Báo cáo toán học: "Graphic and Protographic Lists of Integers" docx
Báo cáo toán học: "Graphic and Protographic Lists of Integers" docx
... positive graphic lists are the 0 -protographic lists, and the protographic
lists are the 1 -protographic lists.
As might be expected, every s -protographic list is also (s + 1) -protographic. This
follows ... lists Y such that
the merger X ∪ Y is not graphic, where the merger of two lists is obtained by summing
the multiplicities of their elements.
More generally, define...
Báo cáo toán học: " Structural and optical properties of ZnS thin films deposited by RF magnetron sputtering" potx
... absorbers hav ing energy band gaps in
the range of 1.3 to 1.5 eV compared with CdS and having
a wider energy band gap compared with CdS, which trans-
mits even higher energy photons and increases the ... National Research Foundation of Korea (NRF) funded by the Ministry of
Education, Science and Technology (2010-0024830).
Author details
1
School of Materials Science and Engine...
Báo cáo toán học: " Structure and electrical properties of sputtered TiO2/ZrO2 bilayer composite dielectrics upon annealing in nitrogen" pdf
... study and
participated in its design and coordination. CY participated in the revision of
the manuscript. LPS and YW participated in the preparation of the TiO
2
/ZrO
2
bilayer thin film. JQZ and ... full
incorporation of the TiO
2
and ZrO
2
film, as shown in
TEM.
Figure 2 High-resolution cross-sectional TEM images of the interface between the composite thin films and Si.(...
Báo cáo toán học: "Regularity and Isomorphism Theorems of Generalized Order - Preserving Transformation Semigroups" ppt
... Semigroups
Yupaporn Kemprasit
1
and Sawian Jaidee
2
1
Department of Mathematics, Faculty of Science
Chulalongkorn University, Bangkok 10330, Thailand
2
Department of Mathematics, Faculty of Science , Khon ... set of integers
and the set of real numbers, respectively. In [3], Kemprasit and Changphas
characterized when OT (X) is regular where X is a nonempty subset of Z or X...
Báo cáo toán học: "Jamming and geometric representations of graphs" ppsx
... G
1
and G
2
in the embedding of G. G
1
is completely embedded in one of
the faces of G
2
and vice versa, which is not possible by convexity of faces and by Lemma 15.
If G
O
has a vertex of degree ... vertex of degree two and either connected or two-connected. By Lemma 13
and Lemma 14 there is a subset of vertices V
1
and a component G
1
of G
O
\V
1
such that G
1
∪V...
Báo cáo toán học: "Edge and total choosability of near-outerplanar graphs" ppsx
...
∆ + 1, and suppose that every vertex and edge of G is given a list of ∆ + 1 colours. Then
the vertices and edges of G − (B − z
0
) can be properly coloured from these lists. Each
edge of B incident ... ∆, and suppose that every edge of G is given a list of ∆ colours.
Then the edges of G − (B − z
0
) can be properly coloured from these lists. Since each
edge of B st...
Báo cáo toán học: "Partitions and Edge Colourings of Multigraphs" pps
... set and the vertex set of G is denoted by V (G) and E(G) respectively. For
a vertex v of G, the degree, d(v), of v in G is the number of edges incident with v. The
set N
v
of all neighbours of ... finish the proof of the theorem.
Case 2.1: α ∈ ¯ϕ(y) ∪ ¯ϕ(z). By the symmetry between y and z, we can suppose that
α ∈ ¯ϕ(y). By (a) and (b), there is a colour β ∈ ¯ϕ(x) and a...
Báo cáo toán học: "Enumeration and asymptotic properties of unlabeled outerplanar graphs" pot
... limit distribu-
tions of the number of edges in a random dissection and in a random outerplanar graph,
respectively.
Proof of Theorem 1.4. The limit distribution of the number of edges in a two-connected
unlabeled ... probability of connectedness, the number and type
of components, and the number of isolated vertices, in a random outerplanar graph. Next,
we investigate t...
Báo cáo toán học: "Anatomy and chemical composition of Pinus pinea L. bark" pdf
...
phloem
is
gradual
and
signalled
by
the
col-
lapse
of
sieve
cells
and
loss
of
their
radial
and
tangential
alignment,
the
distortion
of
rays
and
the
expansion
of
parenchyma
cells. ...
Conclusions
The
bark
anatomy
of
P.
pinea
L.
is
similar
to
that
of
P.
pinaster
and
other
Pinus
spp.
The
secondary
phloem
of
P.
pinea
has
sieve
cells...
Báo cáo toán học: "quality and field performance of Douglas fir seedlings under varying degrees of water stress" potx
...
texture
consisted
of
62
%
coarse
sand,
26
%
fine
sand,
7
%
loam
and
5
%
clay.
The
20-cm
upper
layer
of
soil
had
3
%
of
organic
matter,
a
pH
of
5.8
and
a
cationic ...
W.L.,
Some
methods
of
cold
stor-
age
can
seriously
affect
root
growth
potential
and
root
moisture
content
and
subsequent
forest
performance
of
Sitka
spruce
and
D...
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