en
jalali
1400
1
1
gregorian
2021
4
1
16
1
online
1
fulltext
en
Edge-coloring Vertex-weightings of Graphs
Let $G=(V(G),E(G))$ be a simple, finite and undirected graph of order $n$. A $k$-vertex weightings of a graph $G$ is a mapping $w: V(G) to {1, ldots, k}$. A $k$-vertex weighting induces an edge labeling $f_w: E(G) to N$ such that $f_w(uv)=w(u)+w(v)$. Such a labeling is called an {it edge-coloring k-vertex weightings} if $f_{w}(e)not= f_{w}(e')$ for any two adjacent edges $e$ and $e'$. Denote by $mu'(G)$ the minimum $k$ for $G$ to admit an edge-coloring $k$-vertex weightings. In this paper, we determine $mu'(G)$ for some classes of graphs.
Edge coloring, Vertex weightings.
1
13
http://ijmsi.ir/browse.php?a_code=A-10-2087-3&slc_lang=en&sid=1
2017/02/23
1395/12/5
2021/04/10
1400/1/21
W.-Ch.
Shiu
Hong Kong Baptist University
wcshiu@hkbu.edu.hk
0031947532846008761
0031947532846008761
No
G.-Ch.
Lau
Universiti Teknologi MARA Malaysia
geeclau@yahoo.com
0031947532846008762
0031947532846008762
Yes
H.-K.
Ng
San Jose State University, USA
ho-kuen.ng@sjsu.edu
0031947532846008763
0031947532846008763
No
en
A Trust-region Method using Extended Nonmonotone Technique for Unconstrained Optimization
In this paper, we present a nonmonotone trust-region algorithm for unconstrained optimization. We first introduce a variant of the nonmonotone strategy proposed by Ahookhosh and Amini cite{AhA 01} and incorporate it into the trust-region framework to construct a more efficient approach. Our new nonmonotone strategy combines the current function value with the maximum function values in some prior successful iterates. For iterates far away
from the optimizer, we give a very strong nonmonotone strategy. In the vicinity of the optimizer, we have a weaker nonmonotone strategy. It leads to a medium nonmonotone strategy when iterates are not far away from or close to the optimizer. Theoretical analysis indicates that the new approach converges globally to a first-order critical point under classical assumptions. In addition, the local convergence is also studied. Extensive numerical experiments for unconstrained optimization problems are reported.
Unconstrained optimization, Trust-region framework, Nonmonotone technique, Theoretical convergence
15
33
http://ijmsi.ir/browse.php?a_code=A-10-3031-1&slc_lang=en&sid=1
2017/02/232017/10/22
1396/7/30
2021/04/102020/03/26
1399/1/7
M.
kimiaei
Vienna University
kimiaeim83@univie.ac.at
0031947532846008764
0031947532846008764
Yes
H.
esmaeili
Bu Ali University
esmaeili47@yahoo.com
0031947532846008765
0031947532846008765
No
F.
rahpeymaii
Payame Noor
rahpeyma_83@yahoo.com
0031947532846008766
0031947532846008766
No
en
On Contact and Symplectic Lie Algeroids
In this paper, we will study compatible triples on Lie algebroids. Using a suitable decomposition for a Lie algebroid, we construct an integrable generalized distribution on the base manifold. As a result, the symplectic form on the Lie algebroid induces a symplectic form on each integral submanifold of the distribution. The induced Poisson structure on the base manifold can be represented by means of the induced Poisson structures on the integral submanifolds. Moreover, for any compatible triple with invariant metric and admissible almost complex structure, we show that the bracket annihilates on the kernel of the anchor map.
Lie algebroid, Symplectic Lie algebroid, Contact Lie algebroid, Poisson structure
35
53
http://ijmsi.ir/browse.php?a_code=A-10-729-1&slc_lang=en&sid=1
2017/02/232017/10/222017/11/26
1396/9/5
2021/04/102020/03/262018/05/26
1397/3/5
E.
Nazari
Tarbiat Modares University
e.nazari@modares.ac.ir
0031947532846008767
0031947532846008767
No
A.
Heydari
Tarbiat Modares University
aheydari@modares.ac.ir
0031947532846008768
0031947532846008768
Yes
en
Wijsman Statistical Convergence of Double Sequences of Sets
In this paper, we study the concepts of Wijsman statistical convergence, Hausdorff statistical convergence and Wijsman statistical Cauchy double sequences of sets and investigate the relationship between them.
