ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
15
1
2020
4
1
On Total Edge Irregularity Strength of Staircase Graphs and Related Graphs
1
13
EN
Y.
Susanti
Dept. of Mathematics Universitas Gadjah Mada
inielsusan@yahoo.com
Y
Y. I.
Puspitasari
Surakarta Indonesia
yuliaindahp.mail@gmail.com
N
H.
Khotimah
Department of Mathematics Universitas Muhammadiyah Pringsewu Lampung Indonesia
husnul.khotimah18@mail.ugm.ac.id
N
10.29252/ijmsi.15.1.1
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.
Total edge irregularity strength, Staircase graphs, Double staircase graphs, Mirror-staircase graphs
http://ijmsi.ir/article-1-1121-en.html
http://ijmsi.ir/article-1-1121-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
15
1
2020
4
1
On the Diophantine Equation x^6+ky^3=z^6+kw^3
15
21
EN
H.
Shabani-Solt.
Urmia University
h.shabani.solt@gmail.com
N
N.
Yusefnejad
Urmia University
yusefnejadnazanin@yahoo.com
N
A. S.
Janfada
Urmia University
asjanfada@gmail.com
Y
10.29252/ijmsi.15.1.15
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.
Diophantine equation, Elliptic curve.
http://ijmsi.ir/article-1-1004-en.html
http://ijmsi.ir/article-1-1004-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
15
1
2020
4
1
Sums of Strongly z-Ideals and Prime Ideals in ${mathcal{R}} L$
23
34
EN
A. A.
Estaji
Hakim Sabzevari University
aaestaji@gmail.com
Y
A.
Karimi Feizabadi
Islamic Azad University
akarimi@gorganiau.ac.ir
N
M.
Robat Sarpoushi
Hakim Sabzevari University
M.sarpooshi@yahoo.com
N
10.29252/ijmsi.15.1.23
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.
Frame, Ring of real-valued continuous functions, z-Ideal, Strongly z-ideal.
http://ijmsi.ir/article-1-1025-en.html
http://ijmsi.ir/article-1-1025-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
15
1
2020
4
1
Characterization of $mathrm{PSL}(5,q)$ by its Order and One Conjugacy Class Size
35
40
EN
A.R.
Khalili Asboei
Department of Mathematics, Farhangian University
khaliliasbo@yahoo.com
Y
10.29252/ijmsi.15.1.35
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.
Conjugacy class size, Prime graph, Thompson's conjecture.
http://ijmsi.ir/article-1-1061-en.html
http://ijmsi.ir/article-1-1061-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
15
1
2020
4
1
The Banach Type Contraction for Mappings on Algebraic Cone Metric Spaces Associated with An Algebraic Distance and Endowed with a Graph
41
52
EN
K.
Fallahi
Department of Mathematics, Payame Noor University, P.O. Box 19395-4697, Tehran, Iran
fallahi1361@gmail.com
Y
Gh.
Soleimani Rad
Department of Mathematics, Payame Noor University, P.O. Box 19395-4697, Tehran, Iran
gh.soleimani2008@gmail.com
N
10.29252/ijmsi.15.1.41
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.
Algebraic cone metric space, Algebraic distance, Banach contraction, Orbitally G-continuous mapping
http://ijmsi.ir/article-1-1064-en.html
http://ijmsi.ir/article-1-1064-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
15
1
2020
4
1
On the Prime Spectrum of Torsion Modules
53
63
EN
D.
Hassanzadeh-lelekaami
Arak University of Technology
lelekaami@gmail.com
Y
10.29252/ijmsi.15.1.53
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.
Torsion modules, Artinian module, Prime submodules.
http://ijmsi.ir/article-1-1070-en.html
http://ijmsi.ir/article-1-1070-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
15
1
2020
4
1
Harmonicity and Minimality of Vector Fields on Lorentzian Lie Groups
65
78
EN
Y.
Aryanejad
Payame noor University
y.keshavarzi@pnu.ac.ir
Y
10.29252/ijmsi.15.1.65
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.
Harmonic vector fields, Harmonic maps, Einstein metrics, Lie group, Pseudo-Riemannian homogeneous spaces.
http://ijmsi.ir/article-1-809-en.html
http://ijmsi.ir/article-1-809-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
15
1
2020
4
1
New Integral Inequalities Through the phi-Preinvexity
79
83
EN
B.
