Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Method to construct the Sparse-paving Matroids over a Finite Set   In this work we present an algorithm to construct sparse-paving matroids over
finite set $S$. From this algorithm we derive some useful bounds on the
cardinality of the set of circuits of any Sparse-Paving matroids which allow us
to prove in a simple way an asymptotic relation between the class of
Sparse-paving matroids and the whole class of matroids. Additionally we
introduce a matrix based method which render an explicit partition of the
$r$-subsets of $S$, $\binom{S}{r}=\sqcup_{i=1}^{\gamma }\mathcal{U}_{i}$ such
that each $\mathcal{U}_{i}$ defines a sparse-paving matroid of rank $r$.

11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
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
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an