2013
8
2
0
136
On Ricci identities for submanifolds in the 2-osculator bundle
2
2
It is the purpose of the present paper to outline an introduction in theory of embeddings in the 2-osculator bundle. First, we recall the notion of 2-osculator bundle ([9], [2], [4]) and the notion of submani-folds in the 2-osculator bundle ([9]). A moving frame is constructed. The induced connections and the relative covariant derivation are discussed in the fourth and fifth section ([15], [16]). The Ricci identities for the deflection tensors are presented in the seventh section.
1
21
Oana
Alexandru
Oana
Alexandru
nonlinear connection
linear connection
induced linear connection
d-torsions and d-curvatures.
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Higher rank Einstein solvmanifolds
2
2
In this paper we study the structure of standard Einstein solvmanifolds of arbitrary rank. Also the validity of a variational method for finding standard Einstein solvmanifolds is proved.
23
30
M.
Zarghani
M.
Zarghani
Nilpotent Lie algebra
Einstein
Solvmanifold
Critical point
Ricci soliton
Left invariant metric.
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Secret Sharing Based On Cartesian product Of Graphs
2
2
The purpose of this paper is to study the information ratio of perfect secret sharing of product of some special families of graphs. We seek to prove that the information ratio of prism graphs $Y_{n}$ are equal to $frac{7}{4}$ for any $ngeq 5$, and we will gave a partial answer to a question of Csirmaz cite{CL}. We will also study the information ratio of two other families $C_{m}times C_{n}$ and $P_{m}times C_{n}$ and obtain the exact value of information ratio of these graphs.
31
38
Hamidreza
Maimani
Hamidreza
Maimani
Zynolabedin
Norozi
Zynolabedin
Norozi
Secret sharing
Cartesian graph product
Prism graph.
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Generalization of -Centroidal Mean and its Dual
2
2
In this paper, the generalized -centroidal mean and its dual form in 2 variables are introduced. Also, studied some properties and prove their monotonicity. Further, shown that various means are partic- ular cases of generalized $bf{alpha}$-centroidal mean.
39
47
K. M.
Nagaraja
K. M.
Nagaraja
P. Siva Kota
Reddy
P. Siva Kota
Reddy
Sudhir Kumar
Sahu
Sudhir Kumar
Sahu
Monotonicity
Inequality
Power Oscillatory mean
Dual.
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On the domination polynomials of non P4-free graphs
2
2
A graph $G$ is called $P_4$-free, if $G$ does not contain an induced subgraph $P_4$. The domination polynomial of a graph $G$ of order $n$ is the polynomial $D(G,x)=sum_{i=1}^{n} d(G,i) x^{i}$, where $d(G,i)$ is the number of dominating sets of $G$ of size $i$. Every root of $D(G,x)$ is called a domination root of $G$. In this paper we state and prove formula for the domination polynomial of non $P_4$-free graphs. Also, we pose a conjecture about domination roots of these kind of graphs.
49
55
Saeid
Alikhani
Saeid
Alikhani
Domination polynomial
Simple path
Root.
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On the Algebraic Structure of Transposition Hypergroups with Idempotent Identity
2
2
This paper studies the algebraic structure of transposition hypergroups with idempotent identity. Their subhypergroups and their properties are examined. Right, left and double cosets are defined through symmetric subhypergroups and their properties are studied. Further- more, this paper examines the homomorphisms, the behaviour of attrac- tive and non-attractive elements through them, as well as the relation of their kernels and images to symmetric subhypergroups.
57
74
Christos G.
Massouros
Christos G.
Massouros
Gerasimos G.
Massouros
Gerasimos G.
Massouros
hypergroups
transposition hypergroups
subhypergroups
sym- metric subhypergroups
attractive elements.
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Generalized weakly contractive multivalued mappings and common fixed points
2
2
In this paper we introduce the concept of generalized weakly contractiveness for a pair of multivalued mappings in a metric space. We then prove the existence of a common fixed point for such mappings in a complete metric space. Our result generalizes the corresponding results for single valued mappings proved by Zhang and Song [14], as well as those proved by D. Doric [4].
75
84
M.
Eslamian
M.
Eslamian
Ali
Abkar
Ali
Abkar
multivalued mapping
weakly contractive mapping
common fixed point.
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Sum Formula for Maximal Abstract Monotonicity and Abstract Rockafellar’s Surjectivity Theorem
2
2
In this paper, we present an example in which the sum of two maximal abstract monotone operators is maximal. Also, we shall show that the necessary condition for Rockafellar’s surjectivity which was obtained in ([19], Theorem 4.3) can be sufficient.
85
100
A. R.
Doagooei
A. R.
Doagooei
H.
Mohebi
H.
Mohebi
Monotone operator
Abstract monotonicity
Abstract convex func- tion
Abstract convexity
Rockafellar’s surjectivity theorem.
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Weak complete parts in semihypergroups
2
2
In this article we generalize the notion of complete parts, by introducing a weaker condition in definition. Using this generalization we define and analyse a new class of semihypergroups, which are called weak complete semihypergroups. Complete parts were introduced about 40 years ago by M. Koskas and they represent a basic notion of hyperstucture theory, utilized in constructing an important class of subhypergroups of a hypergroup and also they are used to define complete hypergroups.
101
109
M.
Jafarpour
M.
Jafarpour
V.
Leoreanu-Fotea
V.
Leoreanu-Fotea
A.
Zolfaghari
A.
Zolfaghari
(semi)Hypergroup
(strongly) Regular relation
Complete parts
-part.
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A Generalized Fibonacci Sequence and the Diophantine Equations $x^2pm kxy-y^2pm x=0$
2
2
In this paper some properties of a generalization of Fibonacci sequence are investigated. Then we solve the Diophantine equations $x^2pmkxy-y^2pm x=0$, where $k$ is positive integer, and describe the structure of solutions.
111
121
Mojtaba
Bahramian
Mojtaba
Bahramian
Hassan
Daghigh
Hassan
Daghigh
Diophantine equation
Generalized Fibonacci sequence
Pell equation
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Frames in 2-inner Product Spaces
2
2
In this paper, we introduce the notion of a frame in a 2- inner product space and give some characterizations. These frames can be considered as a usual frame in a Hilbert space, so they share many useful properties with frames.
123
130
Ali Akbar
Arefijamaal
Ali Akbar
Arefijamaal
Ghadir
Sadeghi
Ghadir
Sadeghi
2-inner product space
2-norm space
Frame
Frame operator.
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Block Diagonal Majorization on $C_{0}$
2
2
Let $mathbf{c}_0$ be the real vector space of all real sequences which converge to zero. For every $x,yin mathbf{c}_0$, it is said that $y$ is block diagonal majorized by $x$ (written $yprec_b x$) if there exists a block diagonal row stochastic matrix $R$ such that $y=Rx$. In this paper we find the possible structure of linear functions $T:mathbf{c}_0rightarrow mathbf{c}_0$ preserving $prec_b$.
131
136
A.
Armandnejad
A.
Armandnejad
F.
Passandi
F.
Passandi
Block diagonal matrices
Majorization
Stochastic matrices
Linear preservers.
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