... classes of patterns of size 6
the electronic journal of combinatorics 16 (20 09), #R58 7
Wilf-equivalence on k-ary words, compositions, and
parking functions
V´ıt Jel´ınek
∗
Department of Applied ... also consider analogous problems with in the set of integer comp ositions and
the set of parking functions, which may both be regarded as special types of words,
and which con...
... Section 5, we develop two
new well-coveredness-preserving operations, the partial join (a generalization of both the
disjoint union and the join) and subgraph miniaturization. Finally, in Section ... any-ordered.
In Section 2 we will define the power magnification operation and show that it preserves
well-coveredness (see Section 2.2), and we will then use power magnification to give a s...
...
(http://www.theobroma-cacao.de/wissen/wirtschaft/deutschland/konsum/).
l
Based on normal consumption [44].
m
Based on high consumption [44].
n
Based on an
average consumption of males 13 to 64 years in age per year in Germany [43].
o
Based on ... for Nutrition and Food:
The National Consumption Study Part 2, Nationwide survey on nutrition of youth
and adults; 2008.
[43...
... Marne-la-Vall´ee Cedex, France
Abstract. We generalize and prove two conjectures of Corteel and Lovejoy related to
overpartitions and divisor functions.
Submitted: Apr 29, 2004; Accepted: Jun 16, 2005; ... notations (z; q)
i
=(1− z) ···(1 − zq
i−1
), and
n
i
=
(q; q)
n
(q; q)
i
(q; q)
n−i
.
In the next section, we shall show that (1.1) and (1.2) can be obtained from the Newton
i...
... uniform condition-(C) and weak continuous method to
obtain uniformly asymptotical compactness in H
1
and H
2
, Yue and Zhong [11] investi-
gated the attractors for autonomous and nonautonomous ... Kapustyan and Valero [7] proved the existence of a weak attractor in
both autonomous and non-autonomous cases and gave a existence result of strong
attractors. Kapustyan, Kasyanov and...