Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On $s$-distance-transitive graphs   Distance-regular graphs have many beautiful combinatorial properties.
Distance-transitive graphs have very strong symmetries, and they are
distance-regular, i.e. distance-transitivity implies distance-regularity. In
this paper, we give similar results, i.e. for special $s$ and graphs with other
restrictions we show that $s$-distance-transitivity implies
distance-regularity.

19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph