Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Block-avoiding point sequencings of arbitrary length in Steiner triple
  systems   An $\ell$-good sequencing of an STS$(v)$ is a permutation of the points of
the design such that no $\ell$ consecutive points in this permutation contain a
block of the design. We prove that, for every integer $\ell \geq 3$, there is
an $\ell$-good sequencing of any STS$(v)$ provided that $v$ is sufficiently
large. We also prove some new nonexistence results for $\ell$-good sequencings
of STS$(v)$.

11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics