2014
9
2
0
131
On Generalized Coprime Graphs
2
2
Paul Erdos defined the concept of coprime graph and studied about cycles in coprime graphs. In this paper this concept is generalized and a new graph called Generalized coprime graph is introduced. Having observed certain basic properties of the new graph it is proved that the chromatic number and the clique number of some generalized coprime graphs are equal.
1
6
S.
Mutharasu
S.
Mutharasu
Manonmaniam Sundaranar University
skannanmunna@yahoo.com
N.
Mohamed Rilwan
N.
Mohamed Rilwan
Manonmaniam Sundaranar University
rilwan2020@gmail.com
M. K.
Angel Jebitha
M. K.
Angel Jebitha
Manonmaniam Sundaranar University
angel_jebitha@yahoo.co.in
T.
Tamizh Chelvam
T.
Tamizh Chelvam
tamche59@gmail.com
Coprime graph
Semi-perfect
Clique number
Chromatic number.
[## ##]
Local Cohomology with Respect to a Cohomologically Complete Intersection Pair of Ideals
2
2
Let $(R,fm,k)$ be a local Gorenstein ring of dimension $n$. Let $H_{I,J}^i(R)$ be theĀ local cohomology with respect to a pair of ideals $I,J$ and $c$ be the $inf{i|H_{I,J}^i(R)neq0}$. A pair of ideals $I, J$ is called cohomologically complete intersection if $H_{I,J}^i(R)=0$ for all $ineq c$. It is shown that, when $H_{I,J}^i(R)=0$ for all $ineq c$, (i) a minimal injective resolution of $H_{I,J}^c(R)$ presents like that of a Gorenstein ring (ii) $Hom_R(H_{I,J}^c(R),H_{I,J}^c(R))simeq R$, where $(R,fm)$ is a complete ring. Also we get an estimate of theĀ dimension of $H_{I,J}^i(R)$.
7
13
A.
Pour Eshmanan Talemi
A.
Pour Eshmanan Talemi
poureshmanan@iaurasht.ac.ir
A.
Tehranian
A.
Tehranian
tehranian@srbiau.ac.ir
Vanishing
Local cohomology
Gorenstein ring.
[## ##]
Strongly almost ideal convergent sequences in a locally convex space defined by Musielak-Orlicz function
2
2
In this article, we introduce a new class of ideal convergent sequence spaces using an infinite matrix, Musielak-Orlicz function and a new generalized difference matrix in locally convex spaces. We investigate some linear topological structures and algebraic properties of these spaces. We also give some relations related to these sequence spaces.
15
35
B.
Hazarika
B.
Hazarika
Rajiv Gandhi University
bh_rgu@yahoo.co.in
$I$-convergence
difference space
Musielak-Orlicz function.
[## ##]
The p-median and p-center Problems on Bipartite Graphs
2
2
Let $G$ be a bipartite graph. In this paper we consider the two kind of location problems namely $p$-center and $p$-median problems on bipartite graphs. The $p$-center and $p$-median problems asks to find a subset of vertices of cardinality $p$, so that respectively the maximum and sum of the distances from this set to all other vertices in $G$ is minimized. For each case we present some properties to find exact solutions.
37
43
J.
Fathali
J.
Fathali
fathali@shahroodut.ac.ir
N.
Jafari Rad
N.
Jafari Rad
n.jafarirad@shahroodut.ac.ir
S.
Rahimi Sherbaf
S.
Rahimi Sherbaf
srahimi@shahroodut.ac.ir
Location theory
$p$-median
$p$-center
Bipartite graphs.
[## ##]
Chromaticity of Turan Graphs with At Most Three Edges Deleted
2
2
Let $P(G,lambda)$ be the chromatic polynomial of a graph $G$. A graph $G$ ischromatically unique if for any graph $H$, $P(H, lambda) = P(G,lambda)$ implies $H$ is isomorphic to $G$. In this paper, we determine the chromaticity of all Tur'{a}n graphs with at most three edges deleted. As a by product, we found many families of chromatically unique graphs and chromatic equivalence classes of graphs.
45
64
G.-C.
Lau
G.-C.
Lau
laugc@johor.uitm.edu.my
Y.-H.
Peng
Y.-H.
Peng
yhpeng@fsas.upm.edu.my
S.
Alikhani
S.
Alikhani
alikhani@yazd.ac.ir
Chromatic polynomial
Chromatic uniqueness
Turan graph.
[## ##]
A Semidefinite Optimization Approach to Quadratic Fractional Optimization with a Strictly Convex Quadratic Constraint
2
2
In this paper we consider a fractional optimization problem that minimizes the ratio of two quadratic functions subject to a strictly convex quadratic constraint. First using the extension of Charnes-Cooper transformation, an equivalent homogenized quadratic reformulation of the problem is given. Then we show that under certain assumptions, it can be solved to global optimality using semidefinite optimization relaxation in polynomial time.
65
71
M.
Salahi
M.
Salahi
salahim@guilan.ac.ir
S.
Fallahi
S.
Fallahi
saeedf808@gmail.com
Quadratic fractional optimization
Semidefinite optimization relaxation
Global optimization.
[## ##]
On Some Fractional Systems of Difference Equations
2
2
This paper deal with the solutions of the systems of difference equations $$x_{n+1}=frac{y_{n-3}y_nx_{n-2}}{y_{n-3}x_{n-2}pm y_{n-3}y_n pm y_nx_{n-2}}, ,y_{n+1}=frac{y_{n-2}x_{n-1}}{ 2y_{n-2}pm x_{n-1}},,nin mathbb{N}_{0},$$ where $mathbb{N}_{0}=mathbb{N}cup left{0right}$, and initial values $x_{-2},, x_{-1},,x_{0},,y_{-3},,y_{-2},,y_{-1},,y_{0}$ are non-zero real numbers.
73
86
N.
Touafek
N.
Touafek
Jijel University
nouressadat_touafek@yahoo.com
System of difference equations
Form of the solutions
Periodicity.
[## ##]
Some Results on Convexity and Concavity of Multivariate Copulas
2
2
This paper provides some results on different types of convexity and concavity in the class of multivariate copulas. We also study their properties and provide several examples to illustrate our results.
87
100
A.
Dolati
A.
Dolati
adolati@yazd.ac.ir
A.
Dehgan Nezhad
A.
Dehgan Nezhad
anezhad@yazd.ac.ir
Componentwise concavity
Copula
Quasi-concavity
Schur-concavity.
[## ##]
Application of the Norm Estimates for Univalence of Analytic Functions
2
2
By using norm estimates of the pre-Schwarzian derivatives for certain family of analytic functions, we shall give simple sufficient conditions for univalence of analytic functions.
101
108
R.
Aghalary
R.
Aghalary
Starlike functions
Differential subordination
Integral operators.
[## ##]
On the Ultramean Construction
2
2
We use the ultramean construction to prove linear compactness theorem. We also extend the Rudin-Keisler ordering to maximal probability charges and characterize it by embeddings of power ultrameans.
109
119
M.
Bagheri
M.
Bagheri
Tarbiat-Modares
bagheri@modares.ac.ir
Continuous logic
Ultramean
Linear compactness
Rudin-Keisler ordering.
[## ##]
ABSTRACTS IN PERSIAN - Vol. 9, No. 2
2
2
Please see the full text contains the Pesian abstracts for this volume.
121
131
Name of Authors
in This Volume
Name of Authors
in This Volume
[## ##]