Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Combinatorial proof of the log-convexity for the derangements in the
  Coxeter groups   We provide the combinatorial proofs of the log-convexity for the derangement
numbers in the symmetric group $\mathfrak{S}_n$, hyperoctahedral group
$\mathfrak{B}_n$, and the demihyperoctahedral group $\mathfrak{D}_n$. We also
show that the sequences of the even and odd derangement numbers in
$\mathfrak{S}_n$ and $\mathfrak{B}_n$ are log-convex.

27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc