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Table 1 Variables description

From: Higher-order structures of local collaboration networks are associated with individual scientific productivity

Variable

Description

Productivity

Total number of papers published at year t.

\(\beta _{0}\)

The number of disconnected components in the local collaboration network.

\(\beta _{1}\) (binary)

The number of higher-order loops in the local collaboration network. \(\beta _{1} = 1\) if there exists at least one loop, otherwise 0.

Network size

The number of collaborators at year t.

Network density

The fraction of real links with respect to all possible links in conventional collaboration networks.

Average tie strength

The average tie strength between the focal scientist and his/her collaborators between year t-5 and year t-1.

Collaborative strength

The ratio of collaborative papers among collaborators to the total number of papers published by all collaborators between year t-5 and year t-1.

Career age

Career age of the focal scientist.

\(\text{Productivity}_{\overleftarrow{t}}\)

Total number of papers published at the last year in which the scientist has publication records.