Báo cáo toán học: " On the Koolen–Park inequality and Terwilliger graphs" pps
Báo cáo toán học: " On the Koolen–Park inequality and Terwilliger graphs" pps
... 1, the local
graph of each vertex of Γ is the α-clique extension of a Moore strongly regular graph ∆.
Then α = 1 and on e of the following hol ds:
(1) ∆ is the pentagon and Γ is the icosahedron;
(2) ... s
1
+ 2, r
1
< 1 + 2/s
1
and s
1
= 1, r
1
= 2. Hence, the graph
∆
1
(w) is the α
1
-clique extension of the pentagon. By Lemma 3.2, the graph ∆ is the
icosahedro...
Báo cáo toán học: "On the Hyperbolicity of Some Systems of Nonlinear " pps
... 97–117.
7. H. T. Ngoan and N. T. Nga, On the Cauchy problem for hyperbolic Monge-
Amp`ere equations, In: Proceedings of the Conference on Partial Differential
Equations and their Applications, Hanoi, December ... ξ
4
v
33
v
15
v
24
,
(6.7)
On the Hyperbolicity of some Systems of Nonlinear 111
The solvability of the Cauchy problem for the equations (1.5) strongly depends...
Báo cáo toán học: " ON THE NUMBER OF DESCENDANTS AND ASCENDANTS IN RANDOM SEARCH TREES" ppsx
... >bdescendants, and the claim in the proposition follows.
On the other hand, let
j
be the number of comparisons made between the j
th
element and other
elements, during the partition where the j
th
element ... 3) and the recursion stops at subfiles of size ≤ b.We
only consider here comparisons, that appear by comparing the pivot to each other element in the
part...
Báo cáo toán học: "On the Number of Matchings in Regular Graphs" pptx
... prove the other cases of the theorem by
induction on i. Assume that the theorem holds for i ≤ l, where l ≥ 1. Let i = l + 1. Then
for j ≥ l + 1 use (2.7) for k ≥ 2 and the induction hypothesis ... shows the first inequality in the second line of (3.9).
If i is odd then p
i
q
j
≺ p
i−1
q
j+1
. This shows the inequality between the last term of the
first line and the...
Báo cáo toán học: "On the distribution of depths in increasing trees" ppsx
... enlarged
edition, 1974 .
[7] R. P. Dobrow and R. T. Smythe. Poisson approximations for functionals of random
trees. In Proceedings of the Seventh International Conference on Random Structures
and Algorithms ... not connected, then the parent of j in B
−1
k
(T ) is
the same as the parent of j + 1 in T , and the position as a child is the same as well.
• If j > k, then t...
Báo cáo toán học: "On the automorphism group of integral circulant graphs" docx
... implies
that a and b are not adjacent, and consequently f (a) and f(b) are not adjacent. From
the above consideration, f(a) − f(b) is divisible by p and we conclude that f(b) belongs
to the same class ... that the class C
i
is mapped to the class C
j
. Since the vertices from the class
C
i
form an independent set and the restriction of the automorphism f on the v...
Báo cáo toán học: " On the first- and second-order statistics of the capacity " ppt
... {χ
2
n
(t)}, and Γ (·) represents the gamma
function [33]. The expectation and the variance operators are denoted by E{·} and Var{·},
respectively. The parameter m
n
controls the severity of the fading, ... obtain the
expressions for the statistical properties of the channel capacity C(t). Again, by applying
the concept of transformation of random variables, the PD...
Báo cáo toán học: " On the boundedness of the solutions in nonlinear discrete Volterra difference equations" pot
... (P
0
) and x
0
belongs to S. Then the conditions of Theorem 3.1 hold, so the solution
of (1.1) with the initial condition (1.2) is bounded.
5 Some corollaries with convolution estimations
In ... interest in the study of the asymptotic behavior of the
solutions of both convolution and non-convolution-type linear and nonlinear Volterra difference equations
(see [1–17] and ref...
Báo cáo toán học: " On the interchannel interference in digital communication systems, its impulsive nature, and its mitigation" docx
... traces. On the other hand, the DoL cir-
cuit (the right-hand panels) improves the signal-to-noise
ratio in the baseband by 7.4 dB, effectively suppressing
the impulsive component of the noise and ... in the figure that (i) the onsets of the power
pulses originate at the discontinuities in the second deri-
vative of the modulating signal and (ii) the magnitudes...