Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effective poset inequalities   We explore inequalities on linear extensions of posets and make them
effective in different ways. First, we study the Bj\"orner--Wachs inequality
and generalize it to inequalities on order polynomials and their $q$-analogues
via direct injections and FKG inequalities. Second, we give an injective proof
of the Sidorenko inequality with computational complexity significance, namely
that the difference is in $\#P$. Third, we generalize actions of Coxeter groups
on restricted linear extensions, leading to vanishing and uniqueness conditions
for the generalized Stanley inequality. We also establish several new
inequalities on order polynomials, and prove an asymptotic version of Graham's
inequality.

27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph