Báo cáo toán học: " Enumeration of standard Young tableaux of certain truncated shapes" pps
Báo cáo toán học: " Enumeration of standard Young tableaux of certain truncated shapes" pps
... shapes.
the electronic journal of combinatorics 18(2) (2011), #P20 13
Enumeration of standard Young tableaux
of certain truncated shapes
Ron M. Adin
∗
Department of Mathematics
Bar-Ilan University
Ramat-Gan ... computations
were carried out for the number of standard Young tableaux of these and other truncated
shapes. It was found t hat , in certain distingui...
Báo cáo toán học: " Enumeration of Tilings of Diamonds and Hexagons with Defects" potx
... number of tilings of half of a hexagon or half of a diamond, with dents
at given places. This is not new: see [7] and [8].
2. Express the number of tilings of the figure as a whole as a sum of squares ... transpose, then the determinant of MM
t
is equal to the sum
of the squares of the k by k minors of M.
The number of tilings of a (k, q, k) hexagon in which the indic...
Báo cáo toán học: "Enumeration and asymptotic properties of unlabeled outerplanar graphs" pot
... used for the enumeration of unlabeled structures in a
similar way as generating functions for labeled enumeration. First of all, the composition
of graphs corresponds to the composition of the associated ... [nr. of components] 1 1.17847 -
distr. nr. of isolated vertices Dirac Geom(ρ) Poiss(λ)
E [nr. of isolated vertices] 0 0.153761 0.136593
distr. of nr. of edges Gaussia...
Báo cáo toán học: "Enumeration of derangements with descents in prescribed positions" ppt
... Proof of Theorem 7.1. Ignoring the case with only o ne block of odd length, fix a choice of
s elements from [a + 1,n] to be placed in the first two blocks. We have shown that more
of these ... conjecture of Stanley on alternating
permutations. The Electronic Journal of Com b inatorics, 14 :#N16, 2007.
[2] Chak-On Chow. On the Eulerian enumeration of involutions. The Electronic J...
Báo cáo toán học: "Enumeration of perfect matchings of a type of quadratic lattice on the toru" potx
... 3 Enumeration of perfect matchings of Q
m,n,r
3.1 The sign of pfB(x
1
, x
2
)
In order to decide the sign of pfaffians of B(x
1
, x
2
)(x
1
, x
2
= ±1), we distinguish the
perfect matchings of ... Proc. 1997 Symposium
on the Theory of Computing (STO C).
[16] H. Narumi and H. Hosoya, Proof of the generalized expressions of the number of
perfect matchings of polycube graph...
Báo cáo toán học: "Enumeration of alternating sign matrices of even size (quasi-)invariant under a quarter-turn rotation" pot
... completes the proof of Theorem 6.
5 Open ques tions
The first open problem concerns the so-called q -enumeration of ASM’s, which consists in
counting ASM’s (or classes of symmetry of ASM’s) with ... number of −1
entries (to the number of orbits of −1 entries in the case of symmetric ASM’s). For a
generic value of the g lobal parameter a, when we put all variables to 1, the w...
Báo cáo toán học: "Enumeration of Restricted Permutation Triples" pps
... (11)
3 Enumeration of m-tuples of Permutations
More generally, we may consider the m-tuples of permutations of S
n
with exactly k
occurrences of “ R
m
”. Denote by D(n, k) the number of such ... electronic journal of combinatorics 17 (2010), #R131 6
Enumeration of Restricted
Permutation Triples
Xiaojing Chen
School of Mathematics and Computational Science
China Universit...
Báo cáo toán học: "Enumeration of Pin-Permutations" pdf
... conversely). This gives 2
n+2
strict pin words of size n and concludes
the proof.
The proof of Theorem 4.1 2 follows the structure of the proof of Theorem 3.4 in [16].
Lemma 4.11. [16, Lemma ... oscillation ξ of size n − 1 by the addition of either a minim al
element at the beginning of ξ or a maximal element at the e nd of ξ, followed by a flip of
an element of ξ according...
Báo cáo toán học: " Enumeration of Varlet and Comer hypergroups" pptx
... hyperoperations that associate with two elements of H not an element, as in a
classical structure, but a subset of H. One of the interests of the researchers in the field
of hyperstructur es is to construct ... the following table.
the electronic journal of combinatorics 18 (2011), #P131 5
Enumeration of Varlet and Comer hypergroups
H. Aghabozorgi
Department of Mathematics
Ya...
Báo cáo toán học: " Dilemmas in the reliable estimation of the in-vitro cell viability in magnetic nanoparticle engineering: which tests and what protocols?" doc
... was carried out using iron standard solutions of
0.5 to 5 µg mL
−1
(R = 0.9999). A control sample of deionised water was also run.
Observation of cellular uptake of nanoparticles by transmission ... applications of MNPs emerging, little is known of the adverse biological side
effects due to their nanoscale size. Recently, the importance of such biological characterisatio...