Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the chromatic number of structured Cayley graphs   In this paper, we will study the chromatic number of Cayley graphs of
algebraic groups that arise from algebraic constructions. Using Lang-Weil bound
and representation theory of finite simple groups of Lie type, we will
establish lower bounds on the chromatic number of these graphs. This provides a
lower bound for the chromatic number of Cayley graphs of the regular graphs
associated to the ring of $n\times n$ matrices over finite fields. Using Weil's
bound for Kloosterman sums we will also prove an analogous result for
$\mathrm{SL}_2$ over finite rings.

37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs