Báo cáo toán học: "Betti numbers of monomial ideals and shifted skew shapes" potx
Báo cáo toán học: "Betti numbers of monomial ideals and shifted skew shapes" potx
... one can check is not of the form G
bip
X,Y
(D) for
any shifted skew- shape D. However, one can still think of the edges of G as corresponding
to the cells of a diagram in the shifted plane, which ... considered as drawn in the shifted plane, but
rather inside the m × n rectangle with row and column indices given by X and Y .
On the other hand, given a shifted skew diagr...
Báo cáo toán học: "Integral Closures of Monomial Ideals and Fulkersonian Hypergraphs" ppsx
... of the
denominators of l
1
, , l
r
and the components of b.Then
pc = kpl
1
a
1
+ ···+ kpl
r
a
r
+ kpb
Vietnam Journal of Mathematics 34:4 (2006) 489–494
Integral Closures of Monomial Ideals
and ... vector c ∈ N
n
is a vertex cover of order k of Δ if and only if M
T
·c ≥ k1,
where 1 denote the vector (1, , 1) of N
m
.
By the above characterization of monomials of...
Báo cáo toán học: "Poset homology of Rees products, and q-Eulerian polynomials" potx
... Introduction and statement of main results
In their study of connections between topology of order complexes and commutative al-
gebra in [8], Bj¨orner and Welker introduced the notion of Rees product of ... the
definition of the M¨obius function. For a ranked poset P of leng t h n and r ∈ {0, 1 , . . . , n},
let W
r
(P ) be the rth Whitney number of the second kind of...
Báo cáo toán học: "Splitting Numbers of Grids Dwight Duffus" pps
... 1)y
k
+1.
This completes the proof of (7) and verification of the upper bound. The proof of
Theorem 1 is complete.
Note that, by (7) and the remark following the proof of (6), all the orientations ... and o is alternating except for consecutive ↑’s in
positions r − 1andr.
the electronic journal of combinatorics 12 (2005), #R17 18
In each of (i) – (iii), and depending upon t...
Báo cáo toán học: "Saturation Numbers of Books" ppsx
... 7
Saturation Numbers of Books
Guantao Chen
∗
Dept. of Math. and Stat.
Georgia State University
Atlanta, GA 30303
gchen@gsu.edu
Ralph J. Faudree
Dept. of Math. Sciences
University of Memphis
Memphis, ... combinatorics 15 (2008), #R118 12
(A). Let s
1
and s
2
∈ S and let x
1
and x
2
be the corresponding neighbors in V
1
of s
1
and
s
2
, respectively. If x
1
= x
2
and s...
Báo cáo toán học: "Fixing Numbers of Graphs and Groups" pptx
... e),
where v and e are a vertex and an edge of G, and v and e are incident. Inf(G) has an
edge between (v
1
, e
1
) and (v
2
, e
2
) if v
1
= v
2
or e
1
= e
2
. We denote the k-fold inflation of
the ... that v and u are adjacent
vertices of Inf
k
(K
n
). By the definition of inflatio n, v = (v
′
, e
′
) and u = (u
′
, d
′
) for two
vertices v
′
and u
′
in Inf
k−1
(K
n
) a...
Báo cáo toán học: " Some properties of an integral operator defined by convolution" potx
... by Noor [3–5] and Padmanabhan and Parvatham [2]. Also it can
easily be seen that
(
)
*
2
0
R S
=
and
(
)
2
0 ,
T K
= where
*
S
and
K
are the well-known classes of
starlike and close-to-convex ... R: Properties of a class of functions with bounded
boundary rotation. Ann. Polon. Math. 31, 311–323 (1975)
[3]. Noor, KI: On radii of convexity and starlikeness of so...
Báo cáo toán học: " Aluminium content of selected foods and food products" pptx
...
reached in the event of an average weekly consumption (median value) of, e.g.
1,795 g of chocolate and for children 772 g of chocolate. On the basis of the
maximum aluminium content of chocolate, ... a weekly consumption of 467 g and for children of only 201 g. To reach the
PTWI value of 70 mg per week (adults) and of 30 mg per week (children), the
weekly consump...
