Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modelling transition phenomena of scientific coauthorship networks   In a range of scientific coauthorship networks, transitions emerge in degree
distributions, correlations between degrees and local clustering coefficients,
etc. The existence of those transitions could be regarded as a result of the
diversity in collaboration behaviours of scientific fields. A growing geometric
hypergraph built on a cluster of concentric circles is proposed to model two
specific collaboration behaviours, namely the behaviour of leaders and that of
other members in research teams. The model successfully predicts the
transitions, as well as many common features of coauthorship networks.
Particulary, it realizes a process of deriving the complex "scale-free"
property from the simple "yes/no" experiments. Moreover, it gives a reasonable
explanation for the emergence of transitions with the difference of
collaboration behaviours between leaders and other members. The difference
emerges in the evolution of research teams, which synthetically addresses
several specific factors of generating collaborations, namely the
communications between research teams, the academic impacts and homophily of
authors.

22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat