Báo cáo toán hoc:" Spherical f-Tilings by Scalene Triangles and Isosceles Trapezoids III " ppsx
Báo cáo toán hoc:" Spherical f-Tilings by Scalene Triangles and Isosceles Trapezoids III " ppsx
... discuss dihedral f-tilings by spherical scalene triangles, T , and
spherical isosceles trapezoids, Q, with a certain adjacency pattern. We present in Table 1
a list containing all the f-tilings obtained ... all dihedral f-tilings by spherical parallelograms and spherical triangles was
obtained. Later on, in [5], the classification of all dihedral f-tilings of th...
Báo cáo toán học: "Extremal problems for t-partite and t-colorable hypergraphs" ppsx
... S
p
satisfy λ(G, x) = λ(G).
If v, w ∈ V
i
and x
v
> x
w
then setting δ = (x
v
−x
w
)/2 > 0 and defining a new weighting
x
by x
v
= x
v
− δ, x
w
= x
w
+ δ and x
u
= x
u
for u ∈ V \{v, w} ... 3
If G ∈ G
(r)
t
and x = (x
1
, . . . , x
t
) ∈ Z
t
+
then the x-blow-up of G is the r-graph G(x)
constructed from G by replacing each vertex v by a class of vertices of siz...
Báo cáo toán học: "Spherical F-Tilings by Triangles and r-Sided Regular Polygons, r ≥ 5" doc
... and taking in account
the electronic journal of combinatorics 15 (2008), #R22 14
3 Dihedral Spherical F-Tilings by Scalene Triangles
and r-Sided Regular Polygons
Here T stands for a scalene spherical ... f-tilings of the sphere by rhombi and trian-
gles, Discrete Math. Theorical Computer Sci., 7 (2005), 123−140.
[5] A. M. Breda and A. F. Santos, Dihedral f-tilings...
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Báo cáo toán học: " decarboxylation catalyzed by phenolic acid decarboxylase from Candida guilliermondii" potx
... PCR) and P5 (nested PCR) were used
for the 5’-RACE and the gene-specific primers P6 (first PCR) and P7 (nested PCR) for
the 3’-RACE. Approximately 250 bp and 290 bp were amplified by 5’-RACE and ... 50 mM
sodium phosphate buffer (pH 7.0) and eluted with the equilibration buffer. The active
fractions were combined and concentrated by ultrafiltration, and the concentrate...
Báo cáo toán học: "A Mathematical Bibliography of Signed and Gain Graphs and Allied Areas Compiled by Thomas Zaslavsky Manuscript prepared with Marge Pratt" pdf
... group) and “consistency” in vertex-signed graphs ,and
generalizable work on two-graphs (the set of unbalanced triangles of a signed complete
graph) and on even and odd polygons and paths in graphs and ... D(Γ); Brown and Spencer
(1971a), Gordon and Witsenhausen (1972a) for D(K
t,t
); Harary, Lindstr¨om,
and Zetterstr¨om (1982a) for a result similar to Thm. 1.] (SG: Fr, Rand...
Báo cáo toán học: "lattice tilings by cubes: whole, notched and extended" potx
... get
ξ
m−1
− δ
m
ξ
m
= n
m
and ξ
k
− δ
k+1
ξ
k+1
= n
k
. (16)
We deduce that n
m
and n
k
are both non-zero and therefore that ξ
m−1
and δ
k+1
ξ
k+1
are both non-zero integers and sin πξ
m−1
=sinπδ
k+1
ξ
k+1
= ... we have that
ˇϕ = 1
Q∪R
and from (18) we get that Q ∪ R tiles with Λ and weight 1. We can now prove the
following.
Theorem 8 (Lattice tiling by extended cubes)
Let Q...
Báo cáo toán học: "About division by 1" pptx
... to the sign (−1)
k−1
.
These terms sum up to (−z)
k
S
k
k
( +1/z), and the required series f
k
(z) is obtained
by dividing by (−1)
k−1
S
k
k−1 ( ). QED
The first defining equations for the f
i
’s ... Leclerc, On identities satisfied by minors of a matrix, Advances in Maths. 100
(1993)101–132.
[LP] A. Lascoux, P. Pragacz, Sylvester’s formulas for Euclidean division and Schur mul-
tifunc...
Báo cáo toán học: "Irreducible coverings by cliques and Sperner’s theorem" ppsx
... by Moon and Moser [3]. Furthermore, I(n, n − 2) = 2
n−2
− 2 and the extremal graph
(unique up to isomorphism) coincides with K
2,n−2
for ... an irreducible covering by n − k
cliques, then ω(G) ≤ k +1 if k =2or 3 and ω(G) ≤
k
k/2
if k ≥ 4. Moreover, these
bounds are sharp for every n ≥ k +1if k =2or 3 and n ≥ k +
k
k/2
if ... journal of combinatorics 9 (2002), #N11 4
Ir...