Báo cáo toán học: "Construction of Codes Identifying Sets of Vertices" docx
Báo cáo toán học: "Monochromatic and zero-sum sets of nondecreasing modified diamete" pot
... the
assumption of the case it follows that we can find a (2m − 5)-set partition P of the terms
of D which has at least (m − 2) sets of cardinality 1, and consequently at most m − 3sets
with cardinality ... most a − 2termsofD are all elements
of H
a
, and, furthermore, that there exists a (2m − 2)-set partition P
1
of the terms of D
which are elements of H
a
such that the sum...
Báo cáo toán học: "Strongly Cancellative and Recovering Sets on Lattices" docx
... recovering sets R
L
and strongly cancellative
sets C
L
on different lattices. These sets are special classes of recovering pairs and
cancellative sets previously discussed in the papers of Simonyi, ... the
other hand, the study of recovering sets is prompted by the previous work of Simonyi [9]
on recovering pairs. A recovering pair (A, B) is an ordered pair of subsets A, B...
Báo cáo toán học: "Construction of Codes Identifying Sets of Vertices" docx
... separates all the sets of at most vertices of G.The
dedicated terminology [12] for such codes is (1, ≤ ) -identifying codes. ThesetsI(X)are
said to be the identifying sets of the corresponding ... sets of at most
vertices of G,andifalltheI(X, C)’s are nonempty then we say that C covers the sets
of at most vertices of G.WesaythatC is a code identifying set...
Báo cáo toán học: "General bounds for identifying codes in some infinite regular graphs" docx
... called the r -identifying set,oridentifying set,ofv
and will be denoted by I(v). Two vertices which have different identifying sets are said
to be r-separated,orseparated.
The concept of identifying ... the same type of argument as in the proof of
Proposition 2, that each vertex of the infinite graph belongs to e elements E
i,j
∈E.
Now, the proof is nearly the same as the previou...
Báo cáo toán học: "Construction of Minimal Bracketing Covers for Rectangles" pptx
... using
the bracketing result [11, Thm. 1.15] instead of the result of Haussler.)
An advantage of (1) is that the dependence of the inverse of the discrepancy on d is
optimal. This was verified ... the cardinality
of a minimal δ-bracketing cover of C
d
. Then
n
∗
∞
(ε, d) ≤
2
ε
2
ln N
[ ]
(C
d
, ε/2) + ln 2
, (2)
see [8, Proof of Thm. 3.2]. Thus improved bounds of the b...
Báo cáo toán học: "Lower bounds for identifying codes in some infinite grids" potx
... (P2).
Proof. Without loss of generality, let c = (0, 0). Recall Case 2 of the proof of Lemma 8.
That is, p(c) 8 and, without loss of generality, equality implies I
2
(c) = {c}. Further-
more, one of ...
Finally, we can finish the proof of Lemma 9 by way of the discharging method. (For
a more ext ensive application of the discharging method on vertex identifying codes, se...
Báo cáo toán học: " Dilemmas in the reliable estimation of the in-vitro cell viability in magnetic nanoparticle engineering: which tests and what protocols?" doc
... damage. These findings
highlight the importance of assay selection and of dissection of different cellular responses in in-vitro
characterisation of nanostructures.
Keywords: magnetic nanoparticle; ... applications of MNPs emerging, little is known of the adverse biological side
effects due to their nanoscale size. Recently, the importance of such biological characterisati...
Báo cáo toán học: " The structural and optical properties of GaSb/InGaAs type- quantum dots grown on InP (100) substrate" ppt
...
the height of GaSb/In
0.53
Ga
0.47
As QDs. (a) The AFM image of GaSb/In
0.53
Ga
0.47
As
QDs, (b) histogram of the height of GaSb/In
0.53
Ga
0.47
As QDs, and (c) the STEM
image of GaSb/In
0.53
Ga
0.47
As ... dependence of the
PL peak energies over the third root of the excitation density [20]. The inset of Figure
3b shows the linear dependence of the PL peak energies and...
Báo cáo toán học: " Structural, optical and magnetic studies of manganese-doped zinc oxide hierarchical microspheres by self-assembly of nanoparticles" docx
... primitive cell,
where all of the atoms are occupying the C
3V
sites. According to the group theory, single
crystalline ZnO has eight sets of optical phonon modes at Γ point of the Brillouin zone, ... well [31]. The XPS data of Zn2p and Mn2p
further provide evidences for the incorporation of Mn
2+
ions into ZnO.
To obtain a better understanding of the formation of Mn-do...
Báo cáo toán học: " Strong convergence theorems and rate of convergence of multi-step iterative methods for continuous mappings on an arbitrary interval" pptx
... mathematical
21
comparison of the rate of convergence. The first one was introduced by Berinde [27].
He used this idea to compare the rate of convergence of Picard and Mann iterations for
a class of Zamfirescu ... method by using the con-
cept of K-mapping for finding a common fixed point of a finite family of nonexpansive
mappings and a solution of an equilibrium problem. Applic...
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