Báo cáo toán học: "Some inequalities in functional analysis, combinatorics, and probability theory" pdf
Báo cáo toán học: "Some inequalities in functional analysis, combinatorics, and probability theory" pdf
... 11T99
Abstract
The main purpose of this paper is to show that many inequalities in functional
analysis, probability theory and combinatorics are immediate corollaries of the best
approximation theorem in inner ... electronic journal of combinatorics 17 (2010), #R58 3
The main purpose of this paper is to show that many inequalities in functional analysis,
probability th...
Báo cáo toán học: "ntersecting families in the alternating group and direct product of symmetric groups" potx
... equality holds in (1), then for any independent set I of cardinality α(Γ
2
)
in Γ
2
, φ
−1
(I) is an independent set of cardinality α(Γ
1
) in Γ
1
.
2 Intersecting families in the alternating group
Throughout, ... derangements in S
n
. In particular
d(4) = 9 and d(5) = 44. Moreover, an independent set in Γ
q
n
is an intersecting family in
G. A MAPLE computation shows that th...
Báo cáo toán hoc:"Degree powers in graphs with a forbidden even cycle" pdf
... G and |G| for |V (G)|;
- e
G
(X) for the number of edges induced by X;
- e
G
(X, Y ) for the number of edges joining vertices in X to vertices in Y ;
- G −u for the graph obtained by removing ... matrix.
If G does not contain C
2k+ 2
, then
µ
2
− kµ k (n − 1 ) .
2 Main results
We write |X| for the cardinality of a finite set X. Let G be a graph, and X and Y be
disjoint sets of vert...
Báo cáo toán học: "Some Remarks on Set-Valued Minty Variational Inequalities" ppt
... Stampacchia and Minty variational inequalities, In: General-
ized Convexity and Optimization for Economic and Financial Decisions, G. Giorgi
Some Remarks on Set-Valued Minty Variational Inequalities ... satisfied.
Therefore, in this case x
0
is a set Ξ-minimizer if and only if (x
0
,y
0
) is a point
Ξ-minimizer. In the sequel, when we deal with Ξ-minimizers, we write explic-
it...
Báo cáo toán học: " Some Applications of the Proper and Adjacency Polynomials in the Theory of Graph Spectra" docx
... ν
2
p
u
k
(λ)σ
k
(µ)
2
.
Then, such a minimum turns out to be
Φ
min
=
p
u
k
(λ)E
k
∆
and, according to (18
), the upper bound in (31) comes from ν
2
Φ
min
1+Φ
min
. This bound
corresponds to using in (26
) the polynomial ... local proper and adjacency polynomials, p
u
k
and Q
u
k
, are independent of the chosen vertex u and coincide with the corresponding
average polynomials p...
Báo cáo toán học: "Some Aspects of Hankel Matrices in Coding Theory and Combinatorics Ulrich Tamm" ppt
... j
for k ≥ 2,n≥ 1. (1.4)
Desainte–Catherine and Viennot [24] also gave a combinatorial interpretation of this de-
terminant in terms of special disjoint lattice paths and applications to the enumeration
of ... method for solving
key equation for decoding Goppa codes”, Information and Control 27, 1975, 87 – 99.
[74] U. Tamm, “Hankel matrices in coding theory and combinatorics”, Prep...
Báo cáo toán học: "Some new methods in the Theory of m-Quasi-Invariants" pps
... possess a rich
combinatorial underpinning resulting in truly surprising identities. The S
n
case deserves
special attention since the results in this case extend in a remarkable manner many well
known ... (1.5). Of course, since the S
3
m-quasi-invariants are easily obtained from the m-quasi-
invariants of the dihedral groupd D
3
, in principle, the results in [7] should have a bear...
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