Báo cáo toán học: "On the combinatorial structure of arrangements of oriented pseudocircles" ppsx
Báo cáo toán học: "On the combinatorial structure of arrangements of oriented pseudocircles" ppsx
... vertex.
2. The initial vertex of the next edge is v(j, ∓k).
3. Determine the direction of the next edge by the sign of the entry ∓k in list j and
the direction of the preceding edge according to the ... combining the information about the direction of the first edge with the
corresponding crossing yields a rule for the direction of the second edge. If...
Báo cáo toán học: " On the Symmetric and Rees Algebras of Some Binomial Ideals" pdf
... by x
p
the g.c.d. of the first term of f
u
and the first term
of f
v
, by x
t
the g.c.d. of the first term of f
u
and the second term of f
v
, by x
r
the g.c.d. of the second term of f
u
and the second ... Marcel
in Theorem 2.1. We obtain also a primary decomposition of the presentation
ideal of the Symmetric algebra Sym(I) in Theorem 3.1. All these resu...
Báo cáo toán học: "On the Excluded Minors for Matroids of Branch-Width Three" ppsx
... and
T
is one of the two components of T − e. (This is well defined since, for T
being the
other component of T − e,thesets(T
),(T
) form a partition of (T ).) The width of
the branch-decomposition ... branch-decomposition (T,τ) is the maximum of the widths of the edges of T ,andthe
branch-width of M is the minimal width over all branch-decompositi...
Báo cáo toán học: "On the Entropy and Letter Frequencies of Ternary Square-Free Words" docx
... of the letter a.Thenumber may thus be regarded
as the frequency of the letter a. We are interested in the exponential growth rate of
s
n,n
. This leads to the question whether sequences of ... <q<∞. The function F (q) is called the free energy of the model. More
can be said about the properties of the free energy by using convexity arguments. These
ar...
Báo cáo toán học: "On the Kronecker Product s(n−p,p) ∗ sλ." ppsx
... follows from Theorem 3.1.
(b) The proof of this part of the theorem is similar to the proof of Theorem 3.1, part
(b). We are forced to place λ
1
− α
1
1’s in the first row, and when placing the remaining
|
¯
λ|−|¯α|−|β| ... rl(α), the reverse lexicographic
filling of α, and add the labelled boxes of rl(α)totherowsof
ˆ
β according to the Add
algorithm. The only labels...
Báo cáo toán học: "On the Doubly Refined Enumeration of Alternating Sign Matrices and Totally Symmetric Self-Complementary Plane Partitions Tiago Fonseca" ppsx
... proof is
the main focus of the present work:
Theorem. The number of ASMs of size n with the 1 of the first row in the (i + 1)
st
position and the 1 of last row in the (j + 1)
st
position is the ... number of ASMs of size n is the same as
the number of TSSCPPs of size 2n:
A
n
= A
n
(1) = U
0
n
(1)
4 The proof
4.1 ASM counting as the partition function...
Báo cáo toán học: "On the structure and classification of SOMAs: generalizations of mutually orthogonal Latin" docx
... Thus, the the existence of a
SOMA(n − 1,n) is equivalent to the existence of n − 1 MOLS of order n, and hence
to the existence of a projective plane of order n.Ifnis a power of a prime then there
exists ... construct the graph Φ(A)forAas follows. The vertex-
set of Φ(A) is the union of A, the cartesian product {1, ,n}×{1, ,n},theset
the electronic journal of...
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