Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on randomly colored matchings in random bipartite graphs   We are given a bipartite graph that contains at least one perfect matching
and where each edge is colored from a set $Q=\{c_1,c_2,\ldots,c_q}\$. Let
$Q_i=\set{e\in E(G):c(e)=c_i}$, where $c(e)$ denotes the color of $e$. The
perfect matching color profile $mcp(G)$ is defined to be the set of vectors
$(m_1,m_2,\ldots,m_q)\in [n]^q$ such that there exists a perfect matching $M$
such that $|M\cap Q_i|=m_i$. We give bounds on the matching color profile for a
randomly colored random bipartite graph.

16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn