings in Rings
ansari
A. Z.
^{
}
^{
}Department of Mathematics, Faculty of Science, Islamic University of Madinah, K.S.A
1
4
2020
15
1
125
133
22
03
2017
25
09
2017
begin{abstract}
If $F,D:Rto R$ are additive mappings which satisfy
$F(x^{n}y^{n})=x^nF(y^{n})+y^nD(x^{n})$ for all $x,yin R$. Then, $F$ is a generalized left derivation with associated Jordan left derivation $D$ on $R$. Similar type of result has been done for the other identity forcing to generalized derivation and at last an example has given in support of the theorems.
end{abstract}
1116
Special
The Dynamical Analysis of a Delayed Prey-Predator Model with a Refuge-Stage Structure Prey Population
Naji
R.
^{
}
Majeed
S.
^{
}
^{
}Baghdad university
^{
}Thi-Qar University
1
4
2020
15
1
135
159
14
07
2017
07
07
2018
A mathematical model describing the dynamics of a delayed stage structure prey - predator system with prey refuge is considered. The existence, uniqueness and bounded- ness of the solution are discussed. All the feasibl e equilibrium points are determined. The stability analysis of them are investigated. By employ ing the time delay as the bifurcation parameter, we observed the existence of Hopf bifurcation at the positive equilibrium. The stability and direction of the Hopf bifurcation are determined by utilizing the normal form method and the center manifold reduction. Numerical simulations are given to support the analytic results.
1958
General
ABSTRACTS IN PERSIAN Vol.15, No.1
IJMSI
IJMSI
^{
}
^{
}Academic Center for Education, Culture and Research (ACECR) Tarbiat Modares University (TMU)
1
4
2020
15
1
161
174
21
08
2020
21
08
2020
Please see the full text contains the Pesian abstracts for this volume.