Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Schr\"oder partitions, Schr\"oder tableaux and weak poset patterns   We introduce the notions of Schr\"oder shape and of Schr\"oder tableau, which
provide some kind of analogs of the classical notions of Young shape and Young
tableau. We investigate some properties of the partial order given by
containment of Schr\"oder shapes. Then we propose an algorithm which is the
natural analog of the well known RS correspondence for Young tableaux, and we
characterize those permutations whose insertion tableaux have some special
shapes. The last part of the article relates the notion of Schr\"oder tableau
with those of interval order and of weak containment (and strong avoidance) of
posets. We end our paper with several suggestions for possible further work.

34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an