Statistical convergence, Double sequence of sets, Wijsman convergence, Hausdorff convergence.
55
64
http://ijmsi.ir/browse.php?a_code=A-10-2971-1&slc_lang=en&sid=1
2017/02/232017/10/222017/11/262017/10/5
1396/7/13
2021/04/102020/03/262018/05/262018/07/25
1397/5/3
E.
Dundar
Department of Mathematics, Faculty of Science and Literature, Afyon Kocatepe University
edundar@aku.edu.tr
0031947532846008082
0031947532846008082
Yes
F.
Nuray
Department of Mathematics, Faculty of Science and Literature, Afyon Kocatepe University
fnuray@aku.edu.tr
0031947532846008083
0031947532846008083
No
U.
Ulusu
Department of Mathematics, Faculty of Science and Literature, Afyon Kocatepe University
ulusu@aku.edu.tr
0031947532846008084
0031947532846008084
No
en
One-point Goppa Codes on Some Genus 3 Curves with Applications in Quantum Error-Correcting Codes
We investigate one-point algebraic geometric codes CL(D, G) associated to maximal curves recently characterized by Tafazolian and Torres given by the affine equation yl = f(x), where f(x) is a separable polynomial of degree r relatively prime to l. We mainly focus on the curve y4 = x3 +x and Picard curves given by the equations y3 = x4-x and y3 = x4 -1. As a result, we obtain exact value of minimum distance in several cases and get many records that don’t exist in MinT tables (tables of optimal parameters for linear codes), such as codes over F72 of dimension less than 36. Moreover, using maximal Hermitian curves and their sub-covers, we obtain a necessary and sufficient condition for self-orthogonality and Hermitian self-orthogonally of CL(D, G).
Algebraic geometric codes, Maximal curves, Minimum distance, Goppa bound, Quantum error-correcting codes
65
76
http://ijmsi.ir/browse.php?a_code=A-10-3328-1&slc_lang=en&sid=1
2017/02/232017/10/222017/11/262017/10/52018/02/20
1396/12/1
2021/04/102020/03/262018/05/262018/07/252018/04/25
1397/2/5
R.
Mohammadi
Department of Mathematics, Tarbiat Modares University.
rasool.mohammadi@modares.ac.ir
0031947532846008123
0031947532846008123
Yes
en
Viewing Some Ordinary Differential Equations from the Angle of Derivative Polynomials
In the paper, the authors view some ordinary differential equations and their solutions from the angle of (the generalized) derivative polynomials and simplify some known identities for the Bernoulli numbers and polynomials, the Frobenius-Euler polynomials, the Euler numbers and polynomials, in terms of the Stirling numbers of the first and second kinds.
Viewpoint, Ordinary differential equation, Solution, Derivative polynomial, Identity, Stirling numbers, Bernoulli number, Bernoulli polynomial, Frobenius-Euler polynomial
77
95
http://ijmsi.ir/browse.php?a_code=A-10-1807-1&slc_lang=en&sid=1
2017/02/232017/10/222017/11/262017/10/52018/02/202018/02/6
1396/11/17
2021/04/102020/03/262018/05/262018/07/252018/04/252018/05/26
1397/3/5
B. -N.
Guo
Henan Polytechnic University
bai.ni.guo@hotmail.com
0031947532846008124
0031947532846008124
No
F.
Qi
Tianjin Polytechnic University
qifeng618@gmail.com
0031947532846008125
0031947532846008125
Yes
en
On Eulerianity and Hamiltonicity in Annihilating-ideal Graphs
Let $R$ be a commutative ring with identity, and $ mathrm{A}(R) $ be the set of ideals with non-zero annihilator. The annihilating-ideal graph of $ R $ is defined as the graph $AG(R)$ with the vertex set $ mathrm{A}(R)^{*}=mathrm{A}(R)setminuslbrace 0rbrace $ and two distinct vertices $ I $ and $ J $ are adjacent if and only if $ IJ=0 $. In this paper, conditions under which $AG(R)$ is either Eulerian or Hamiltonian are given.
Annihilating-ideal graph, Eulerian graphs, Hamiltonian graphs
97
104
http://ijmsi.ir/browse.php?a_code=A-10-1518-1&slc_lang=en&sid=1
2017/02/232017/10/222017/11/262017/10/52018/02/202018/02/62017/12/30
1396/10/9
2021/04/102020/03/262018/05/262018/07/252018/04/252018/05/262019/07/9
1398/4/18
A.
Kourehpaz
Department of Mathematics, Jundi-Shapur University of Technology
asma_korehpaz@jsu:ac:ir
0031947532846008126
0031947532846008126
No
R.
Nikandish
Department of Mathematics, Jundi-Shapur University of Technology
r.nikandish@jsu.ac.ir
0031947532846008127
0031947532846008127
Yes
en
Graph Clustering by Hierarchical Singular Value Decomposition with Selectable Range for Number of Clusters Members
Graphs have so many applications in real world problems. When we deal with huge volume of data, analyzing data is difficult or sometimes impossible. In big data problems, clustering data is a useful tool for data analysis. Singular value decomposition(SVD) is one of the best algorithms for clustering graph but we do not have any choice to select the number of clusters and the number of members in each cluster. In this paper, we use hierarchical SVD to cluster graphs with it's adjacency matrix. In this algorithm, users can select a range for the number of members in each cluster. The results show in hierarchical SVD algorithm, clustering measurement parameters are more desirable and clusters are as dense as possible. The complexity of this algorithm is less than the complexity of SVD clustering method.
Graph Clustering, Singular Value Decomposition, Hierarchical Clustering, Selectable Clusters Number.
105
121
http://ijmsi.ir/browse.php?a_code=A-10-3306-1&slc_lang=en&sid=1
2017/02/232017/10/222017/11/262017/10/52018/02/202018/02/62017/12/302018/02/4
1396/11/15
2021/04/102020/03/262018/05/262018/07/252018/04/252018/05/262019/07/92019/08/8
1398/5/17
A.
Sadeghian
Yazd University
a_sadeghian@stu.yazd.ac.ir
0031947532846008769
0031947532846008769
No
S. A.l
Shahzadeh Fazeli
Yazd University
fazeli@yazd.ac.ir
0031947532846008770
0031947532846008770
Yes
S. M.
Karbassi
Yazd University
smkarbassi@yazd.ac.ir
0031947532846008771
0031947532846008771
No
en
Surfaces Generated by Translation Surfaces of Type 1 in I^1_3
In this paper, we classify surface at a constant distance from the edge of regression on translation surfaces of Type 1 in the three dimensional simply isotropic space I^1_3 satisfying some algebraic equations in terms of the coordinate functions and the Laplacian operators with respect to the first, the second and the third fundamental form of the surface. We also give explicit forms of these surfaces.
Simply isotropic space, Translation surfaces, Surface at a constant distance from the edge of regression on a surface.
123
135
http://ijmsi.ir/browse.php?a_code=A-10-3244-1&slc_lang=en&sid=1
2017/02/232017/10/222017/11/262017/10/52018/02/202018/02/62017/12/302018/02/42018/01/10
1396/10/20
2021/04/102020/03/262018/05/262018/07/252018/04/252018/05/262019/07/92019/08/82020/08/15
1399/5/25
M.
Karacan
Usak University
murat.karacan@usak.edu.tr
0031947532846008772
0031947532846008772
No
A.
Çakmak
Bitlis Eren University
acakmak@beu.edu.tr
0031947532846008773
0031947532846008773
Yes
S.
Kızıltuğ
Erzincan University
skiziltug@erzincan.edu.tr
0031947532846008774
0031947532846008774
No
H.
Es
Gazi Universiy
hasanes@gazi.edu.tr
0031947532846008775
0031947532846008775
No
en
Recognition of $L_{2}(q)$ by the Main Supergraph
Let $G$ be a finite group. The main supergraph $mathcal{S}(G)$ is a graph with vertex set $G$ in which two vertices $x$ and $y$ are adjacent if and
only if $o(x) mid o(y)$ or $o(y)mid o(x)$. In this paper, we will show that $Gcong L_{2}(q)$ if and only if $mathcal{S}(G)cong mathcal{S} (L_{2}(q))$, where $q$ is a prime power. This work implies that Thompson's problem holds for the simple group $L_{2}(q)$.
Graph, Main supergraph, Thompson's problem
137
144
http://ijmsi.ir/browse.php?a_code=A-10-355-3&slc_lang=en&sid=1
2017/02/232017/10/222017/11/262017/10/52018/02/202018/02/62017/12/302018/02/42018/01/102018/02/2
1396/11/13
2021/04/102020/03/262018/05/262018/07/252018/04/252018/05/262019/07/92019/08/82020/08/152018/07/21
1397/4/30
S. S.
Salehi Amiri
Islamic Azad University, Babol
salehisss@baboliau.ac.ir
0031947532846008776
0031947532846008776
No
A.R.
Khalili Asboei
Farhangian University
khaliliasbo@yahoo.com
0031947532846008777
0031947532846008777
Yes
en
Application of Tau Approach for Solving Integro-Differential Equations with a Weakly Singular Kernel
In this work, the convection-diffusion integro-differential equation with a weakly singular kernel is discussed. The Legendre spectral tau method is introduced for finding the unknown function. The proposed method is based on expanding the approximate solution as the elements of a shifted Legendre polynomials. We reduce the problem to a set of algebraic equations by using operational matrices. Also the convergence analysis for shifted Legendre polynomials and error estimation for tau method have been discussed and approved with the exact solution. Finally, several numerical examples are given to demonstrate the high accuracy of the method.
Shifted Legendre tau method, Weakly singular kernel, Integro-differential equation, Convection-diffusion equation.
145
168
http://ijmsi.ir/browse.php?a_code=A-10-1568-1&slc_lang=en&sid=1
2017/02/232017/10/222017/11/262017/10/52018/02/202018/02/62017/12/302018/02/42018/01/102018/02/22018/01/27
1396/11/7
2021/04/102020/03/262018/05/262018/07/252018/04/252018/05/262019/07/92019/08/82020/08/152018/07/212020/02/19
1398/11/30
R.
Pourgholi
School of Mathematics and Computer Science,
pourgholi@du.ac.ir
0031947532846008778
0031947532846008778
Yes
A.
Tahmasbi
School of Mathematics and Computer Science,
tahmasbi@du.ac.ir
0031947532846008779
0031947532846008779
No
R.
Azimi
School of Mathematics and Computer Science,
r.azimi@std.du.ac.ir
0031947532846008780
0031947532846008780
No
en
Tame Loci of Generalized Local Cohomology Modules
Let $M$ and $N$ be two finitely generated graded modules over a standard graded Noetherian ring $R=bigoplus_{ngeq 0} R_n$. In this paper we show that if $R_{0}$ is semi-local of dimension $leq 2$ then, the set $hbox{Ass}_{R_{0}}Big(H^{i}_{R_{+}}(M,N)_{n}Big)$ is asymptotically stable for $nrightarrow -infty$ in some special cases. Also, we study the torsion-freeness of graded generalized local cohomology modules $H^{i}_{R_{+}}(M,N)$. Finally, the tame
loci $T^{i}(M,N)$ of $(M,N)$ will be considered and some sufficient conditions are proposed for the openness of these sets in the Zariski topology.
Graded modules, Generalized local cohomology modules, Associated prime ideals, Tame loci.
169
180
http://ijmsi.ir/browse.php?a_code=A-10-2679-1&slc_lang=en&sid=1
2017/02/232017/10/222017/11/262017/10/52018/02/202018/02/62017/12/302018/02/42018/01/102018/02/22018/01/272017/05/7
1396/2/17
2021/04/102020/03/262018/05/262018/07/252018/04/252018/05/262019/07/92019/08/82020/08/152018/07/212020/02/192020/10/24
1399/8/3
F.
Dehghani Zadeh
Islamic Azad University, Yazd branch
dehghanizadeh@iauyazd.ac.ir
0031947532846008781
0031947532846008781
No
M.
Jahangiri
Kharazmi university
mjahangiri@ipm.ir
0031947532846008782
0031947532846008782
Yes
en
Relative non-Normal Graphs of a Subgroup of Finite Groups
Let G be a finite group and H,K be two subgroups of G. We introduce the relative non-normal graph of K with respect to H , denoted by NH,K, which is a bipartite graph with vertex sets HHK and KNK(H) and two vertices x ∈ H HK and y ∈ K NK(H) are adjacent if xy / ∈ H, where HK =Tk∈K Hk and NK(H) = {k ∈ K : Hk = H}. We determined some numerical invariants and state that when this graph is planar or outerplanar.
Non-normal graph, Relative Non-normal graph, Normality degree, Outer planar.
181
189
http://ijmsi.ir/browse.php?a_code=A-10-3071-1&slc_lang=en&sid=1
2017/02/232017/10/222017/11/262017/10/52018/02/202018/02/62017/12/302018/02/42018/01/102018/02/22018/01/272017/05/72017/11/3
1396/8/12
2021/04/102020/03/262018/05/262018/07/252018/04/252018/05/262019/07/92019/08/82020/08/152018/07/212020/02/192020/10/242019/07/12
1398/4/21
M.
Ziaaddini
Department of Pure Mathematics, Ferdowsi University of Mashhad
ma.ziyaaddini@stu.um.ac.ir
0031947532846008138
0031947532846008138
No
A.
Erfanian
Department of Pure Mathematics and the Center of Excellence in Analysis on Algebraic Structures, Ferdowsi University of Mashhad
erfanian@um.ac.ir
0031947532846008139
0031947532846008139
Yes
en
Nearly Rational Frobenius Groups
In this paper, we study the structure of nite Frobenius groups whose non-rational or non-real irreducible characters are linear.
Frobenius groups, Rational groups, Real groups.
191
194
http://ijmsi.ir/browse.php?a_code=A-10-3343-1&slc_lang=en&sid=1
2017/02/232017/10/222017/11/262017/10/52018/02/202018/02/62017/12/302018/02/42018/01/102018/02/22018/01/272017/05/72017/11/32018/02/28
1396/12/9
2021/04/102020/03/262018/05/262018/07/252018/04/252018/05/262019/07/92019/08/82020/08/152018/07/212020/02/192020/10/242019/07/122018/10/8
1397/7/16
S.
M. Robati
Department of Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.
sajjad.robati@gmail.com
0031947532846008783
0031947532846008783
Yes
en
Some Weighted Integral Inequalities for Generalized Conformable Fractional Calculus
In this paper, we have obtained weighted versions of Ostrowski, Čebysev and Grüss type inequalities for conformable fractional integrals which is given by Katugompola. By using the Katugampola definition for conformable calculus, the present study confirms previous findings and contributes additional evidence that provide the bounds for more general functions.
Ostrowski inequality, Čebysev inequality, Grüss inequality, Conformable fractional integrals.
195
212
http://ijmsi.ir/browse.php?a_code=A-10-3154-1&slc_lang=en&sid=1
2017/02/232017/10/222017/11/262017/10/52018/02/202018/02/62017/12/302018/02/42018/01/102018/02/22018/01/272017/05/72017/11/32018/02/282017/12/8
1396/9/17
2021/04/102020/03/262018/05/262018/07/252018/04/252018/05/262019/07/92019/08/82020/08/152018/07/212020/02/192020/10/242019/07/122018/10/82018/05/8
1397/2/18
H.
Budak
Department of Mathematics, Faculty of Science and Arts, Düzce University
hsyn.budak@gmail.com
0031947532846008141
0031947532846008141
Yes
F.
Usta
Department of Mathematics, Faculty of Science and Arts, Düzce University
fuatusta@duzce.edu.tr
0031947532846008142
0031947532846008142
No
M. Z.
Sarikaya
Department of Mathematics, Faculty of Science and Arts, Düzce University
sarikaymz@gmail.com
0031947532846008143
0031947532846008143
No
en
ABSTRACTS IN PERSIAN Vol.16, No.1
Please see the full text contains the pesian abstracts of this volume.
ABSTRACTS, PERSIAN, Vol. 16, No. 1
213
228
http://ijmsi.ir/browse.php?a_code=A-10-1873-46&slc_lang=en&sid=1
2017/02/232017/10/222017/11/262017/10/52018/02/202018/02/62017/12/302018/02/42018/01/102018/02/22018/01/272017/05/72017/11/32018/02/282017/12/82021/08/2
1400/5/11
2021/04/102020/03/262018/05/262018/07/252018/04/252018/05/262019/07/92019/08/82020/08/152018/07/212020/02/192020/10/242019/07/122018/10/82018/05/82021/08/2
1400/5/11
The Name of Authors
in this Volume
Academic Center for Education, Culture and Research (ACECR)
fatemeh.bardestani@gmail.com
0031947532846008784
0031947532846008784
Yes