Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Random walks and community detection in hypergraphs   We propose a one parameter family of random walk processes on hypergraphs,
where a parameter biases the dynamics of the walker towards hyperedges of low
or high cardinality. We show that for each value of the parameter the resulting
process defines its own hypergraph projection on a weighted network. We then
explore the differences between them by considering the community structure
associated to each random walk process. To do so, we generalise the Markov
stability framework to hypergraphs and test it on artificial and real-world
hypergraphs.

16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio