Báo cáo toán học: "On sum of powers of the Laplacian and signless Laplacian eigenvalues of graphs" ppt
Báo cáo toán học: "On sum of powers of the Laplacian and signless Laplacian eigenvalues of graphs" ppt
... A not e on sum of powers of the Laplacian
eigenvalues of bipartite graphs, Linear Algebra Appl. 430 (2009), 2503–2510.
[12] B. Zhou, On sum of powers of the Laplacian eigenvalues of graphs, Linear ... On sum of powers of the Laplacian and
signless Laplacian eigenvalues of graphs
Saieed Akbari
1,2
Ebrahim Ghorbani
1,2
Jacobus H. Koolen
3,4...
Báo cáo toán học: "COMPOSITION SUM IDENTITIES RELATED TO THE DISTRIBUTION OF COORDINATE VALUES IN A DISCRETE SIMPLEX" pptx
... pictures of weight k.Acard of weight k
is a pair consisting of a picture of weight k and a k-element subset of N that we will call the
label set of the card. A hand of weight n and size l is a set of ... bijection between the set of compositions of n −2by{1, 2} and the
set of compositions of n − 1 by odd numbers. The bijection works by prepending a 1 to...
Báo cáo toán học: "On edge colorings with at least q colors in every subset of p vertices" ppsx
... j
a
i
2
otherwise
Furthermore if a
i+1
is odd and greater than 1, then b
i
+1
= a
i+1
.
So, for example, if p =2
k
, the sequence of a
i
-s is just all the powers of 2 from p to 1,
while there ... Introduction
1.1 Notations and definitions
For basic graph concepts see the monograph of Bollob´as [1]. V (G)andE(G)denotethe
vertex-set and the edge-set of the graph...
Báo cáo toán học: "On Mixed Codes with Covering Radius 1 and Minimum Distance 2" pot
... to modify Theorem 14 by using Theorem 9, similar to the proof of Theorem 12.
The next theorem is a modification of [7, Theorem 4].
Theorem 15. K(tr, ts, ts; 2) ≤ t
2
K(r, s, s; 2).
Proof. Let B ... until the total number
of 1’s in the new matrix B is m. Since A is non-extendable, every element of R appears in
the row and the column of an 0-entry in A. Thus for every 0-e...
Báo cáo khoa học " Cordyceps militaris polysaccharides can enhance the immunity and antioxidation activity in immunosuppressed mice " pptx
...
proliferation
and
the
secretion
of
IL-2,
IL-6,
and
IL-8,
and
increase
the
phagocytic
and
enzymatic
activities
of
the
acid
phosphatase
of
macrophages.
In
the
current
...
min,
and
the
supernates
were
used
for
the
measurement
of
the
protein,
T-AOC,
MAD,
CAT,
SOD,
and
GSH-Px
levels.
The
SOD
activity
and
th...
Báo cáo toán học: "On the non-holonomic character of logarithms, powers, and the nth prime function" ppsx
... function v(z)
is a little-oh of the right hand side of (7). Decomposing u
n
= φ(n)+v
n
completes the
proofofthestatement.
4
The singularity analysis technology of Flajolet and Odlyzko [18, 35] provides ... Structure Theorem (as stated above in
Theorem 2) and avoid some of the possible hardships due to the Stokes phenomenon.
Here is a direct application of Theorem 3....
Báo cáo toán học: "On Subsequence Sums of a Zero-sum Free Sequence" potx
... + m − 1. Then, either 0 ∈
n
(S) or
|
n
(S)| ≥ 2m − 1.
Proof. It follows from Theorem A and Theorem 1 immediately.
2 Proof of Theorem 1
Lemma 2. [2] Let G be an abelian group, and let S ... subsequence of S, we write SU
−1
for the subsequence obtained by deleting the
terms of U from S; if U and V are disjoint subsequences of S, we write UV for the subse-
quence obtain...
Báo cáo toán học: "On Subsequence Sums of a Zero-sum Free Sequence II" doc
... 5.3.2.2].
3. See [7].
The proof of the following lemma follows the lines of the proof of [7, Theorem 1.3].
Lemma 2.8. Let S ∈ F(G) be zero -sum free of length |S| ≥ 2. If f(S) ≤ 3|S| − 5, then
h(S) ≥ max{2,
3|S|+5
17
}.
the ... 369.
[6] W. Gao and I. Leader, Sums and k-sums in abelian groups of order k, J. Number
Theory 120 (2006), 26 – 32.
[7] W. Gao, Y. Li, J. Peng,...