Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hardy-Littlewood-Polya's inequality and a new concept of weak
  majorization   In this paper we study some weak majorization properties with applications
for the trees. A strongly notion of majorization is introduced and
Hardy-Littlewood-Polya's inequality is generalized.

17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int