Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Star graphs: threaded distance trees and E-sets   The distribution of distances in the star graph $ST_n$, ($1<n\in\Z$), is
established, and subsequently a threaded binary tree is obtained that realizes
an orientation of $ST_n$ whose levels are given by the distances to the
identity permutation, via a pruning algorithm followed by a threading
algorithm. In the process, the distributions of distances of the efficient
dominating sets of $ST_n$ are determined.

10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph