Báo cáo toán hoc:"On the unitary Cayley graph of a finite ring" pot
Báo cáo toán hoc:"On the unitary Cayley graph of a finite ring" pot
... 8
On the unitary Cayley graph of a finite ring
Reza Akhtar
Department of Mathematics
Miami University
reza@calico.mth.muohio.edu
Megan Boggess
Columbia Union College
meganboggess@gmail.com
Tiffany ... is the tensor
product of the matrices A( G) and A( H), and that the eigenvalues of a tensor product of
matrices may be found by taking products of the eig env...
Báo cáo toán học: "On the Tur´n Properties of Infinite Graphs a" pptx
... otherwise.
The meaning of the existence of t
B
(i) is similar as in Remark 2.3.
3 Proof of Theorem 1.2
We start with an outline of the proof. First, we redefine the sequence B by adding k
to all ... mod k, achieves this bound. Hence, the Tur´an density for
finite and infinite K
k+1
–free graphs is the same.
In this paper we study the edge density of graphs without an...
Báo cáo toán học: "On restricted unitary Cayley graphs and symplectic transformations modulo n" docx
... 26
circulant generalization of these graphs for arbitrar y n. We refer to G
n
as the (undirected)
quadratic unitary Cayley graph on Z
n
.
We present some structural properties o f quadratic unitary Cayley ... row-swaps, and symplectic row-additions/subtractions. We also characterize
the conditions under which quadratic unitary graphs ar e perfect, by examining special
cases...
Báo cáo toán học: "On the Almost Sure Convergence of Weighted Sums of I.I.D. Random Variables" docx
... Heidelberg,
Berlin, 1978.
4. D. L. Hanson and L. H. Koopman, On the convergence rate of the law of large
numbers for linear combinations of independent random variables, Ann. Math.
Statist. 36 (1965) 559–564.
5. ... mean 0 random variables, (a
nk
)
be any array of r eal numbers and (m
n
) be any sequence of positive integers such
that m
n
→∞.Then
m
n
k=1
a
nk
X
k
→ 0 a. s....
Báo cáo toán học: "On the generation and enumeration of some classes of convex polyominoes" pps
... of the polyomino has the maximal
ordinate among all the cells of the polyomino;
U2 : the lowest cell of the rightmost column of the polyomino has the minimal ordinate
among all the cells of the ... G(x)+xS
B
(x)+xB
g
(x).
(41)
Many of the terms of the system are already known, and as a consequence the equa-
tions for A
a,b
(x), B
a, b
(x), A
r
(x...
Báo cáo toán học: "On the non-holonomic character of logarithms, powers, and the nth prime function" ppsx
... for z varying in
a cone of the complex plane, rather than the more customary real line. In this way we
can avail ourselves of the comparatively simple Structure Theorem (as stated above in
Theorem ... It is pleasant to note that the P´olya-Carlson Theorem was earlier employed
in a similar fashion [2] in order to establish a structural lower bound in the theory of
formal...
Báo cáo hóa học: " On the Ulam-Hyers stability of a quadratic functional equation" ppt
... exists a true quadra-
tic mapping near an approximately quadratic mapping.
Theorem 3.2 Assume that a mapping f : X ® Y satisfies f(0) = 0 and inequality (3.3).
Then there exists a unique quadratic ... function
case, the reader is referred to Forti [4] and Găvruta [5].
Let X be a real normed space and Y be a real Banach space in the case of functional
inequalities, as well as l...