Meftah
Laboratoire des Télécommunications, Faculté des Sciences et de la Technologie, University of 8 May 1945 Guelma, P.O. Box 401, 24000 Guelma, Algeria.
badrimeftah@yahoo.fr
Y
10.29252/ijmsi.15.1.79
Abstract. In this note, we give some estimates of the generalized quadrature
formula of Gauss-Jacobi type for phi-preinvex functions.
Integral inequality, $varphi $-preinvex function, H ̈older inequality, power
mean inequality
http://ijmsi.ir/article-1-1057-en.html
http://ijmsi.ir/article-1-1057-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
15
1
2020
4
1
Quotient G-systems and Green\'s Relations
85
97
EN
S.
Ostadhadi-Dehkordi
Department of Mathematics, Hormozgan University, Bandar Abbas, Iran.
ostadhadi-dehkordi@hotmail.com
Y
K. P.
Shum
Institute of Mathematics,Yunnan University, Kunming,650091, P.R. China
kpshum@ynu.edu.cn
N
10.29252/ijmsi.15.1.85
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.
n-ary Semihypergroup, G-system, Greens relations.
http://ijmsi.ir/article-1-1082-en.html
http://ijmsi.ir/article-1-1082-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
15
1
2020
4
1
Comparing Model-based Versus K-means Clustering for the Planar Shapes
99
109
EN
M.
Golalizadeh
Department of Statistics, Faculty of Mathematical Sciences, Tarbiat Modares University
golalizadeh@modares.ac.ir
Y
H.
Jafari
Department of Statistics, Faculty of Mathematical Sciences, Tarbiat Modares University
hamed.jafari@modares.ac.ir
N
10.29252/ijmsi.15.1.99
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.
Shape, Clustering, K-means, Model-based, Landmark.
http://ijmsi.ir/article-1-1080-en.html
http://ijmsi.ir/article-1-1080-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
15
1
2020
4
1
Extensions of Some Fixed Point Theorems for Weak-Contraction Mappings in Partially Ordered Modular Metric Spaces
111
124
EN
K.
Chaira
University of Casablanca
chaira_karim@yahoo.fr
N
A.
Eladraoui
University of Casablanca
a.adraoui@live.fr
Y
M.
Kabil
University of Casablanca
kabilfstm@gmail.com
N
10.29252/ijmsi.15.1.111
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.
Fixed point, Weak contraction,Partially ordered space, Modular metric space.
http://ijmsi.ir/article-1-1102-en.html
http://ijmsi.ir/article-1-1102-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
15
1
2020
4
1
On Identities with Additive Mappings in Rings
125
133
EN
A. Z.
ansari
Department of Mathematics, Faculty of Science, Islamic University of Madinah, K.S.A
ansari.abuzaid@gmail.com
Y
10.29252/ijmsi.15.1.125
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}
Prime (Semiprime) ring, Additive mappings, Generalized (Jordan) left derivations, Generalized (Jordan) derivations, (Jordan)Centralizers.
http://ijmsi.ir/article-1-1051-en.html
http://ijmsi.ir/article-1-1051-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
15
1
2020
4
1
The Dynamical Analysis of a Delayed Prey-Predator Model with a Refuge-Stage Structure Prey Population
135
159
EN
R.
Naji
Baghdad university
rknaji@gmail.com
N
S.
Majeed
Thi-Qar University
sm.salammajeed@yahoo.com
Y
10.29252/ijmsi.15.1.135
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.
Delayed Prey - Predator System, Stage- Structure, Refuge, Stability, Hop f Bifurcation.
http://ijmsi.ir/article-1-1116-en.html
http://ijmsi.ir/article-1-1116-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
15
1
2020
4
1
ABSTRACTS IN PERSIAN Vol.15, No.1
161
174
EN
IJMSI
IJMSI
Academic Center for Education, Culture and Research (ACECR) Tarbiat Modares University (TMU)
Y
Please see the full text contains the Pesian abstracts for this volume.
ABSTRACTS, PERSIAN, Vol. 15, No. 1
http://ijmsi.ir/article-1-1958-en.html
http://ijmsi.ir/article-1-1958-en.pdf