Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Identifying critical higher-order interactions in complex networks   Information diffusion on networks is an important concept in network science
observed in many situations such as information spreading and rumor controlling
in social networks, disease contagion between individuals, cascading failures
in power grids. The critical interactions in networks are the ones that play
critical roles in information diffusion and primarily affect network structure
and functions. Besides, interactions can occur between not only two nodes as
pairwise interactions, i.e., edges, but also three or more nodes, described as
higher-order interactions. This report presents a novel method to identify
critical higher-order interactions. We propose two new Laplacians that allow
redefining classical graph centrality measures for higher-order interactions.
We then compare the redefined centrality measures using the
Susceptible-Infected-Recovered (SIR) simulation model. Experimental results
suggest that the proposed method is promising in identifying critical
higher-order interactions.

18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio