Báo cáo toán học: " On an Invariant-Theoretic Description of the Lambda Algebra" ppsx
Báo cáo toán học: " On an Invariant-Theoretic Description of the Lambda Algebra" ppsx
... modular invariant theory of the general linear group at the
prime p = 2. In [8], Hung and the author gave a mod-p analogue of the Singer
invariant-theoretic description of the dual of the lambda algebra ... part by the Vietnam National Research Program Grant 140801.
On an Invariant-Theoretic Description of the Lambda Algebra 29
where a
n,k
∈ F
p
and a...
Báo cáo toán học: "On an identity for the cycle indices of rooted tree automorphism groups" doc
... multidimensional version of Lagrange’s inversion formula
due to Good [4]. On the other hand, Constantineau and J. Labelle provide a combinatorial
proof in [3].
First of all, we will give a simple proof ... a rooted tree on k vertices (the component
the electronic journal of combinatorics 13 (2006), #N14 5
2 Proof of the main theorem
By the recursive structure of rooted...
Báo cáo toán học: "K-theory for actions of the circle group on C*-algebras " pot
... class="bi x1 y0 w4 h 1" alt =""
Báo cáo toán học: "On a Strange Recursion of Golomb" ppsx
... by w. The multiplication of A by
n
i=1
1
1−t
i
and the extraction
of the coefficient of t
r
1
t
r
2
···t
r
n
in the result corresponds at the set theoretic level to the
concatenation of the signed ... Section 3 contains the derivation of the
generating series for the number of Stockhausen sequences. In Section 4 we generalize
the method given in Section 3 and...
Báo cáo toán học: "On a Strange Recursion of Golomb" pptx
... (15)
On a Strange Recursion of Golomb
Ed Barbeau Steve Tanny
Department of Mathematics Department of Mathematics
University of Toronto University of Toronto
Toronto, Canada M5S 1A1 Toronto, Canada ... descendants under
b of each of the seeds.
In fact, a second partition is more interesting. It contains an infinite number of sets,
each of which consists of an unique...
Báo cáo toán học: "On a combinatorial problem of Asmus Schmidt" pps
... during a long-term visit at the Mathemat-
ical Institute of Cologne University. I thank the staff of the institute and personally
P. Bundschuh for the brilliant working atmosphere I had there.
References
[1] ... supported by an Alexander von Humboldt research fellowship and partially supported
by grant no. 03-01-00359 of the Russian Foundation for Basic Research.
the electr...
Báo cáo toán học: " On a Partition Function of Richard Stanley" pptx
... by N +1.
Proof of Theorem 1. We let τ
2N
(q, z,y) denote the numerator on the right-hand side of
(3) and τ
2N+1
(q, z,y) denote the numerator on the right-hand side of (4). If we can show
that ... a
3
φ
2
transformation [2, p.242, eq.(III.13)],
and the proof of Theorem 1 is easiest using (3) and (4).
the electronic journal of combinatorics 11(2) (2004), #R1 9
The r...
Báo cáo toán học: "On oriented arc-coloring of subcubic graphs" ppsx
... partial order ≺ on the set of all graphs. Let n
2
(G)bethenumberof
≥
2-vertices of G. For any two graphs G
1
and G
2
, G
1
≺ G
2
if and only if at least one of
the following conditions holds:
• ... respectively the set of successors of v ,the
set of predecessors of v and the set of neighbors of v in G.Themaximum degree and
minimum degree of a graph G are respect...
Báo cáo toán học: " On a Balanced Property of Derangements" pptx
... that
is, the number of partitions of b −i, which is not more than p(t). Therefore, for any fixed
b and i, the function m
a
(i, b) is the sum of a bounded number of polynomial functions of
n, and as ... to the proof of Theorem 3.3. ✸
4 Further Directions
As we have mentioned, in the special case of q = 2, there are known combinatorial
proofs for the balanced property...